@article{ZhuangHuangRabczuketal.,
  author    = {Zhuang, Xiaoying and Huang, Runqiu and Rabczuk, Timon and Liang, C.},
  title     = {A coupled thermo-hydro-mechanical model of jointed hard rock for compressed air energy storage},
  series = {Mathematical Problems in Engineering},
  journal   = {Mathematical Problems in Engineering},
  abstract  = {A coupled thermo-hydro-mechanical model of jointed hard rock for compressed air energy storage},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{ZhaoWeiFanetal.,
  author    = {Zhao, Jun-Hua and Wei, Ning and Fan, Z. and Jiang, Jin-Wu and Rabczuk, Timon},
  title     = {Mechanical properties of three types of carbon allotropes},
  series = {Nanotechnology},
  journal   = {Nanotechnology},
  abstract  = {Mechanical properties of three types of carbon allotropes},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{ZhaoWangJiangetal.,
  author    = {Zhao, Jun-Hua and Wang, L. and Jiang, Jin-Wu and Wang, Z. and Guo, Wanlin and Rabczuk, Timon},
  title     = {A comparative study of two molecular mechanics models based on harmonic potentials},
  series = {Journal of Applied Physics},
  journal   = {Journal of Applied Physics},
  abstract  = {A comparative study of two molecular mechanics models based on harmonic potentials},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{ZhaoLuZhangetal.,
  author    = {Zhao, Jun-Hua and Lu, Lixin and Zhang, Zhiliang and Guo, Wanlin and Rabczuk, Timon},
  title     = {Continuum modeling of the cohesive energy for the interfaces between _lms, spheres, coats and substrates},
  series = {Computational Materials Science},
  journal   = {Computational Materials Science},
  pages     = {432 -- 438},
  abstract  = {Continuum modeling of the cohesive energy for the interfaces between _lms, spheres, coats and substrates},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{ZhaoLuRabczuk,
  author    = {Zhao, Jun-Hua and Lu, Lixin and Rabczuk, Timon},
  title     = {Binding energy and mechanical stability of single- and multi-walled carbon nanotube serpentines},
  series = {The Journal of Chemical Physics},
  journal   = {The Journal of Chemical Physics},
  doi       = {10.1063/1.4878115},
  abstract  = {Binding energy and mechanical stability of single- and multi-walled carbon nanotube serpentines},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{ZhaoKouJiangetal.,
  author    = {Zhao, Jun-Hua and Kou, Liangzhi and Jiang, Jin-Wu and Rabczuk, Timon},
  title     = {Tension-induced phase transition of single-layer molybdenum disulphide (MoS2) at low temperatures},
  series = {Nanotechnology},
  journal   = {Nanotechnology},
  doi       = {10.1088/0957-4484/25/29/295701},
  abstract  = {Tension-induced phase transition of single-layer molybdenum disulphide (MoS2) at low temperatures},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{ZhaoJiangJiaetal.,
  author    = {Zhao, Jun-Hua and Jiang, Jin-Wu and Jia, Yue and Guo, Wanlin and Rabczuk, Timon},
  title     = {A theoretical analysis of cohesive energy between carbon nanotubes, graphene and substrates},
  series = {Carbon},
  journal   = {Carbon},
  doi       = {10.1016/j.carbon.2013.01.041},
  pages     = {108 -- 119},
  abstract  = {Explicit solutions for the cohesive energy between carbon nanotubes, graphene and substrates are obtained through continuum modeling of the van der Waals interaction between them. The dependence of the cohesive energy on their size, spacing and crossing angles is analyzed. Checking against full atom molecular dynamics calculations and available experimental results shows that the continuum solution has high accuracy. The equilibrium distances between the nanotubes, graphene and substrates with minimum cohesive energy are also provided explicitly. The obtained analytical solution should be of great help for understanding the interaction between the nanostructures and substrates, and designing composites and nanoelectromechanical systems.},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{ZhaoJiaWeietal.,
  author    = {Zhao, Jun-Hua and Jia, Yue and Wei, Ning and Rabczuk, Timon},
  title     = {Binding energy and mechanical stability of two parallel and crossing carbon nanotubes},
  series = {Journal of Applied Mechanics},
  journal   = {Journal of Applied Mechanics},
  abstract  = {Binding energy and mechanical stability of two parallel and crossing carbon nanotubes},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{ZhaoGuoRabczuk,
  author    = {Zhao, Jun-Hua and Guo, Wanlin and Rabczuk, Timon},
  title     = {An analytical molecular mechanics model for the elastic properties of crystalline polyethylene},
  series = {Journal of Applied Physics},
  journal   = {Journal of Applied Physics},
  doi       = {10.1063/1.4745035},
  abstract  = {We present an analytical model to relate the elastic properties of crystalline polyethylene based on a molecular mechanics approach. Along the polymer chains direction, the united-atom (UA) CH2-CH2 bond stretching, angle bending potentials are replaced with equivalent Euler-Bernoulli beams. Between any two polymer chains, the explicit formulae are derived for the van der Waals interaction represented by the linear springs of different stiffness. Then, the nine independent elastic constants are evaluated systematically using the formulae. The analytical model is finally validated by present united-atom molecular dynamics (MD) simulations and against available all-atom molecular dynamics results in the literature. The established analytical model provides an efficient route for mechanical characterization of crystalline polymers and related materials.},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{ZhaoLuRabczuk,
  author    = {Zhao, Jiyun and Lu, Lixin and Rabczuk, Timon},
  title     = {The tensile and shear failure behavior dependence on chain length and temperature in amorphous polymers},
  series = {Computational Materials Science},
  journal   = {Computational Materials Science},
  pages     = {567 -- 572},
  abstract  = {The tensile and shear failure behavior dependence on chain length and temperature in amorphous polymers},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{ZhaoJiangWangetal.,
  author    = {Zhao, Jiyun and Jiang, Jin-Wu and Wang, L. and Guo, Wanlin and Rabczuk, Timon},
  title     = {Coarse-grained potentials of single-walled carbon nanotubes},
  series = {Journal of the Mechanics and Physics of Solids},
  journal   = {Journal of the Mechanics and Physics of Solids},
  abstract  = {Coarse-grained potentials of single-walled carbon nanotubes},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{ZhangRen,
  author    = {Zhang, Yongzheng and Ren, Huilong},
  title     = {Implicit implementation of the nonlocal operator method: an open source code},
  series = {Engineering with computers},
  volume    = {2022},
  journal   = {Engineering with computers},
  publisher = {Springer},
  address   = {London},
  doi       = {10.1007/s00366-021-01537-x},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20220216-45930},
  pages     = {1 -- 35},
  abstract  = {In this paper, we present an open-source code for the first-order and higher-order nonlocal operator method (NOM) including a detailed description of the implementation. The NOM is based on so-called support, dual-support, nonlocal operators, and an operate energy functional ensuring stability. The nonlocal operator is a generalization of the conventional differential operators. Combined with the method of weighed residuals and variational principles, NOM establishes the residual and tangent stiffness matrix of operate energy functional through some simple matrix without the need of shape functions as in other classical computational methods such as FEM. NOM only requires the definition of the energy drastically simplifying its implementation. The implementation in this paper is focused on linear elastic solids for sake of conciseness through the NOM can handle more complex nonlinear problems. The NOM can be very flexible and efficient to solve partial differential equations (PDEs), it's also quite easy for readers to use the NOM and extend it to solve other complicated physical phenomena described by one or a set of PDEs. Finally, we present some classical benchmark problems including the classical cantilever beam and plate-with-a-hole problem, and we also make an extension of this method to solve complicated problems including phase-field fracture modeling and gradient elasticity material.},
  subject      = {Strukturmechanik},
  language  = {en}
}
@article{ZhangZhuangMuthuetal.,
  author    = {Zhang, Yancheng and Zhuang, Xiaoying and Muthu, Jacob and Mabrouki, Tarek and Fontaine, Micha{\"e}l and Gong, Yadong and Rabczuk, Timon},
  title     = {Load transfer of graphene/carbon nanotube/polyethylene hybrid nanocomposite by molecular dynamics simulation},
  series = {Composites Part B Engineering},
  journal   = {Composites Part B Engineering},
  pages     = {27 -- 33},
  abstract  = {Load transfer of graphene/carbon nanotube/polyethylene hybrid nanocomposite by molecular dynamics simulation},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{ZhangZhaoJiaetal.,
  author    = {Zhang, Yancheng and Zhao, Jun-Hua and Jia, Yue and Mabrouki, Tarek and Gong, Yadong and Wei, Ning and Rabczuk, Timon},
  title     = {An analytical solution on the interface debonding for large diameter carbon nanotube-reinforced composite with functionally graded variation interphase},
  series = {Composite Structures},
  journal   = {Composite Structures},
  pages     = {261 -- 269},
  abstract  = {An analytical solution on the interface debonding for large diameter carbon nanotube-reinforced composite with functionally graded variation interphase},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{ZhangZhaoWeietal.,
  author    = {Zhang, Yancheng and Zhao, Jiyun and Wei, Ning and Jiang, Jin-Wu and Rabczuk, Timon},
  title     = {Effects of the dispersion of polymer wrapped two neighbouring single walled carbon nanotubes (SWNTs) on nanoengineering load transfer},
  series = {Composites Part B: Engineering},
  journal   = {Composites Part B: Engineering},
  pages     = {1714 -- 1721},
  abstract  = {Effects of the dispersion of polymer wrapped two neighbouring single walled carbon nanotubes (SWNTs) on nanoengineering load transfer},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{ZhangWeiZhaoetal.,
  author    = {Zhang, Yancheng and Wei, Ning and Zhao, Jun-Hua and Gong, Yadong and Rabczuk, Timon},
  title     = {Quasi-analytical solution for the stable system of the multi-layer folded graphene wrinkles},
  series = {Journal of Applied Physics},
  journal   = {Journal of Applied Physics},
  abstract  = {Quasi-analytical solution for the stable system of the multi-layer folded graphene wrinkles},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{ZhangWangLahmeretal.,
  author    = {Zhang, Chao and Wang, Cuixia and Lahmer, Tom and He, Pengfei and Rabczuk, Timon},
  title     = {A dynamic XFEM formulation for crack identification},
  series = {International Journal of Mechanics and Materials in Design},
  journal   = {International Journal of Mechanics and Materials in Design},
  pages     = {427 -- 448},
  abstract  = {A dynamic XFEM formulation for crack identification},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{ZhangNanthakumarLahmeretal.,
  author    = {Zhang, Chao and Nanthakumar, S.S. and Lahmer, Tom and Rabczuk, Timon},
  title     = {Multiple cracks identification for piezoelectric structures},
  series = {International Journal of Fracture},
  journal   = {International Journal of Fracture},
  pages     = {1 -- 19},
  abstract  = {Multiple cracks identification for piezoelectric structures},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{ZerbstVormwaldAnderschetal.,
  author    = {Zerbst, U. and Vormwald, Michael and Andersch, C. and M{\"a}dler, K. and Pfuff, M.},
  title     = {The development of a damage tolerance concept for railway components and its demonstration for a railway axle},
  series = {Engineering Fracture Mechanics},
  journal   = {Engineering Fracture Mechanics},
  pages     = {209 -- 239},
  abstract  = {The development of a damage tolerance concept for railway components and its demonstration for a railway axle},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{ZabelBrehm,
  author    = {Zabel, Volkmar and Brehm, Maik},
  title     = {Das dynamische Verhalten von Eisenbahnbr{\"u}cken mit kurzer Spannweite - numerische und experimentelle Untersuchungen},
  series = {Bauingenieur, D-A-CH-Mitteilungsblatt},
  journal   = {Bauingenieur, D-A-CH-Mitteilungsblatt},
  abstract  = {Das dynamische Verhalten von Eisenbahnbr{\"u}cken mit kurzer Spannweite - numerische und experimentelle Untersuchungen},
  subject      = {Angewandte Mathematik},
  language  = {de}
}
@article{Zabel,
  author    = {Zabel, Volkmar},
  title     = {An application of discrete wavelet analysis and connection coefficients to parametric system identification},
  series = {Structural Health Monitoring},
  journal   = {Structural Health Monitoring},
  pages     = {5 -- 18},
  abstract  = {An application of discrete wavelet analysis and connection coefficients to parametric system identification},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{YangBudarapuMahapatraetal.,
  author    = {Yang, Shih-Wei and Budarapu, Pattabhi Ramaiah and Mahapatra, D.R. and Bordas, St{\´e}phane Pierre Alain and Zi, Goangseup and Rabczuk, Timon},
  title     = {A Meshless Adaptive Multiscale Method for Fracture},
  series = {Computational Materials Science},
  journal   = {Computational Materials Science},
  pages     = {382 -- 395},
  abstract  = {A Meshless Adaptive Multiscale Method for Fracture},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{XuMourrainGalligoetal.,
  author    = {Xu, G. and Mourrain, B. and Galligo, A. and Rabczuk, Timon},
  title     = {High-quality construction of analysis-suitable trivariate NURBS solids by reparameterization methods},
  series = {Computational Mechanics},
  journal   = {Computational Mechanics},
  abstract  = {High-quality construction of analysis-suitable trivariate NURBS solids by reparameterization methods},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{VuBacSilaniLahmeretal.,
  author    = {Vu-Bac, N. and Silani, Mohammad and Lahmer, Tom and Zhuang, Xiaoying and Rabczuk, Timon},
  title     = {A unified framework for stochastic predictions of Young's modulus of clay/epoxy nanocomposites (PCNs)},
  series = {Computational Materials Science},
  journal   = {Computational Materials Science},
  pages     = {520 -- 535},
  abstract  = {A unified framework for stochastic predictions of Young's modulus of clay/epoxy nanocomposites (PCNs)},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{VuBacRafieeZhuangetal.,
  author    = {Vu-Bac, N. and Rafiee, Roham and Zhuang, Xiaoying and Lahmer, Tom and Rabczuk, Timon},
  title     = {Uncertainty quantification for multiscale modeling of polymer nanocomposites with correlated parameters},
  series = {Composites Part B: Engineering},
  journal   = {Composites Part B: Engineering},
  pages     = {446 -- 464},
  abstract  = {Uncertainty quantification for multiscale modeling of polymer nanocomposites with correlated parameters},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{VuBacLahmerZhuangetal.,
  author    = {Vu-Bac, N. and Lahmer, Tom and Zhuang, Xiaoying and Nguyen-Thoi, T. and Rabczuk, Timon},
  title     = {A software framework for probabilistic sensitivity analysis for computationally expensive models},
  series = {Advances in Engineering Software},
  journal   = {Advances in Engineering Software},
  pages     = {19 -- 31},
  abstract  = {A software framework for probabilistic sensitivity analysis for computationally expensive models},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{VuBacLahmerZhangetal.,
  author    = {Vu-Bac, N. and Lahmer, Tom and Zhang, Yancheng and Zhuang, Xiaoying and Rabczuk, Timon},
  title     = {Stochastic predictions of interfacial characteristic of polymeric nanocomposites (PNCs)},
  series = {Composites Part B Engineering},
  journal   = {Composites Part B Engineering},
  pages     = {80 -- 95},
  abstract  = {Stochastic predictions of interfacial characteristic of polymeric nanocomposites (PNCs)},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{VuBacLahmerKeiteletal.,
  author    = {Vu-Bac, N. and Lahmer, Tom and Keitel, Holger and Zhao, Jun-Hua and Zhuang, Xiaoying and Rabczuk, Timon},
  title     = {Stochastic predictions of bulk properties of amorphous polyethylene based on molecular dynamics simulations},
  series = {Mechanics of Materials},
  journal   = {Mechanics of Materials},
  pages     = {70 -- 84},
  abstract  = {Stochastic predictions of bulk properties of amorphous polyethylene based on molecular dynamics simulations},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{ValizadehNatarajanGonzalezEstradaetal.,
  author    = {Valizadeh, Navid and Natarajan, S. and Gonzalez-Estrada, O.A. and Rabczuk, Timon and Tinh Quoc, Bui and Bordas, St{\´e}phane Pierre Alain},
  title     = {NURBS-based finite element analysis of functionally graded plates: static bending, vibration, buckling and flutter},
  series = {Composite Structures},
  journal   = {Composite Structures},
  pages     = {309 -- 326},
  abstract  = {NURBS-based finite element analysis of functionally graded plates: static bending, vibration, buckling and flutter},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{UngerTeughelsDeRoeck,
  author    = {Unger, J{\"o}rg F. and Teughels, A. and De Roeck, G.},
  title     = {Damage detection of a prestressed concrete beam using modal strains},
  series = {Journal of Structural Engineering},
  journal   = {Journal of Structural Engineering},
  pages     = {1456 -- 1463},
  abstract  = {Damage detection of a prestressed concrete beam using modal strains},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{UngerTeughelsDeRoeck,
  author    = {Unger, J{\"o}rg F. and Teughels, A. and De Roeck, G.},
  title     = {System identification and damage detection of a prestressed concrete beam},
  series = {Journal of Structural Engineering},
  journal   = {Journal of Structural Engineering},
  pages     = {1691 -- 1698},
  abstract  = {System identification and damage detection of a prestressed concrete beam},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{UngerKoenke,
  author    = {Unger, J{\"o}rg F. and K{\"o}nke, Carsten},
  title     = {Coupling of scales in a multiscale simulation using neural networks},
  series = {Computers \& Structures},
  journal   = {Computers \& Structures},
  abstract  = {Coupling of scales in a multiscale simulation using neural networks},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{UngerEckardtKoenke,
  author    = {Unger, J{\"o}rg F. and Eckardt, Stefan and K{\"o}nke, Carsten},
  title     = {Modelling of cohesive crack growth in concrete structures with the extended finite element method},
  series = {Computer Methods in Applied Mechanics and Engineering},
  journal   = {Computer Methods in Applied Mechanics and Engineering},
  pages     = {4087 -- 4100},
  abstract  = {Modelling of cohesive crack growth in concrete structures with the extended finite element method},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{ThumserBergmannVormwald,
  author    = {Thumser, Rayk and Bergmann, Joachim W. and Vormwald, Michael},
  title     = {Residual stress fields and fatigue analysis of autofrettaged parts},
  series = {International Journal of Pressure Vessels and Piping},
  journal   = {International Journal of Pressure Vessels and Piping},
  pages     = {113 -- 117},
  abstract  = {Residual stress fields and fatigue analysis of autofrettaged parts},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{ThaiNguyenXuanNguyenThanhetal.,
  author    = {Thai, Chien H. and Nguyen-Xuan, Hung and Nguyen-Thanh, Nhon and Le, T.H. and Nguyen-Thoi, T. and Rabczuk, Timon},
  title     = {Static, free vibration and buckling analysis of laminated composite Reissner-Mindlin plates using NURBS-based isogeometric approach},
  series = {International Journal for Numerical Methods in Engineering},
  journal   = {International Journal for Numerical Methods in Engineering},
  doi       = {10.1002/nme.4282},
  pages     = {571 -- 603},
  abstract  = {This paper presents a novel numerical procedure based on the framework of isogeometric analysis for static, free vibration, and buckling analysis of laminated composite plates using the first-order shear deformation theory. The isogeometric approach utilizes non-uniform rational B-splines to implement for the quadratic, cubic, and quartic elements. Shear locking problem still exists in the stiffness formulation, and hence, it can be significantly alleviated by a stabilization technique. Several numerical examples are presented to show the performance of the method, and the results obtained are compared with other available ones.},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{ThaiNguyenXuanBordasetal.,
  author    = {Thai, Chien H. and Nguyen-Xuan, Hung and Bordas, St{\´e}phane Pierre Alain and Nguyen-Thanh, Nhon and Rabczuk, Timon},
  title     = {Isogeometric analysis of laminated composite plates using the higher-order shear deformation theory},
  series = {Mechanics of Advanced Materials and Structures},
  journal   = {Mechanics of Advanced Materials and Structures},
  pages     = {451 -- 469},
  abstract  = {Isogeometric analysis of laminated composite plates using the higher-order shear deformation theory},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{ThaiFerreiraBordasetal.,
  author    = {Thai, Chien H. and Ferreira, A.J.M. and Bordas, St{\´e}phane Pierre Alain and Rabczuk, Timon and Nguyen-Xuan, Hung},
  title     = {Isogeometric analysis of laminated composite and sandwich plates using a new inverse trigonometric shear deformation theory},
  series = {European Journal of Mechanics},
  journal   = {European Journal of Mechanics},
  pages     = {89 -- 108},
  abstract  = {Isogeometric analysis of laminated composite and sandwich plates using a new inverse trigonometric shear deformation theory},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{TalebiZiSilanietal.,
  author    = {Talebi, Hossein and Zi, Goangseup and Silani, Mohammad and Samaniego, Esteban and Rabczuk, Timon},
  title     = {A simple circular cell method for multilevel finite element analysis},
  series = {Journal of Applied Mathematics},
  journal   = {Journal of Applied Mathematics},
  doi       = {10.1155/2012/526846},
  abstract  = {A simple multiscale analysis framework for heterogeneous solids based on a computational homogenization technique is presented. The macroscopic strain is linked kinematically to the boundary displacement of a circular or spherical representative volume which contains the microscopic information of the material. The macroscopic stress is obtained from the energy principle between the macroscopic scale and the microscopic scale. This new method is applied to several standard examples to show its accuracy and consistency of the method proposed.},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{TalebiSilaniRabczuk,
  author    = {Talebi, Hossein and Silani, Mohammad and Rabczuk, Timon},
  title     = {Concurrent Multiscale Modelling of Three Dimensional Crack and Dislocation Propagation},
  series = {Advances in Engineering Software},
  journal   = {Advances in Engineering Software},
  pages     = {82 -- 92},
  abstract  = {Concurrent Multiscale Modelling of Three Dimensional Crack and Dislocation Propagation},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{TalebiSilaniBordasetal.,
  author    = {Talebi, Hossein and Silani, Mohammad and Bordas, St{\´e}phane Pierre Alain and Kerfriden, Pierre and Rabczuk, Timon},
  title     = {Molecular Dynamics/XFEM Coupling by a Three-Dimensional Extended Bridging Domain with Applications to Dynamic Brittle Fracture},
  series = {International Journal for Multiscale Computational Engineering},
  journal   = {International Journal for Multiscale Computational Engineering},
  abstract  = {Molecular Dynamics/XFEM Coupling by a Three-Dimensional Extended Bridging Domain with Applications to Dynamic Brittle Fracture},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{TalebiSilaniBordasetal.,
  author    = {Talebi, Hossein and Silani, Mohammad and Bordas, St{\´e}phane Pierre Alain and Kerfriden, Pierre and Rabczuk, Timon},
  title     = {A computational library for multiscale modeling of material failure},
  series = {Computational Mechanics},
  journal   = {Computational Mechanics},
  abstract  = {A computational library for multiscale modeling of material failure},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{TalebiSamaniegoSamaniegoetal.,
  author    = {Talebi, Hossein and Samaniego, C. and Samaniego, Esteban and Rabczuk, Timon},
  title     = {On the numerical stability and mass-lumping schemes for explicit enriched meshfree methods},
  series = {International Journal for Numerical Methods in Engineering},
  journal   = {International Journal for Numerical Methods in Engineering},
  doi       = {10.1002/nme.3275},
  pages     = {1009 -- 1027},
  abstract  = {Meshfree methods (MMs) such as the element free Galerkin (EFG)method have gained popularity because of some advantages over other numerical methods such as the finite element method (FEM). A group of problems that have attracted a great deal of attention from the EFG method community includes the treatment of large deformations and dealing with strong discontinuities such as cracks. One efficient solution to model cracks is adding special enrichment functions to the standard shape functions such as extended FEM, within the FEM context, and the cracking particles method, based on EFG method. It is well known that explicit time integration in dynamic applications is conditionally stable. Furthermore, in enriched methods, the critical time step may tend to very small values leading to computationally expensive simulations. In this work, we study the stability of enriched MMs and propose two mass-lumping strategies. Then we show that the critical time step for enriched MMs based on lumped mass matrices is of the same order as the critical time step of MMs without enrichment. Moreover, we show that, in contrast to extended FEM, even with a consistent mass matrix, the critical time step does not vanish even when the crack directly crosses a node.},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{SteinLahmerBock,
  author    = {Stein, Peter and Lahmer, Tom and Bock, Sebastian},
  title     = {Synthese und Analyse von gekoppelten Modellen im konstruktiven Ingenieurbau},
  series = {Bautechnik},
  journal   = {Bautechnik},
  pages     = {8 -- 11},
  abstract  = {Synthese und Analyse von gekoppelten Modellen im konstruktiven Ingenieurbau},
  subject      = {Angewandte Mathematik},
  language  = {de}
}
@article{SimpsonBordasTrevelyanetal.,
  author    = {Simpson, R. and Bordas, St{\´e}phane Pierre Alain and Trevelyan, J. and Kerfriden, Pierre and Rabczuk, Timon},
  title     = {An Isogeometric Boundary Element Method for elastostatic analysis},
  series = {Computer Methods in Applied Mechanics and Engineering},
  journal   = {Computer Methods in Applied Mechanics and Engineering},
  doi       = {10.1016/j.cma.2011.08.008},
  abstract  = {The concept of isogeometric analysis, where functions that are used to describe geometry in CAD software are used to approximate the unknown fields in numerical simulations, has received great attention in recent years. The method has the potential to have profound impact on engineering design, since the task of meshing, which in some cases can add significant overhead, has been circumvented. Much of the research effort has been focused on finite element implementations of the isogeometric concept, but at present, little has been seen on the application to the Boundary Element Method. The current paper proposes an Isogeometric Boundary Element Method (BEM), which we term IGABEM, applied to two-dimensional elastostatic problems using Non-Uniform Rational B-Splines (NURBS). We find it is a natural fit with the isogeometric concept since both the NURBS approximation and BEM deal with quantities entirely on the boundary. The method is verified against analytical solutions where it is seen that superior accuracies are achieved over a conventional quadratic isoparametric BEM implementation.},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{SilaniZiaeiRadTalebietal.,
  author    = {Silani, Mohammad and Ziaei-Rad, S. and Talebi, Hossein and Rabczuk, Timon},
  title     = {A Semi-Concurrent Multiscale Approach for Modeling Damage in Nanocomposites},
  series = {Theoretical and Applied Fracture Mechanics},
  journal   = {Theoretical and Applied Fracture Mechanics},
  abstract  = {A Semi-Concurrent Multiscale Approach for Modeling Damage in Nanocomposites},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{SilaniTalebiZiaeiRadetal.,
  author    = {Silani, Mohammad and Talebi, Hossein and Ziaei-Rad, S. and Hamouda, A.M.S. and Zi, Goangseup and Rabczuk, Timon},
  title     = {A three dimensional Extended Arlequin Method for Dynamic Fracture},
  series = {Computational Materials Science},
  journal   = {Computational Materials Science},
  pages     = {425 -- 431},
  abstract  = {A three dimensional Extended Arlequin Method for Dynamic Fracture},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{SilaniTalebiArnoldetal.,
  author    = {Silani, Mohammad and Talebi, Hossein and Arnold, Daniel and Ziaei-Rad, S. and Rabczuk, Timon},
  title     = {On the coupling of a commercial finite element package with lammps for multiscale modeling of materials},
  series = {Steel Research International},
  journal   = {Steel Research International},
  abstract  = {On the coupling of a commercial finite element package with lammps for multiscale modeling of materials},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{SchraderKoenke,
  author    = {Schrader, Kai and K{\"o}nke, Carsten},
  title     = {Distributed computing for the nonlinear analysis of multiphase composites},
  series = {Advances in Engineering Software},
  journal   = {Advances in Engineering Software},
  pages     = {20 -- 32},
  abstract  = {Distributed computing for the nonlinear analysis of multiphase composites},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{SchraderKoenke,
  author    = {Schrader, Kai and K{\"o}nke, Carsten},
  title     = {Hybrid computing models for large-scale heterogeneous 3d microstructures},
  series = {International Journal for Multiscale Computational Engineering},
  journal   = {International Journal for Multiscale Computational Engineering},
  pages     = {365 -- 377},
  abstract  = {Hybrid computing models for large-scale heterogeneous 3d microstructures},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{SavaidisVormwald,
  author    = {Savaidis, G. and Vormwald, Michael},
  title     = {Hot-spot stress evaluation of fatigue in welded structural connections supported by finite element analysis},
  series = {International Journal of Fatigue},
  journal   = {International Journal of Fatigue},
  pages     = {85 -- 91},
  abstract  = {Hot-spot stress evaluation of fatigue in welded structural connections supported by finite element analysis},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{SavaidisSchliebnerVormwald,
  author    = {Savaidis, G. and Schliebner, R. and Vormwald, Michael},
  title     = {Lebensdauerermittlung von geschweißten, mehrachsig belasteten Nutzfahrzeugkomponenten - Vergleich von Schwingfestigkeiten aus Rechnung und Versuch bei nichtproportionaler Beanspruchung},
  series = {Materialpr{\"u}fung},
  journal   = {Materialpr{\"u}fung},
  pages     = {381 -- 386},
  abstract  = {Lebensdauerermittlung von geschweißten, mehrachsig belasteten Nutzfahrzeugkomponenten - Vergleich von Schwingfestigkeiten aus Rechnung und Versuch bei nichtproportionaler Beanspruchung},
  subject      = {Angewandte Mathematik},
  language  = {de}
}
@article{SavaidisSavaidisSchliebneretal.,
  author    = {Savaidis, G. and Savaidis, A. and Schliebner, R. and Vormwald, Michael},
  title     = {Evaluation of fatigue of fillet welded joints in vehicle components under multiaxial service loads},
  series = {European Structural Integrity Society},
  journal   = {European Structural Integrity Society},
  pages     = {23 -- 42},
  abstract  = {Evaluation of fatigue of fillet welded joints in vehicle components under multiaxial service loads},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{ReichertOlneyLahmer,
  author    = {Reichert, Ina and Olney, Peter and Lahmer, Tom},
  title     = {Combined approach for optimal sensor placement and experimental verification in the context of tower-like structures},
  series = {Journal of Civil Structural Health Monitoring},
  volume    = {2021},
  journal   = {Journal of Civil Structural Health Monitoring},
  number    = {volume 11},
  publisher = {Heidelberg},
  address   = {Springer},
  doi       = {10.1007/s13349-020-00448-7},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20210804-44701},
  pages     = {223 -- 234},
  abstract  = {When it comes to monitoring of huge structures, main issues are limited time, high costs and how to deal with the big amount of data. In order to reduce and manage them, respectively, methods from the field of optimal design of experiments are useful and supportive. Having optimal experimental designs at hand before conducting any measurements is leading to a highly informative measurement concept, where the sensor positions are optimized according to minimal errors in the structures' models. For the reduction of computational time a combined approach using Fisher Information Matrix and mean-squared error in a two-step procedure is proposed under the consideration of different error types. The error descriptions contain random/aleatoric and systematic/epistemic portions. Applying this combined approach on a finite element model using artificial acceleration time measurement data with artificially added errors leads to the optimized sensor positions. These findings are compared to results from laboratory experiments on the modeled structure, which is a tower-like structure represented by a hollow pipe as the cantilever beam. Conclusively, the combined approach is leading to a sound experimental design that leads to a good estimate of the structure's behavior and model parameters without the need of preliminary measurements for model updating.},
  subject      = {Strukturmechanik},
  language  = {en}
}
@article{RabizadehSaboorBagherzadehRabczuk,
  author    = {Rabizadeh, Ehsan and Saboor Bagherzadeh, Amir and Rabczuk, Timon},
  title     = {Application of goal-oriented error estimation and adaptive mesh refinement on thermo-mechanical multifield problems},
  series = {Computational Materials Science},
  journal   = {Computational Materials Science},
  pages     = {27 -- 44},
  abstract  = {Application of goal-oriented error estimation and adaptive mesh re_nement on thermo-mechanical multi_eld problems},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{PhanDaoNguyenXuanThaiHoangetal.,
  author    = {Phan-Dao, H. and Nguyen-Xuan, Hung and Thai-Hoang, C. and Nguyen-Thoi, T. and Rabczuk, Timon},
  title     = {An edge-based smoothed finite element method for analysis of laminated composite plates},
  series = {International Journal of Computational Methods},
  journal   = {International Journal of Computational Methods},
  abstract  = {An edge-based smoothed finite element method for analysis of laminated composite plates},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{NguyenXuanRabczukNguyenThoietal.,
  author    = {Nguyen-Xuan, Hung and Rabczuk, Timon and Nguyen-Thoi, T. and Tran, T. and Nguyen-Thanh, Nhon},
  title     = {Computation of limit and shakedown loads using a node-based smoothed finite element method},
  series = {International Journal for Numerical Methods in Engineering},
  journal   = {International Journal for Numerical Methods in Engineering},
  doi       = {10.1002/nme.3317},
  pages     = {287 -- 310},
  abstract  = {This paper presents a novel numerical procedure for computing limit and shakedown loads of structures using a node-based smoothed FEM in combination with a primal-dual algorithm. An associated primal-dual form based on the von Mises yield criterion is adopted. The primal-dual algorithm together with a Newton-like iteration are then used to solve this associated primal-dual form to determine simultaneously both approximate upper and quasi-lower bounds of the plastic collapse limit and the shakedown limit. The present formulation uses only linear approximations and its implementation into finite element programs is quite simple. Several numerical examples are given to show the reliability, accuracy, and generality of the present formulation compared with other available methods.},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{NguyenXuanRabczukNguyenThanhetal.,
  author    = {Nguyen-Xuan, Hung and Rabczuk, Timon and Nguyen-Thanh, Nhon and Nguyen-Thoi, T. and Bordas, St{\´e}phane Pierre Alain},
  title     = {A node-based smoothed finite element method (NS-FEM) for analysis of Reissner-Mindlin plates},
  series = {Computational Mechanics},
  journal   = {Computational Mechanics},
  pages     = {679 -- 701},
  abstract  = {A node-based smoothed finite element method (NS-FEM) for analysis of Reissner-Mindlin plates},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{NguyenXuanNguyenBordasetal.,
  author    = {Nguyen-Xuan, Hung and Nguyen, Hiep Vinh and Bordas, St{\´e}phane Pierre Alain and Rabczuk, Timon and Duflot, Marc},
  title     = {A cell-based smoothed finite element method for three dimensional solid structures},
  series = {KSCE Journal of Civil Engineering},
  journal   = {KSCE Journal of Civil Engineering},
  doi       = {10.1007/s12205-012-1515-7},
  pages     = {1230 -- 1242},
  abstract  = {This paper extends further the strain smoothing technique in finite elements to 8-noded hexahedral elements (CS-FEM-H8). The idea behind the present method is similar to the cell-based smoothed 4-noded quadrilateral finite elements (CS-FEM-Q4). In CSFEM, the smoothing domains are created based on elements, and each element can be further subdivided into 1 or several smoothing cells. It is observed that: 1) The CS-FEM using a single smoothing cell can produce higher stress accuracy, but insufficient rank and poor displacement accuracy; 2) The CS-FEM using several smoothing cells has proper rank, good displacement accuracy, but lower stress accuracy, especially for nearly incompressible and bending dominant problems. We therefore propose 1) an extension of strain smoothing to 8-noded hexahedral elements and 2) an alternative CS-FEM form, which associates the single smoothing cell issue with multi-smoothing cell one via a stabilization technique. Several numerical examples are provided to show the reliability and accuracy of the present formulation.},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{NguyenXuanLiuBordasetal.,
  author    = {Nguyen-Xuan, Hung and Liu, G.R. and Bordas, St{\´e}phane Pierre Alain and Natarajan, S. and Rabczuk, Timon},
  title     = {An adaptive singular ES-FEM for mechanics problems with singular field of arbitrary order},
  series = {Computer Methods in Applied Mechanics and Engineering},
  journal   = {Computer Methods in Applied Mechanics and Engineering},
  pages     = {252 -- 273},
  abstract  = {An adaptive singular ES-FEM for mechanics problems with singular field of arbitrary order},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{NguyenVinhBakarMsekhetal.,
  author    = {Nguyen-Vinh, H. and Bakar, I. and Msekh, Mohammed Abdulrazzak and Song, Jeong-Hoon and Muthu, Jacob and Zi, Goangseup and Le, P. and Bordas, St{\´e}phane Pierre Alain and Simpson, R. and Natarajan, S. and Lahmer, Tom and Rabczuk, Timon},
  title     = {Extended Finite Element Method for Dynamic Fracture of Piezo-Electric Materials},
  series = {Engineering Fracture Mechanics},
  journal   = {Engineering Fracture Mechanics},
  doi       = {10.1016/j.engfracmech.2012.04.025},
  pages     = {19 -- 31},
  abstract  = {We present an extended finite element formulation for dynamic fracture of piezo-electric materials. The method is developed in the context of linear elastic fracture mechanics. It is applied to mode I and mixed mode-fracture for quasi-steady cracks. An implicit time integration scheme is exploited. The results are compared to results obtained with the boundary element method and show excellent agreement.},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{NguyenTuanLahmerDatchevaetal.,
  author    = {Nguyen-Tuan, Long and Lahmer, Tom and Datcheva, Maria and Stoimenova, Eugenia and Schanz, Tom},
  title     = {A novel parameter identification approach for buffer elements involving complex coupled thermo-hydro-mechanical analyses},
  series = {Computers and Geotechnics},
  journal   = {Computers and Geotechnics},
  pages     = {23 -- 32},
  abstract  = {A novel parameter identification approach for buffer elements involving complex coupled thermo-hydro-mechanical analyses},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{NguyenTuanLahmerDatchevaetal.,
  author    = {Nguyen-Tuan, Long and Lahmer, Tom and Datcheva, Maria and Schanz, Tom},
  title     = {Global and local sensitivity analyses for coupled thermo-hydro-mechanical problems},
  series = {International Journal for Numerical and Analytical Methods in Geomechanics},
  journal   = {International Journal for Numerical and Analytical Methods in Geomechanics},
  abstract  = {Global and local sensitivity analyses for coupled thermo-hydro-mechanical problems},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{NguyenTuanKoenkeBettziecheetal.,
  author    = {Nguyen-Tuan, Long and K{\"o}nke, Carsten and Bettzieche, Volker and Lahmer, Tom},
  title     = {Numerical modeling and validation for 3D coupled-nonlinear thermo-hydro-mechanical problems in masonry dams},
  series = {Computers \& Structures},
  journal   = {Computers \& Structures},
  pages     = {143 -- 154},
  abstract  = {Numerical modeling and validation for 3D coupled-nonlinear thermo-hydro-mechanical problems in masonry dams},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{NguyenThoiRabczukLamPhatetal.,
  author    = {Nguyen-Thoi, T. and Rabczuk, Timon and Lam-Phat, T. and Ho-Huu, V. and Phung-Van, P.},
  title     = {Free vibration analysis of cracked Mindlin plate using an extended cell-based smoothed discrete shear gap method (XCS-DSG3)},
  series = {Theoretical and Applied Fracture Mechanics},
  journal   = {Theoretical and Applied Fracture Mechanics},
  abstract  = {Free vibration analysis of cracked Mindlin plate using an extended cell-based smoothed discrete shear gap method (XCS-DSG3)},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{NguyenThoiPhungVanRabczuketal.,
  author    = {Nguyen-Thoi, T. and Phung-Van, P. and Rabczuk, Timon and Nguyen-Xuan, Hung and Le-Van, C.},
  title     = {An application of the ES-FEM in solid domain for dynamic analysis of 2D fluid-solid interaction problems},
  series = {International Journal of Computational Methods},
  journal   = {International Journal of Computational Methods},
  abstract  = {An application of the ES-FEM in solid domain for dynamic analysis of 2D fluid-solid interaction problems},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{NguyenThoiPhungVanRabczuketal.,
  author    = {Nguyen-Thoi, T. and Phung-Van, P. and Rabczuk, Timon and Nguyen-Xuan, Hung and Le-Van, C.},
  title     = {Free and forced vibration analysis using the n-sided polygonal cell-based smoothed finite element method (nCS-FEM)},
  series = {International Journal of Computational Methods},
  journal   = {International Journal of Computational Methods},
  abstract  = {Free and forced vibration analysis using the n-sided polygonal cell-based smoothed finite element method (nCS-FEM)},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{NguyenThanhValizadehNguyenetal.,
  author    = {Nguyen-Thanh, Nhon and Valizadeh, Navid and Nguyen, Manh Hung and Nguyen-Xuan, Hung and Zhuang, Xiaoying and Areias, Pedro and Zi, Goangseup and Bazilevs, Yuri and De Lorenzis, Laura and Rabczuk, Timon},
  title     = {An extended isogeometric thin shell analysis based on Kirchhoff-Love theory},
  series = {Computer Methods in Applied Mechanics and Engineering},
  journal   = {Computer Methods in Applied Mechanics and Engineering},
  pages     = {265 -- 291},
  abstract  = {An extended isogeometric thin shell analysis based on Kirchho_-Love theory},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{NguyenThanhThaiHoangNguyenXuanetal.,
  author    = {Nguyen-Thanh, Nhon and Thai-Hoang, C. and Nguyen-Xuan, Hung and Rabczuk, Timon},
  title     = {A smoothed finite element method for the static and free vibration analysis of shells},
  series = {Journal of Civil Engineering and Architecture},
  journal   = {Journal of Civil Engineering and Architecture},
  pages     = {13 -- 25},
  abstract  = {A smoothed finite element method for the static and free vibration analysis of shells},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{NguyenThanhRabczukNguyenXuanetal.,
  author    = {Nguyen-Thanh, Nhon and Rabczuk, Timon and Nguyen-Xuan, Hung and Bordas, St{\´e}phane Pierre Alain},
  title     = {An alternative alpha finite element method with stabilized discrete shear gap technique for analysis of Mindlin-Reissner plates},
  series = {Finite Elements in Analysis \& Design},
  journal   = {Finite Elements in Analysis \& Design},
  pages     = {519 -- 535},
  abstract  = {An alternative alpha finite element method with stabilized discrete shear gap technique for analysis of Mindlin-Reissner plates},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{NguyenThanhRabczukNguyenXuanetal.,
  author    = {Nguyen-Thanh, Nhon and Rabczuk, Timon and Nguyen-Xuan, Hung and Bordas, St{\´e}phane Pierre Alain},
  title     = {An alternative alpha finite element method (A?FEM) free and forced vibration analysis of solids using triangular meshes},
  series = {Journal of Computational and Applied Mathematics},
  journal   = {Journal of Computational and Applied Mathematics},
  pages     = {2112 -- 2135},
  abstract  = {An alternative alpha finite element method (A?FEM) free and forced vibration analysis of solids using triangular meshes},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{NguyenThanhNguyenXuanBordasetal.,
  author    = {Nguyen-Thanh, Nhon and Nguyen-Xuan, Hung and Bordas, St{\´e}phane Pierre Alain and Rabczuk, Timon},
  title     = {Isogeometric analysis using polynomial splines over hierarchical T-meshes for two-dimensional elastic solids},
  series = {Computer Methods in Applied Mechanics and Engineering},
  journal   = {Computer Methods in Applied Mechanics and Engineering},
  pages     = {1892 -- 1908},
  abstract  = {Isogeometric analysis using polynomial splines over hierarchical T-meshes for two-dimensional elastic solids},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{NguyenThanhMuthuZhuangetal.,
  author    = {Nguyen-Thanh, Nhon and Muthu, Jacob and Zhuang, Xiaoying and Rabczuk, Timon},
  title     = {An adaptive three-dimensional RHT-splines formulation in linear elasto-statics and elasto-dynamics},
  series = {Computational Mechanics},
  journal   = {Computational Mechanics},
  pages     = {369 -- 385},
  abstract  = {An adaptive three-dimensional RHT-splines formulation in linear elasto-statics and elasto-dynamics},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{NguyenThanhKiendlNguyenXuanetal.,
  author    = {Nguyen-Thanh, Nhon and Kiendl, J. and Nguyen-Xuan, Hung and W{\"u}chner, R. and Bletzinger, Kai-Uwe and Bazilevs, Yuri and Rabczuk, Timon},
  title     = {Rotation free isogeometric thin shell analysis using PHT-splines},
  series = {Computer Methods in Applied Mechanics and Engineering},
  journal   = {Computer Methods in Applied Mechanics and Engineering},
  pages     = {3410 -- 3424},
  abstract  = {Rotation free isogeometric thin shell analysis using PHT-splines},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{NguyenKerfridenBordasetal.,
  author    = {Nguyen, V.P. and Kerfriden, Pierre and Bordas, St{\´e}phane Pierre Alain and Rabczuk, Timon},
  title     = {Isogeometric analysis suitable trivariate NURBS representation of composite panels with a new offset algorithm},
  series = {Computer-Aided Design},
  journal   = {Computer-Aided Design},
  abstract  = {Isogeometric analysis suitable trivariate NURBS representation of composite panels with a new offset algorithm},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{NatarajanChakrabortyThangaveletal.,
  author    = {Natarajan, S. and Chakraborty, S. and Thangavel, M. and Bordas, St{\´e}phane Pierre Alain and Rabczuk, Timon},
  title     = {Size dependent free flexural vibration behavior of functionally graded nanoplates},
  series = {Computational Materials Science},
  journal   = {Computational Materials Science},
  pages     = {74 -- 80},
  abstract  = {Size dependent free flexural vibration behavior of functionally graded nanoplates},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{NasserSchwedlerWuttkeetal.,
  author    = {Nasser, Mourad and Schwedler, Michael and Wuttke, Frank and K{\"o}nke, Carsten},
  title     = {Seismic analysis of structural response using simplified soil-structure interaction models},
  series = {Bauingenieur, D-A-CH-Mitteilungsblatt},
  journal   = {Bauingenieur, D-A-CH-Mitteilungsblatt},
  abstract  = {Seismic analysis of structural response using simplified soil-structure interaction models},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{NanthakumarLahmerZhuangetal.,
  author    = {Nanthakumar, S.S. and Lahmer, Tom and Zhuang, Xiaoying and Zi, Goangseup and Rabczuk, Timon},
  title     = {Detection of material interfaces using a regularized level set method in piezoelectric structures},
  series = {Inverse Problems in Science and Engineering},
  journal   = {Inverse Problems in Science and Engineering},
  pages     = {153 -- 176},
  abstract  = {Detection of material interfaces using a regularized level set method in piezoelectric structures},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{NanthakumarLahmerZhuangetal.,
  author    = {Nanthakumar, S.S. and Lahmer, Tom and Zhuang, Xiaoying and Zi, Goangseup and Rabczuk, Timon},
  title     = {Detection of material interfaces using a regularized level set method in piezoelectric structures},
  series = {Inverse Problems in Science and Engineering},
  journal   = {Inverse Problems in Science and Engineering},
  abstract  = {Detection of material interfaces using a regularized level set method in piezoelectric structures},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{NanthakumarLahmerZhuangetal.,
  author    = {Nanthakumar, S.S. and Lahmer, Tom and Zhuang, Xiaoying and Park, Harold S. and Rabczuk, Timon},
  title     = {Topology optimization of piezoelectric nanostructures},
  series = {Journal of the Mechanics and Physics of Solids},
  journal   = {Journal of the Mechanics and Physics of Solids},
  pages     = {316 -- 335},
  abstract  = {Topology optimization of piezoelectric nanostructures},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{NanthakumarLahmerRabczuk,
  author    = {Nanthakumar, S.S. and Lahmer, Tom and Rabczuk, Timon},
  title     = {Detection of flaws in piezoelectric structures using extended FEM},
  series = {International Journal for Numerical Methods in Engineering},
  journal   = {International Journal for Numerical Methods in Engineering},
  pages     = {373 -- 389},
  abstract  = {Detection of flaws in piezoelectric structures using extended FEM},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{NanthakumarLahmerRabczuk,
  author    = {Nanthakumar, S.S. and Lahmer, Tom and Rabczuk, Timon},
  title     = {Detection of multiple flaws in piezoelectric structures using XFEM and level sets},
  series = {International Journal for Numerical Methods in Engineering},
  journal   = {International Journal for Numerical Methods in Engineering},
  pages     = {960},
  abstract  = {Detection of multiple flaws in piezoelectric structures using XFEM and level sets},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{NanthakumarLahmerRabczuk,
  author    = {Nanthakumar, S.S. and Lahmer, Tom and Rabczuk, Timon},
  title     = {Detection of multiple flaws in piezoelectric structures using XFEM and level sets},
  series = {Computer Methods in Applied Mechanics and Engineering},
  journal   = {Computer Methods in Applied Mechanics and Engineering},
  pages     = {98 -- 112},
  abstract  = {Detection of multiple flaws in piezoelectric structures using XFEM and level sets},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{MsekhSargadoJamshidianetal.,
  author    = {Msekh, Mohammed Abdulrazzak and Sargado, M. and Jamshidian, M. and Areias, Pedro and Rabczuk, Timon},
  title     = {ABAQUS implementation of phase_field model for brittle fracture},
  series = {Computational Materials Science},
  journal   = {Computational Materials Science},
  pages     = {472 -- 484},
  abstract  = {ABAQUS implementation of phase_field model for brittle fracture},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{MostIshiiGengetal.,
  author    = {Most, Thomas and Ishii, H. and Geng, X. and Bolzern, P. and Colaneri, P. and De Nicolao, G.},
  title     = {Discussion on Almost sure stability of stochastic linear systems with ergodic parameters},
  series = {European Journal of Control},
  journal   = {European Journal of Control},
  pages     = {124 -- 130},
  abstract  = {Discussion on Almost sure stability of stochastic linear systems with ergodic parameters},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{MostBucherSchorling,
  author    = {Most, Thomas and Bucher, Christian and Schorling, York},
  title     = {Dynamic stability analysis of non-linear structures with geometrical imperfections under random loading},
  series = {Journal of Sound and Vibration},
  journal   = {Journal of Sound and Vibration},
  pages     = {381 -- 400},
  abstract  = {Dynamic stability analysis of non-linear structures with geometrical imperfections under random loading},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{MostBucher,
  author    = {Most, Thomas and Bucher, Christian},
  title     = {Energy-based simulation of concrete cracking using an improved mixed-mode cohesive crack model within a meshless discretization},
  series = {International Journal for Numerical and Analytical Methods in Geomechanics},
  journal   = {International Journal for Numerical and Analytical Methods in Geomechanics},
  pages     = {285 -- 305},
  abstract  = {Energy-based simulation of concrete cracking using an improved mixed-mode cohesive crack model within a meshless discretization},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{MostBucher,
  author    = {Most, Thomas and Bucher, Christian},
  title     = {New concepts for moving least squares: An interpolating non-singular weighting function and weighted nodal least squares},
  series = {Engineering Analysis with Boundary Elements},
  journal   = {Engineering Analysis with Boundary Elements},
  pages     = {461 -- 470},
  abstract  = {New concepts for moving least squares: An interpolating non-singular weighting function and weighted nodal least squares},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{MostBucher,
  author    = {Most, Thomas and Bucher, Christian},
  title     = {Probabilistic analysis of concrete cracking using neural networks and random fields},
  series = {Probabilistic Engineering Mechanics},
  journal   = {Probabilistic Engineering Mechanics},
  pages     = {219 -- 229},
  abstract  = {Probabilistic analysis of concrete cracking using neural networks and random fields},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{MostBucher,
  author    = {Most, Thomas and Bucher, Christian},
  title     = {Stochastic simulation of cracking in concrete structures using multi-parameter random fields},
  series = {International Journal of Reliability and Safety},
  journal   = {International Journal of Reliability and Safety},
  pages     = {168 -- 187},
  abstract  = {Stochastic simulation of cracking in concrete structures using multi-parameter random fields},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{MostBucher,
  author    = {Most, Thomas and Bucher, Christian},
  title     = {A moving least squares weighting function for the element-free Galerkin method which almost fulfills essential boundary conditions},
  series = {Structural Engineering and Mechanics},
  journal   = {Structural Engineering and Mechanics},
  pages     = {315 -- 332},
  abstract  = {A moving least squares weighting function for the element-free Galerkin method which almost fulfills essential boundary conditions},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{Most,
  author    = {Most, Thomas},
  title     = {A natural neighbour-based moving least-squares approach for the element-free Galerkin method},
  series = {International Journal for Numerical Methods in Engineering},
  journal   = {International Journal for Numerical Methods in Engineering},
  pages     = {224 -- 252},
  abstract  = {A natural neighbour-based moving least-squares approach for the element-free Galerkin method},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{MortazaviRabczuk,
  author    = {Mortazavi, Bohayra and Rabczuk, Timon},
  title     = {Multiscale modeling of heat conduction in graphene laminates},
  series = {Carbon},
  journal   = {Carbon},
  pages     = {1 -- 7},
  abstract  = {Multiscale modeling of heat conduction in graphene laminates},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{MortazaviCunibertiRabczuk,
  author    = {Mortazavi, Bohayra and Cuniberti, G. and Rabczuk, Timon},
  title     = {Mechanical properties and thermal conductivity of graphitic carbon nitride: A molecular dynamics study},
  series = {Computational Materials Science},
  journal   = {Computational Materials Science},
  pages     = {285 -- 289},
  abstract  = {Mechanical properties and thermal conductivity of graphitic carbon nitride: A molecular dynamics study},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{MarzbanLahmer,
  author    = {Marzban, Samira and Lahmer, Tom},
  title     = {Conceptual implementation of the variance-based sensitivity analysis for the calculation of the first-order effects},
  series = {Journal of Statistical Theory and Practice},
  journal   = {Journal of Statistical Theory and Practice},
  pages     = {589 -- 611},
  abstract  = {Conceptual implementation of the variance-based sensitivity analysis for the calculation of the first-order effects},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{MackeHiguchi,
  author    = {Macke, M. and Higuchi, Shoko},
  title     = {Optimizing maintenance interventions for deteriorating structures using cost-benefit criteria},
  series = {Journal of Structural Engineering},
  journal   = {Journal of Structural Engineering},
  pages     = {925 -- 934},
  abstract  = {Optimizing maintenance interventions for deteriorating structures using cost-benefit criteria},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{LuuMartinezRodrigoZabeletal.,
  author    = {Luu, M. and Martinez-Rodrigo, M.D. and Zabel, Volkmar and K{\"o}nke, Carsten},
  title     = {H∞ optimization of fluid viscous dampers for reducing vibrations of high-speed railway bridges},
  series = {Journal of Sound and Vibration},
  journal   = {Journal of Sound and Vibration},
  pages     = {2421 -- 2442},
  abstract  = {H∞ optimization of fluid viscous dampers for reducing vibrations of high-speed railway bridges},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{LutherKoenke,
  author    = {Luther, Torsten and K{\"o}nke, Carsten},
  title     = {Coupled cohesive zone representations from 3D quasicontinuum simulation on aluminum grain boundaries},
  series = {International Journal for Multiscale Computational Engineering},
  journal   = {International Journal for Multiscale Computational Engineering},
  abstract  = {Coupled cohesive zone representations from 3D quasicontinuum simulation on aluminum grain boundaries},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{LutherKoenke,
  author    = {Luther, Torsten and K{\"o}nke, Carsten},
  title     = {Polycrystal models for the analysis of intergranular crack growth in metallic materials},
  series = {Engineering Fracture Mechanics},
  journal   = {Engineering Fracture Mechanics},
  pages     = {2332 -- 2343},
  abstract  = {Polycrystal models for the analysis of intergranular crack growth in metallic materials},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{LeNguyenXuanAskesetal.,
  author    = {Le, C.V. and Nguyen-Xuan, Hung and Askes, H. and Rabczuk, Timon and Nguyen-Thoi, T.},
  title     = {Computation of limit load using edge-based smoothed finite element method and second-order cone programming},
  series = {International Journal of Computational Methods},
  journal   = {International Journal of Computational Methods},
  abstract  = {Computation of limit load using edge-based smoothed finite element method and second-order cone programming},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{LahmerNguyenTuanKoenkeetal.,
  author    = {Lahmer, Tom and Nguyen-Tuan, Long and K{\"o}nke, Carsten and Bettzieche, Volker},
  title     = {Thermo-hydro-mechanische 3-D-Simulation von Staumauern-Modellierung und Validierung},
  series = {WASSERWIRTSCHAFT},
  journal   = {WASSERWIRTSCHAFT},
  pages     = {27 -- 30},
  abstract  = {Thermo-hydro-mechanische 3-D-Simulation von Staumauern-Modellierung und Validierung},
  subject      = {Angewandte Mathematik},
  language  = {de}
}