@article{Zhang,
  author    = {Zhang, Yongzheng},
  title     = {Nonlocal dynamic Kirchhoff plate formulation based on nonlocal operator method},
  series = {Engineering with Computers},
  volume    = {2022},
  journal   = {Engineering with Computers},
  publisher = {Springer},
  address   = {London},
  doi       = {10.1007/s00366-021-01587-1},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20220209-45849},
  pages     = {1 -- 35},
  abstract  = {In this study, we propose a nonlocal operator method (NOM) for the dynamic analysis of (thin) Kirchhoff plates. The nonlocal Hessian operator is derived based on a second-order Taylor series expansion. The NOM does not require any shape functions and associated derivatives as 'classical' approaches such as FEM, drastically facilitating the implementation. Furthermore, NOM is higher order continuous, which is exploited for thin plate analysis that requires C1 continuity. The nonlocal dynamic governing formulation and operator energy functional for Kirchhoff plates are derived from a variational principle. The Verlet-velocity algorithm is used for the time discretization. After confirming the accuracy of the nonlocal Hessian operator, several numerical examples are simulated by the nonlocal dynamic Kirchhoff plate formulation.},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{LegatiukWeiszPatrault,
  author    = {Legatiuk, Dmitrii and Weisz-Patrault, Daniel},
  title     = {Coupling of Complex Function Theory and Finite Element Method for Crack Propagation Through Energetic Formulation: Conformal Mapping Approach and Reduction to a Riemann-Hilbert Problem},
  series = {Computational Methods and Function Theory},
  volume    = {2021},
  journal   = {Computational Methods and Function Theory},
  publisher = {Springer},
  address   = {Heidelberg},
  doi       = {10.1007/s40315-021-00403-7},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20210805-44763},
  pages     = {1 -- 23},
  abstract  = {In this paper we present a theoretical background for a coupled analytical-numerical approach to model a crack propagation process in two-dimensional bounded domains. The goal of the coupled analytical-numerical approach is to obtain the correct solution behaviour near the crack tip by help of the analytical solution constructed by using tools of complex function theory and couple it continuously with the finite element solution in the region far from the singularity. In this way, crack propagation could be modelled without using remeshing. Possible directions of crack growth can be calculated through the minimization of the total energy composed of the potential energy and the dissipated energy based on the energy release rate. Within this setting, an analytical solution of a mixed boundary value problem based on complex analysis and conformal mapping techniques is presented in a circular region containing an arbitrary crack path. More precisely, the linear elastic problem is transformed into a Riemann-Hilbert problem in the unit disk for holomorphic functions. Utilising advantages of the analytical solution in the region near the crack tip, the total energy could be evaluated within short computation times for various crack kink angles and lengths leading to a potentially efficient way of computing the minimization procedure. To this end, the paper presents a general strategy of the new coupled approach for crack propagation modelling. Additionally, we also discuss obstacles in the way of practical realisation of this strategy.},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{GuerlebeckLegatiukNilssonetal.,
  author    = {G{\"u}rlebeck, Klaus and Legatiuk, Dmitrii and Nilsson, Henrik and Smarsly, Kay},
  title     = {Conceptual modelling: Towards detecting modelling errors in engineering applications},
  series = {Mathematical Methods in Applied Sciences},
  journal   = {Mathematical Methods in Applied Sciences},
  doi       = {10.1002/mma.5934},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20200110-40614},
  pages     = {1 -- 10},
  abstract  = {Rapid advancements of modern technologies put high demands on mathematical modelling of engineering systems. Typically, systems are no longer "simple" objects, but rather coupled systems involving multiphysics phenomena, the modelling of which involves coupling of models that describe different phenomena. After constructing a mathematical model, it is essential to analyse the correctness of the coupled models and to detect modelling errors compromising the final modelling result. Broadly, there are two classes of modelling errors: (a) errors related to abstract modelling, eg, conceptual errors concerning the coherence of a model as a whole and (b) errors related to concrete modelling or instance modelling, eg, questions of approximation quality and implementation. Instance modelling errors, on the one hand, are relatively well understood. Abstract modelling errors, on the other, are not appropriately addressed by modern modelling methodologies. The aim of this paper is to initiate a discussion on abstract approaches and their usability for mathematical modelling of engineering systems with the goal of making it possible to catch conceptual modelling errors early and automatically by computer assistant tools. To that end, we argue that it is necessary to identify and employ suitable mathematical abstractions to capture an accurate conceptual description of the process of modelling engineering systems.},
  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{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{AchenbachLahmerMorgenthal,
  author    = {Achenbach, Marcus and Lahmer, Tom and Morgenthal, Guido},
  title     = {Global Sensitivity Analysis of Reinforced Concrete Walls Subjected to Standard Fire - A Comparison of Methods},
  series = {14th International Probabilistic Workshop},
  journal   = {14th International Probabilistic Workshop},
  pages     = {97 -- 106},
  abstract  = {Global Sensitivity Analysis of Reinforced Concrete Walls Subjected to Standard Fire—A Comparison of Methods},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{GoebelLahmerOsburg,
  author    = {G{\"o}bel, Luise and Lahmer, Tom and Osburg, Andrea},
  title     = {Uncertainty analysis in multiscale modeling of concrete based on continuum micromechanics},
  series = {European Journal of Mechanics-A/Solids},
  journal   = {European Journal of Mechanics-A/Solids},
  abstract  = {Uncertainty analysis in multiscale modeling of concrete based on continuum micromechanics},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{AlaladeNguyenTuanWuttkeetal.,
  author    = {Alalade, Muyiwa and Nguyen-Tuan, Long and Wuttke, Frank and Lahmer, Tom},
  title     = {Damage identification in gravity dams using dynamic coupled hydro-mechanical XFEM},
  series = {International Journal of Mechanics and Materials in Design},
  journal   = {International Journal of Mechanics and Materials in Design},
  doi       = {10.25643/bauhaus-universitaet.3596},
  pages     = {1 -- 19},
  abstract  = {Damage identification in gravity dams using dynamic coupled hydro-mechanical XFEM.},
  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{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{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{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{GhorashiLahmerBagherzadehetal.,
  author    = {Ghorashi, Seyed Shahram and Lahmer, Tom and Bagherzadeh, Amir Saboor and Zi, Goangseup and Rabczuk, Timon},
  title     = {A stochastic computational method based on goal-oriented error estimation for heterogeneous geological materials},
  series = {Engineering Geology},
  journal   = {Engineering Geology},
  abstract  = {A stochastic computational method based on goal-oriented error estimation for heterogeneous geological materials},
  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{LahmerBockHildebrandetal.,
  author    = {Lahmer, Tom and Bock, Sebastian and Hildebrand, J{\"o}rg and G{\"u}rlebeck, Klaus},
  title     = {Non-destructive identification of residual stresses in steel under thermal loadings},
  series = {Inverse Problems in Science and Engineering},
  journal   = {Inverse Problems in Science and Engineering},
  pages     = {1 -- 17},
  abstract  = {Non-destructive identification of residual stresses in steel under thermal loadings},
  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{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{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{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}
}
@article{LahmerIlgLerch,
  author    = {Lahmer, Tom and Ilg, J. and Lerch, Reinhard},
  title     = {Variance-based sensitivity analyses of piezoelectric models},
  series = {Computer Modeling in Engineering \& Sciences},
  journal   = {Computer Modeling in Engineering \& Sciences},
  pages     = {105 -- 126},
  abstract  = {Variance-based sensitivity analyses of piezoelectric models},
  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{BenZhaoZhangetal.,
  author    = {Ben, S. and Zhao, Jun-Hua and Zhang, Yancheng and Rabczuk, Timon},
  title     = {The interface strength and debonding for composite structures: review and recent developments},
  series = {Composite Structures},
  journal   = {Composite Structures},
  abstract  = {The interface strength and debonding for composite structures: review and recent developments},
  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{KumarSinghMishraetal.,
  author    = {Kumar, S. and Singh, I. and Mishra, B.K. and Rabczuk, Timon},
  title     = {Modeling and Simulation of Kinked Cracks by Virtual Node XFEM},
  series = {Computer Methods in Applied Mechanics and Engineering},
  journal   = {Computer Methods in Applied Mechanics and Engineering},
  pages     = {1425 -- 1466},
  abstract  = {Modeling and Simulation of Kinked Cracks by Virtual Node XFEM},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{JiangRabczukPark,
  author    = {Jiang, Jin-Wu and Rabczuk, Timon and Park, Harold S.},
  title     = {A Stillinger-Weber Potential for Single-Layer Black Phosphorus, and the Importance of Cross-Pucker Interactions for Negative Poisson's Ratio and Edge Stress-Induced Bending},
  series = {Nanoscale},
  journal   = {Nanoscale},
  doi       = {10.1039/C4NR07341J},
  abstract  = {The distinguishing structural feature of single-layered black phosphorus is its puckered structure, which leads to many novel physical properties. In this work, we first present a new parameterization of the Stillinger-Weber potential for single-layered black phosphorus. In doing so, we reveal the importance of a cross-pucker interaction term in capturing its unique mechanical properties, such as a negative Poisson's ratio. In particular, we show that the cross-pucker interaction enables the pucker to act as a re-entrant hinge, which expands in the lateral direction when it is stretched in the longitudinal direction. As a consequence, single-layered black phosphorus has a negative Poisson's ratio in the direction perpendicular to the atomic plane. As an additional demonstration of the impact of the cross-pucker interaction, we show that it is also the key factor that enables capturing the edge stress-induced bending of single-layered black phosphorus that has been reported in ab initio calculations.},
  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{GhasemiBrighentiZhuangetal.,
  author    = {Ghasemi, Hamid and Brighenti, Roberto and Zhuang, Xiaoying and Muthu, Jacob and Rabczuk, Timon},
  title     = {Optimum fiber content and distribution in fiber-reinforced solids using a reliability and NURBS based sequential optimization approach},
  series = {Structural and Multidisciplinary Optimization},
  journal   = {Structural and Multidisciplinary Optimization},
  pages     = {99 -- 112},
  abstract  = {Optimum _ber content and distribution in _ber-reinforced solids using a reliability and NURBS based sequential optimization approach},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{AreiasRabczukCesardeSaetal.,
  author    = {Areias, Pedro and Rabczuk, Timon and Cesar de Sa, J.M. and Jorge, R.N.},
  title     = {A semi-implicit _nite strain shell algorithm using in-plane strains based on least-squares},
  series = {Computational Mechanics},
  journal   = {Computational Mechanics},
  abstract  = {A semi-implicit _nite strain shell algorithm using in-plane strains based on least-squares},
  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{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{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{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{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{AnitescuJiaZhangetal.,
  author    = {Anitescu, Cosmin and Jia, Yue and Zhang, Yongjie and Rabczuk, Timon},
  title     = {An isogeometric collocation method using superconvergent points},
  series = {Computer Methods in Applied Mechanics and Engineer-ing},
  journal   = {Computer Methods in Applied Mechanics and Engineer-ing},
  pages     = {1073 -- 1097},
  abstract  = {An isogeometric collocation method using superconvergent points},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{AreiasRabczukCesardeSaetal.,
  author    = {Areias, Pedro and Rabczuk, Timon and Cesar de Sa, J.M. and Garcao, J.E.},
  title     = {Finite strain quadrilateral shell using least-squares _t of relative Lagrangian in-plane strains},
  series = {Finite Elements in Analysis and Design},
  journal   = {Finite Elements in Analysis and Design},
  pages     = {26 -- 40},
  abstract  = {Finite strain quadrilateral shell using least-squares _t of relative Lagrangian in-plane strains},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{GhasemiKerfridenBordasetal.,
  author    = {Ghasemi, Hamid and Kerfriden, Pierre and Bordas, St{\´e}phane Pierre Alain and Muthu, Jacob and Zi, Goangseup and Rabczuk, Timon},
  title     = {Interfacial shear stress optimization in sandwich beams with polymeric core using nonuniform distribution of reinforcing ingredients},
  series = {Composite Structures},
  journal   = {Composite Structures},
  pages     = {221 -- 230},
  abstract  = {Interfacial shear stress optimization in sandwich beams with polymeric core using nonuniform distribution of reinforcing ingredients},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{JiaZhangRabczuk,
  author    = {Jia, Yue and Zhang, Yongjie and Rabczuk, Timon},
  title     = {A Novel Dynamic Multilevel Technique for Image Registration},
  series = {Computers and Mathematics with Applications},
  journal   = {Computers and Mathematics with Applications},
  abstract  = {A Novel Dynamic Multilevel Technique for Image Registration},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{AreiasRabczukQueirosdeMeloetal.,
  author    = {Areias, Pedro and Rabczuk, Timon and Queiros de Melo, F. J. M. and Cesar de Sa, J.M.},
  title     = {Coulomb frictional contact by explicit projection in the cone for _nite displacement quasi-static problems},
  series = {Computational Mechanics},
  journal   = {Computational Mechanics},
  pages     = {57 -- 72},
  abstract  = {Coulomb frictional contact by explicit projection in the cone for _nite displacement quasi-static problems},
  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{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{BudarapuNarayanaRammohanetal.,
  author    = {Budarapu, Pattabhi Ramaiah and Narayana, T.S.S. and Rammohan, B. and Rabczuk, Timon},
  title     = {Directionality of sound radiation from rectangular panels},
  series = {Applied Acoustics},
  journal   = {Applied Acoustics},
  pages     = {128 -- 140},
  abstract  = {Directionality of sound radiation from rectangular panels},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{ArashRabczukJiang,
  author    = {Arash, Behrouz and Rabczuk, Timon and Jiang, Jin-Wu},
  title     = {Nanoresonators and their applications: a state of the art review},
  series = {Applied Physics Reviews},
  journal   = {Applied Physics Reviews},
  abstract  = {Nanoresonators and their applications: a state of the art review},
  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{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{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{HamdiaLahmerNguyenThoietal.,
  author    = {Hamdia, Khader and Lahmer, Tom and Nguyen-Thoi, T. and Rabczuk, Timon},
  title     = {Predicting The Fracture Toughness of PNCs: A Stochastic Approach Based on ANN and ANFIS},
  series = {Computational Materials Science},
  journal   = {Computational Materials Science},
  pages     = {304 -- 313},
  abstract  = {Predicting The Fracture Toughness of PNCs: A Stochastic Approach Based on ANN and ANFIS},
  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{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{GhorashiValizadehMohammadietal.,
  author    = {Ghorashi, Seyed Shahram and Valizadeh, Navid and Mohammadi, S. and Rabczuk, Timon},
  title     = {T-spline based XIGA for Fracture Analysis of Orthotropic Media},
  series = {Computers \& Structures},
  journal   = {Computers \& Structures},
  pages     = {138 -- 146},
  abstract  = {T-spline based XIGA for Fracture Analysis of Orthotropic Media},
  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}
}