@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{KerfridenGouryRabczuketal.,
  author    = {Kerfriden, Pierre and Goury, O. and Rabczuk, Timon and Bordas, St{\´e}phane Pierre Alain},
  title     = {A partitioned model order reduction approach to rationalise computational expenses in nonlinear fracture mechanics},
  series = {Computer Methods in Applied Mechanics and Engineering},
  journal   = {Computer Methods in Applied Mechanics and Engineering},
  pages     = {169 -- 188},
  abstract  = {A partitioned model order reduction approach to rationalise computational expenses in nonlinear fracture mechanics},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{VuBacNguyenXuanChenetal.,
  author    = {Vu-Bac, N. and Nguyen-Xuan, Hung and Chen, Lei and Lee, C.K. and Zi, Goangseup and Zhuang, Xiaoying and Liu, G.R. and Rabczuk, Timon},
  title     = {A phantom-node method with edge-based strain smoothing for linear elastic fracture mechanics},
  series = {Journal of Applied Mathematics},
  journal   = {Journal of Applied Mathematics},
  doi       = {10.1155/2013/978026},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20170426-31676},
  abstract  = {This paper presents a novel numerical procedure based on the combination of an edge-based smoothed finite element (ES-FEM) with a phantom-node method for 2D linear elastic fracture mechanics. In the standard phantom-node method, the cracks are formulated by adding phantom nodes, and the cracked element is replaced by two new superimposed elements. This approach is quite simple to implement into existing explicit finite element programs. The shape functions associated with discontinuous elements are similar to those of the standard finite elements, which leads to certain simplification with implementing in the existing codes. The phantom-node method allows modeling discontinuities at an arbitrary location in the mesh. The ES-FEM model owns a close-to-exact stiffness that is much softer than lower-order finite element methods (FEM). Taking advantage of both the ES-FEM and the phantom-node method, we introduce an edge-based strain smoothing technique for the phantom-node method. Numerical results show that the proposed method achieves high accuracy compared with the extended finite element method (XFEM) and other reference solutions.},
  subject      = {Finite-Elemente-Methode},
  language  = {en}
}
@article{JiangParkGalletal.,
  author    = {Jiang, Jin-Wu and Park, Harold S. and Gall, K. and Leach, A. and Rabczuk, Timon},
  title     = {A Surface Stacking Fault Energy Approach to Predicting Defect Nucleation in Surface-Dominated Nanostructures},
  series = {Journal of the Mechanics and Physics of Solids},
  journal   = {Journal of the Mechanics and Physics of Solids},
  abstract  = {A Surface Stacking Fault Energy Approach to Predicting Defect Nucleation in Surface-Dominated Nanostructures},
  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{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{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{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{AreiasRabczukDiasdaCosta,
  author    = {Areias, Pedro and Rabczuk, Timon and Dias-da-Costa, D.},
  title     = {Assumed-metric spherically-interpolated quadrilateral shell element},
  series = {Finite Elements in Analysis and Design},
  journal   = {Finite Elements in Analysis and Design},
  pages     = {53 -- 67},
  abstract  = {Assumed-metric spherically-interpolated quadrilateral shell element},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{AreiasRabczukDiasdaCosta,
  author    = {Areias, Pedro and Rabczuk, Timon and Dias-da-Costa, D.},
  title     = {Asymmetric Shell Elements Based on a Corrected Updated-Lagrangian Approach},
  series = {CMES: Computer Modeling in Engineering and Sciences},
  journal   = {CMES: Computer Modeling in Engineering and Sciences},
  abstract  = {Asymmetric Shell Elements Based on a Corrected Updated-Lagrangian Approach},
  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}
}
@inproceedings{TheilerKoenke,
  author    = {Theiler, Michael and K{\"o}nke, Carsten},
  title     = {Damping in Bolted Joints},
  series = {Proceedings of International Conference on Structural Engineering Dynamics (ICEDyn) 2013},
  booktitle = {Proceedings of International Conference on Structural Engineering Dynamics (ICEDyn) 2013},
  editor    = {Maia, Nuno},
  isbn      = {978-989-96276-4-2},
  doi       = {10.25643/bauhaus-universitaet.1970},
  url       = {http://nbn-resolving.de/urn:nbn:de:gbv:wim2-20130701-19709},
  pages     = {8},
  abstract  = {With the help of modern CAE-based simulation processes, it is possible to predict the dynamic behavior of fatigue strength problems in order to improve products of many industries, e.g. the building, the machine construction or the automotive industry. Amongst others, it can be used to improve the acoustic design of automobiles in an early development stage. Nowadays, the acoustics of automobiles plays a crucial role in the process of vehicle development. Because of the advanced demand of comfort and due to statutory rules the manufacturers are faced with the challenge of optimizing their car's sound emissions. The optimization includes not only the reduction of noises. Lately with the trend to hybrid and electric cars, it has been shown that vehicles can become too quiet. Thus, the prediction of structural and acoustic properties based on FE-simulations is becoming increasingly important before any experimental prototype is examined. With the state of the art, qualitative comparisons between different implementations are possible. However, an accurate and reliable quantitative prediction is still a challenge. One aspect in the context of increasing the prediction quality of acoustic (or general oscillating) problems - especially in power-trains of automobiles - is the more accurate implementation of damping in joint structures. While material damping occurs globally and homogenous in a structural system, the damping due to joints is a very local problem, since energy is especially dissipated in the vicinity of joints. This paper focusses on experimental and numerical studies performed on a single (extracted) screw connection. Starting with experimental studies that are used to identify the underlying physical model of the energy loss, the locally influencing parameters (e.g. the damping factor) should be identified. In contrast to similar research projects, the approach tends to a more local consideration within the joint interface. Tangential stiffness and energy loss within the interface are spatially distributed and interactions between the influencing parameters are regarded. As a result, the damping matrix is no longer proportional to mass or stiffness matrix, since it is composed of the global material damping and the local joint damping. With this new approach, the prediction quality can be increased, since the local distribution of the physical parameters within the joint interface corresponds much closer to the reality.},
  subject      = {Damping},
  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{KhosravaniRabczuk,
  author    = {Khosravani, M.R. and Rabczuk, Timon},
  title     = {Determiniation of shear modulus for double and multi-walled Carbon Nanotubes},
  series = {Mechanics of Composite Materials},
  journal   = {Mechanics of Composite Materials},
  abstract  = {Determiniation of shear modulus for double and multi-walled Carbon Nanotubes},
  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{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{AreiasRabczuk,
  author    = {Areias, Pedro and Rabczuk, Timon},
  title     = {Finite strain fracture of plates and shells with configurational forces and edge rotation},
  series = {International Journal for Numerical Methods in Engineering},
  journal   = {International Journal for Numerical Methods in Engineering},
  abstract  = {Finite strain fracture of plates and shells with configurational forces and edge rotation},
  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{KnabeDatchevaLahmeretal.,
  author    = {Knabe, Tina and Datcheva, Maria and Lahmer, Tom and Cotecchia, F. and Schanz, Tom},
  title     = {Identification of constitutive parameters of soil using an optimization strategy and statistical analysis},
  series = {Computers and Geotechnics},
  journal   = {Computers and Geotechnics},
  pages     = {143 -- 157},
  abstract  = {Identification of constitutive parameters of soil using an optimization strategy and statistical analysis},
  subject      = {Angewandte Mathematik},
  language  = {en}
}
@article{JiangRabczuk,
  author    = {Jiang, Jin-Wu and Rabczuk, Timon},
  title     = {Mechanical Oscillation of Kinked Silicon Nanowires: a Natural Nanoscale Spring},
  series = {Applied Physics Letters},
  journal   = {Applied Physics Letters},
  abstract  = {Mechanical Oscillation of Kinked Silicon Nanowires: a Natural Nanoscale Spring},
  subject      = {Angewandte Mathematik},
  language  = {en}
}