TY  - JOUR
A1  - Zhuang, Xiaoying
A1  - Huang, Runqiu
A1  - Rabczuk, Timon
A1  - Liang, C.
T1  - A coupled thermo-hydro-mechanical model of jointed hard rock for compressed air energy storage
JF  - Mathematical Problems in Engineering
N2  - A coupled thermo-hydro-mechanical model of jointed hard rock for compressed air energy storage
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2014
ER  - 
TY  - JOUR
A1  - Zhao, Jun-Hua
A1  - Wei, Ning
A1  - Fan, Z.
A1  - Jiang, Jin-Wu
A1  - Rabczuk, Timon
T1  - Mechanical properties of three types of carbon allotropes
JF  - Nanotechnology
N2  - Mechanical properties of three types of carbon allotropes
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2013
ER  - 
TY  - JOUR
A1  - Zhao, Jun-Hua
A1  - Wang, L.
A1  - Jiang, Jin-Wu
A1  - Wang, Z.
A1  - Guo, Wanlin
A1  - Rabczuk, Timon
T1  - A comparative study of two molecular mechanics models based on harmonic potentials
JF  - Journal of Applied Physics
N2  - A comparative study of two molecular mechanics models based on harmonic potentials
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2013
ER  - 
TY  - JOUR
A1  - Zhao, Jun-Hua
A1  - Lu, Lixin
A1  - Zhang, Zhiliang
A1  - Guo, Wanlin
A1  - Rabczuk, Timon
T1  - Continuum modeling of the cohesive energy for the interfaces between _lms, spheres, coats and substrates
JF  - Computational Materials Science
N2  - Continuum modeling of the cohesive energy for the interfaces between _lms, spheres, coats and substrates
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2015
SP  - 432
EP  - 438
ER  - 
TY  - JOUR
A1  - Zhao, Jun-Hua
A1  - Lu, Lixin
A1  - Rabczuk, Timon
T1  - Binding energy and mechanical stability of single- and multi-walled carbon nanotube serpentines
JF  - The Journal of Chemical Physics
N2  - Binding energy and mechanical stability of single- and multi-walled carbon nanotube serpentines
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2014
U6  - http://dx.doi.org/10.1063/1.4878115
ER  - 
TY  - JOUR
A1  - Zhao, Jun-Hua
A1  - Kou, Liangzhi
A1  - Jiang, Jin-Wu
A1  - Rabczuk, Timon
T1  - Tension-induced phase transition of single-layer molybdenum disulphide (MoS2) at low temperatures
JF  - Nanotechnology
N2  - Tension-induced phase transition of single-layer molybdenum disulphide (MoS2) at low temperatures
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2014
U6  - http://dx.doi.org/10.1088/0957-4484/25/29/295701
ER  - 
TY  - JOUR
A1  - Zhao, Jun-Hua
A1  - Jiang, Jin-Wu
A1  - Jia, Yue
A1  - Guo, Wanlin
A1  - Rabczuk, Timon
T1  - A theoretical analysis of cohesive energy between carbon nanotubes, graphene and substrates
JF  - Carbon
N2  - 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.
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2014
U6  - http://dx.doi.org/10.1016/j.carbon.2013.01.041
SP  - 108
EP  - 119
ER  - 
TY  - JOUR
A1  - Zhao, Jun-Hua
A1  - Jia, Yue
A1  - Wei, Ning
A1  - Rabczuk, Timon
T1  - Binding energy and mechanical stability of two parallel and crossing carbon nanotubes
JF  - Journal of Applied Mechanics
N2  - Binding energy and mechanical stability of two parallel and crossing carbon nanotubes
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2015
ER  - 
TY  - JOUR
A1  - Zhao, Jun-Hua
A1  - Guo, Wanlin
A1  - Rabczuk, Timon
T1  - An analytical molecular mechanics model for the elastic properties of crystalline polyethylene
JF  - Journal of Applied Physics
N2  - 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.
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2012
U6  - http://dx.doi.org/10.1063/1.4745035
ER  - 
TY  - JOUR
A1  - Zhao, Jiyun
A1  - Lu, Lixin
A1  - Rabczuk, Timon
T1  - The tensile and shear failure behavior dependence on chain length and temperature in amorphous polymers
JF  - Computational Materials Science
N2  - The tensile and shear failure behavior dependence on chain length and temperature in amorphous polymers
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2015
SP  - 567
EP  - 572
ER  - 
TY  - JOUR
A1  - Zhao, Jiyun
A1  - Jiang, Jin-Wu
A1  - Wang, L.
A1  - Guo, Wanlin
A1  - Rabczuk, Timon
T1  - Coarse-grained potentials of single-walled carbon nanotubes
JF  - Journal of the Mechanics and Physics of Solids
N2  - Coarse-grained potentials of single-walled carbon nanotubes
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2014
ER  - 
TY  - JOUR
A1  - Zhang, Yongzheng
A1  - Ren, Huilong
T1  - Implicit implementation of the nonlocal operator method: an open source code
JF  - Engineering with computers
N2  - 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.
KW  - Strukturmechanik
KW  - Nonlocal operator method
KW  - Operator energy functional
KW  - Implicit
KW  - Dual-support
KW  - Variational principle
KW  - Taylor series expansion
KW  - Stiffness matrix
Y1  - 2022
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:gbv:wim2-20220216-45930
UR  - https://link.springer.com/article/10.1007/s00366-021-01537-x
VL  - 2022
SP  - 1
EP  - 35
PB  - Springer
CY  - London
ER  - 
TY  - JOUR
A1  - Zhang, Yancheng
A1  - Zhuang, Xiaoying
A1  - Muthu, Jacob
A1  - Mabrouki, Tarek
A1  - Fontaine, Michaël
A1  - Gong, Yadong
A1  - Rabczuk, Timon
T1  - Load transfer of graphene/carbon nanotube/polyethylene hybrid nanocomposite by molecular dynamics simulation
JF  - Composites Part B Engineering
N2  - Load transfer of graphene/carbon nanotube/polyethylene hybrid nanocomposite by molecular dynamics simulation
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2014
SP  - 27
EP  - 33
ER  - 
TY  - JOUR
A1  - Zhang, Yancheng
A1  - Zhao, Jun-Hua
A1  - Jia, Yue
A1  - Mabrouki, Tarek
A1  - Gong, Yadong
A1  - Wei, Ning
A1  - Rabczuk, Timon
T1  - An analytical solution on the interface debonding for large diameter carbon nanotube-reinforced composite with functionally graded variation interphase
JF  - Composite Structures
N2  - An analytical solution on the interface debonding for large diameter carbon nanotube-reinforced composite with functionally graded variation interphase
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2013
SP  - 261
EP  - 269
ER  - 
TY  - JOUR
A1  - Zhang, Yancheng
A1  - Zhao, Jiyun
A1  - Wei, Ning
A1  - Jiang, Jin-Wu
A1  - Rabczuk, Timon
T1  - Effects of the dispersion of polymer wrapped two neighbouring single walled carbon nanotubes (SWNTs) on nanoengineering load transfer
JF  - Composites Part B: Engineering
N2  - Effects of the dispersion of polymer wrapped two neighbouring single walled carbon nanotubes (SWNTs) on nanoengineering load transfer
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2013
SP  - 1714
EP  - 1721
ER  - 
TY  - JOUR
A1  - Zhang, Yancheng
A1  - Wei, Ning
A1  - Zhao, Jun-Hua
A1  - Gong, Yadong
A1  - Rabczuk, Timon
T1  - Quasi-analytical solution for the stable system of the multi-layer folded graphene wrinkles
JF  - Journal of Applied Physics
N2  - Quasi-analytical solution for the stable system of the multi-layer folded graphene wrinkles
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2013
ER  - 
TY  - JOUR
A1  - Zhang, Chao
A1  - Wang, Cuixia
A1  - Lahmer, Tom
A1  - He, Pengfei
A1  - Rabczuk, Timon
T1  - A dynamic XFEM formulation for crack identification
JF  - International Journal of Mechanics and Materials in Design
N2  - A dynamic XFEM formulation for crack identification
KW  - Angewandte Mathematik
KW  - Stochastik
KW  - Strukturmechanik
Y1  - 2016
SP  - 427
EP  - 448
ER  - 
TY  - JOUR
A1  - Zhang, Chao
A1  - Nanthakumar, S.S.
A1  - Lahmer, Tom
A1  - Rabczuk, Timon
T1  - Multiple cracks identification for piezoelectric structures
JF  - International Journal of Fracture
N2  - Multiple cracks identification for piezoelectric structures
KW  - Angewandte Mathematik
KW  - Stochastik
KW  - Strukturmechanik
Y1  - 2017
SP  - 1
EP  - 19
ER  - 
TY  - JOUR
A1  - Zerbst, U.
A1  - Vormwald, Michael
A1  - Andersch, C.
A1  - Mädler, K.
A1  - Pfuff, M.
T1  - The development of a damage tolerance concept for railway components and its demonstration for a railway axle
JF  - Engineering Fracture Mechanics
N2  - The development of a damage tolerance concept for railway components and its demonstration for a railway axle
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2005
SP  - 209
EP  - 239
ER  - 
TY  - JOUR
A1  - Zabel, Volkmar
A1  - Brehm, Maik
T1  - Das dynamische Verhalten von Eisenbahnbrücken mit kurzer Spannweite - numerische und experimentelle Untersuchungen
JF  - Bauingenieur, D-A-CH-Mitteilungsblatt
N2  - Das dynamische Verhalten von Eisenbahnbrücken mit kurzer Spannweite - numerische und experimentelle Untersuchungen
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2008
ER  - 
TY  - JOUR
A1  - Zabel, Volkmar
T1  - An application of discrete wavelet analysis and connection coefficients to parametric system identification
JF  - Structural Health Monitoring
N2  - An application of discrete wavelet analysis and connection coefficients to parametric system identification
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2005
SP  - 5
EP  - 18
ER  - 
TY  - JOUR
A1  - Yang, Shih-Wei
A1  - Budarapu, Pattabhi Ramaiah
A1  - Mahapatra, D.R.
A1  - Bordas, Stéphane Pierre Alain
A1  - Zi, Goangseup
A1  - Rabczuk, Timon
T1  - A Meshless Adaptive Multiscale Method for Fracture
JF  - Computational Materials Science
N2  - A Meshless Adaptive Multiscale Method for Fracture
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2015
SP  - 382
EP  - 395
ER  - 
TY  - JOUR
A1  - Xu, G.
A1  - Mourrain, B.
A1  - Galligo, A.
A1  - Rabczuk, Timon
T1  - High-quality construction of analysis-suitable trivariate NURBS solids by reparameterization methods
JF  - Computational Mechanics
N2  - High-quality construction of analysis-suitable trivariate NURBS solids by reparameterization methods
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2014
ER  - 
TY  - JOUR
A1  - Vu-Bac, N.
A1  - Silani, Mohammad
A1  - Lahmer, Tom
A1  - Zhuang, Xiaoying
A1  - Rabczuk, Timon
T1  - A unified framework for stochastic predictions of Young's modulus of clay/epoxy nanocomposites (PCNs)
JF  - Computational Materials Science
N2  - A unified framework for stochastic predictions of Young's modulus of clay/epoxy nanocomposites (PCNs)
KW  - Angewandte Mathematik
KW  - Stochastik
KW  - Strukturmechanik
Y1  - 2015
SP  - 520
EP  - 535
ER  - 
TY  - JOUR
A1  - Vu-Bac, N.
A1  - Rafiee, Roham
A1  - Zhuang, Xiaoying
A1  - Lahmer, Tom
A1  - Rabczuk, Timon
T1  - Uncertainty quantification for multiscale modeling of polymer nanocomposites with correlated parameters
JF  - Composites Part B: Engineering
N2  - Uncertainty quantification for multiscale modeling of polymer nanocomposites with correlated parameters
KW  - Angewandte Mathematik
KW  - Stochastik
KW  - Strukturmechanik
Y1  - 2015
SP  - 446
EP  - 464
ER  - 
TY  - JOUR
A1  - Vu-Bac, N.
A1  - Lahmer, Tom
A1  - Zhuang, Xiaoying
A1  - Nguyen-Thoi, T.
A1  - Rabczuk, Timon
T1  - A software framework for probabilistic sensitivity analysis for computationally expensive models
JF  - Advances in Engineering Software
N2  - A software framework for probabilistic sensitivity analysis for computationally expensive models
KW  - Angewandte Mathematik
KW  - Stochastik
KW  - Strukturmechanik
Y1  - 2016
SP  - 19
EP  - 31
ER  - 
TY  - JOUR
A1  - Vu-Bac, N.
A1  - Lahmer, Tom
A1  - Zhang, Yancheng
A1  - Zhuang, Xiaoying
A1  - Rabczuk, Timon
T1  - Stochastic predictions of interfacial characteristic of polymeric nanocomposites (PNCs)
JF  - Composites Part B Engineering
N2  - Stochastic predictions of interfacial characteristic of polymeric nanocomposites (PNCs)
KW  - Angewandte Mathematik
KW  - Stochastik
KW  - Strukturmechanik
Y1  - 2014
SP  - 80
EP  - 95
ER  - 
TY  - JOUR
A1  - Vu-Bac, N.
A1  - Lahmer, Tom
A1  - Keitel, Holger
A1  - Zhao, Jun-Hua
A1  - Zhuang, Xiaoying
A1  - Rabczuk, Timon
T1  - Stochastic predictions of bulk properties of amorphous polyethylene based on molecular dynamics simulations
JF  - Mechanics of Materials
N2  - Stochastic predictions of bulk properties of amorphous polyethylene based on molecular dynamics simulations
KW  - Angewandte Mathematik
KW  - Stochastik
KW  - Strukturmechanik
Y1  - 2014
SP  - 70
EP  - 84
ER  - 
TY  - JOUR
A1  - Valizadeh, Navid
A1  - Natarajan, S.
A1  - Gonzalez-Estrada, O.A.
A1  - Rabczuk, Timon
A1  - Tinh Quoc, Bui
A1  - Bordas, Stéphane Pierre Alain
T1  - NURBS-based finite element analysis of functionally graded plates: static bending, vibration, buckling and flutter
JF  - Composite Structures
N2  - NURBS-based finite element analysis of functionally graded plates: static bending, vibration, buckling and flutter
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2013
SP  - 309
EP  - 326
ER  - 
TY  - JOUR
A1  - Unger, Jörg F.
A1  - Teughels, A.
A1  - De Roeck, G.
T1  - Damage detection of a prestressed concrete beam using modal strains
JF  - Journal of Structural Engineering
N2  - Damage detection of a prestressed concrete beam using modal strains
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2005
SP  - 1456
EP  - 1463
ER  - 
TY  - JOUR
A1  - Unger, Jörg F.
A1  - Teughels, A.
A1  - De Roeck, G.
T1  - System identification and damage detection of a prestressed concrete beam
JF  - Journal of Structural Engineering
N2  - System identification and damage detection of a prestressed concrete beam
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2006
SP  - 1691
EP  - 1698
ER  - 
TY  - JOUR
A1  - Unger, Jörg F.
A1  - Könke, Carsten
T1  - Coupling of scales in a multiscale simulation using neural networks
JF  - Computers & Structures
N2  - Coupling of scales in a multiscale simulation using neural networks
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2008
ER  - 
TY  - JOUR
A1  - Unger, Jörg F.
A1  - Eckardt, Stefan
A1  - Könke, Carsten
T1  - Modelling of cohesive crack growth in concrete structures with the extended finite element method
JF  - Computer Methods in Applied Mechanics and Engineering
N2  - Modelling of cohesive crack growth in concrete structures with the extended finite element method
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2007
SP  - 4087
EP  - 4100
ER  - 
TY  - JOUR
A1  - Thumser, Rayk
A1  - Bergmann, Joachim W.
A1  - Vormwald, Michael
T1  - Residual stress fields and fatigue analysis of autofrettaged parts
JF  - International Journal of Pressure Vessels and Piping
N2  - Residual stress fields and fatigue analysis of autofrettaged parts
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2002
SP  - 113
EP  - 117
ER  - 
TY  - JOUR
A1  - Thai, Chien H.
A1  - Nguyen-Xuan, Hung
A1  - Nguyen-Thanh, Nhon
A1  - Le, T.H.
A1  - Nguyen-Thoi, T.
A1  - Rabczuk, Timon
T1  - Static, free vibration and buckling analysis of laminated composite Reissner-Mindlin plates using NURBS-based isogeometric approach
JF  - International Journal for Numerical Methods in Engineering
N2  - 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.
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2012
U6  - http://dx.doi.org/10.1002/nme.4282
SP  - 571
EP  - 603
ER  - 
TY  - JOUR
A1  - Thai, Chien H.
A1  - Nguyen-Xuan, Hung
A1  - Bordas, Stéphane Pierre Alain
A1  - Nguyen-Thanh, Nhon
A1  - Rabczuk, Timon
T1  - Isogeometric analysis of laminated composite plates using the higher-order shear deformation theory
JF  - Mechanics of Advanced Materials and Structures
N2  - Isogeometric analysis of laminated composite plates using the higher-order shear deformation theory
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2015
SP  - 451
EP  - 469
ER  - 
TY  - JOUR
A1  - Thai, Chien H.
A1  - Ferreira, A.J.M.
A1  - Bordas, Stéphane Pierre Alain
A1  - Rabczuk, Timon
A1  - Nguyen-Xuan, Hung
T1  - Isogeometric analysis of laminated composite and sandwich plates using a new inverse trigonometric shear deformation theory
JF  - European Journal of Mechanics
N2  - Isogeometric analysis of laminated composite and sandwich plates using a new inverse trigonometric shear deformation theory
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2014
SP  - 89
EP  - 108
ER  - 
TY  - JOUR
A1  - Talebi, Hossein
A1  - Zi, Goangseup
A1  - Silani, Mohammad
A1  - Samaniego, Esteban
A1  - Rabczuk, Timon
T1  - A simple circular cell method for multilevel finite element analysis
JF  - Journal of Applied Mathematics
N2  - 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.
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2012
U6  - http://dx.doi.org/10.1155/2012/526846
ER  - 
TY  - JOUR
A1  - Talebi, Hossein
A1  - Silani, Mohammad
A1  - Rabczuk, Timon
T1  - Concurrent Multiscale Modelling of Three Dimensional Crack and Dislocation Propagation
JF  - Advances in Engineering Software
N2  - Concurrent Multiscale Modelling of Three Dimensional Crack and Dislocation Propagation
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2015
SP  - 82
EP  - 92
ER  - 
TY  - JOUR
A1  - Talebi, Hossein
A1  - Silani, Mohammad
A1  - Bordas, Stéphane Pierre Alain
A1  - Kerfriden, Pierre
A1  - Rabczuk, Timon
T1  - Molecular Dynamics/XFEM Coupling by a Three-Dimensional Extended Bridging Domain with Applications to Dynamic Brittle Fracture
JF  - International Journal for Multiscale Computational Engineering
N2  - Molecular Dynamics/XFEM Coupling by a Three-Dimensional Extended Bridging Domain with Applications to Dynamic Brittle Fracture
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2013
ER  - 
TY  - JOUR
A1  - Talebi, Hossein
A1  - Silani, Mohammad
A1  - Bordas, Stéphane Pierre Alain
A1  - Kerfriden, Pierre
A1  - Rabczuk, Timon
T1  - A computational library for multiscale modeling of material failure
JF  - Computational Mechanics
N2  - A computational library for multiscale modeling of material failure
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2014
ER  - 
TY  - JOUR
A1  - Talebi, Hossein
A1  - Samaniego, C.
A1  - Samaniego, Esteban
A1  - Rabczuk, Timon
T1  - On the numerical stability and mass-lumping schemes for explicit enriched meshfree methods
JF  - International Journal for Numerical Methods in Engineering
N2  - 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.
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2012
U6  - http://dx.doi.org/10.1002/nme.3275
SP  - 1009
EP  - 1027
ER  - 
TY  - JOUR
A1  - Stein, Peter
A1  - Lahmer, Tom
A1  - Bock, Sebastian
T1  - Synthese und Analyse von gekoppelten Modellen im konstruktiven Ingenieurbau
BT  - Sonderdruck‐DFG Graduiertenkolleg
JF  - Bautechnik
N2  - Synthese und Analyse von gekoppelten Modellen im konstruktiven Ingenieurbau
KW  - Angewandte Mathematik
KW  - Stochastik
KW  - Strukturmechanik
Y1  - 2011
SP  - 8
EP  - 11
ER  - 
TY  - JOUR
A1  - Simpson, R.
A1  - Bordas, Stéphane Pierre Alain
A1  - Trevelyan, J.
A1  - Kerfriden, Pierre
A1  - Rabczuk, Timon
T1  - An Isogeometric Boundary Element Method for elastostatic analysis
JF  - Computer Methods in Applied Mechanics and Engineering
N2  - 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.
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2012
U6  - http://dx.doi.org/10.1016/j.cma.2011.08.008
ER  - 
TY  - JOUR
A1  - Silani, Mohammad
A1  - Ziaei-Rad, S.
A1  - Talebi, Hossein
A1  - Rabczuk, Timon
T1  - A Semi-Concurrent Multiscale Approach for Modeling Damage in Nanocomposites
JF  - Theoretical and Applied Fracture Mechanics
N2  - A Semi-Concurrent Multiscale Approach for Modeling Damage in Nanocomposites
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2014
ER  - 
TY  - JOUR
A1  - Silani, Mohammad
A1  - Talebi, Hossein
A1  - Ziaei-Rad, S.
A1  - Hamouda, A.M.S.
A1  - Zi, Goangseup
A1  - Rabczuk, Timon
T1  - A three dimensional Extended Arlequin Method for Dynamic Fracture
JF  - Computational Materials Science
N2  - A three dimensional Extended Arlequin Method for Dynamic Fracture
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2015
SP  - 425
EP  - 431
ER  - 
TY  - JOUR
A1  - Silani, Mohammad
A1  - Talebi, Hossein
A1  - Arnold, Daniel
A1  - Ziaei-Rad, S.
A1  - Rabczuk, Timon
T1  - On the coupling of a commercial finite element package with lammps for multiscale modeling of materials
JF  - Steel Research International
N2  - On the coupling of a commercial finite element package with lammps for multiscale modeling of materials
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2013
ER  - 
TY  - JOUR
A1  - Schrader, Kai
A1  - Könke, Carsten
T1  - Distributed computing for the nonlinear analysis of multiphase composites
JF  - Advances in Engineering Software
N2  - Distributed computing for the nonlinear analysis of multiphase composites
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2013
SP  - 20
EP  - 32
ER  - 
TY  - JOUR
A1  - Schrader, Kai
A1  - Könke, Carsten
T1  - Hybrid computing models for large-scale heterogeneous 3d microstructures
JF  - International Journal for Multiscale Computational Engineering
N2  - Hybrid computing models for large-scale heterogeneous 3d microstructures
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2011
SP  - 365
EP  - 377
ER  - 
TY  - JOUR
A1  - Savaidis, G.
A1  - Vormwald, Michael
T1  - Hot-spot stress evaluation of fatigue in welded structural connections supported by finite element analysis
JF  - International Journal of Fatigue
N2  - Hot-spot stress evaluation of fatigue in welded structural connections supported by finite element analysis
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2000
SP  - 85
EP  - 91
ER  -