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 - 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 - Bucher, Christian A1 - Pham, Hoang Anh T1 - On model updating of existing structures utilizing measured dynamic responses JF - Structure and Infrastructure Engineering N2 - On model updating of existing structures utilizing measured dynamic responses KW - Angewandte Mathematik KW - Strukturmechanik Y1 - 2005 SP - 135 EP - 143 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 - Bruhin, R. A1 - Stock, U.A. A1 - Drücker, J.-P. A1 - Azhari, T. A1 - Wippermann, J. A1 - Albes, J.M. A1 - Hintze, D. A1 - Eckardt, Stefan A1 - Könke, Carsten A1 - Wahlers, T. T1 - Numerical simulation techniques to study the structural response of the human chest following median sternotomy JF - The Annals of Thoracic Surgery N2 - Numerical simulation techniques to study the structural response of the human chest following median sternotomy KW - Angewandte Mathematik KW - Strukturmechanik Y1 - 2005 SP - 623 EP - 630 ER - TY - THES A1 - Itam, Zarina T1 - Numerical Simulation of Thermo-Chemo-Hygro-Mechanical Alkali-Silica Reaction Model in Concrete at the Mesoscale and Macroscale N2 - Alkali-silica reaction causes major problems in concrete structures due to the rapidity of its deformation which leads to the serviceability limit of the structure being reached well before its time. Factors that affect ASR vary greatly, including alkali and silica content, relative humidity, temperature and porosity of the cementitious matrix,all these making it a very complex phenomenon to consider explicitly. With this in mind, the finite element technique was used to build models and generate expansive pressures and damage propagation due to ASR under the influence of thermo-hygrochemoelastic loading. Since ASR initializes in the mesoscopic regions of the concrete, the accumulative effects of its expansion escalates onto the macroscale level with the development of web cracking on the concrete surface, hence solution of the damage model as well as simulation of the ASR phenomenon at both the macroscale and mesoscale levels have been performed. The macroscale model realizes the effects of ASR expansion as a whole and shows how it develops under the influence of moisture, thermal and mechanical loading. Results of the macroscale modeling are smeared throughout the structure and are sufficient to show how damage due to ASR expansion orientates. As opposed to the mesoscale model, the heterogeneity of the model shows us how difference in material properties between aggregates and the cementitious matrix facilitates ASR expansion. With both these models, the ASR phenomenon under influence of thermo-chemo-hygro-mechanical loading can be better understood. T3 - ISM-Bericht // Institut für Strukturmechanik, Bauhaus-Universität Weimar - 2014,2 KW - Strukturmechanik KW - Alkali-silica reaction KW - macroscale KW - mesoscale KW - ASR Y1 - 2014 U6 - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:gbv:wim2-20141218-23352 ER - TY - JOUR A1 - Kirichuk, A. A1 - Most, Thomas A1 - Bucher, Christian T1 - Numerical nonlinear analysis of kinematically excited shells JF - International Journal for Computational Civil and Structural Engineering N2 - Numerical nonlinear analysis of kinematically excited shells KW - Angewandte Mathematik KW - Strukturmechanik Y1 - 2003 SP - 61 EP - 74 ER - TY - JOUR A1 - Nguyen-Tuan, Long A1 - Könke, Carsten A1 - Bettzieche, Volker A1 - Lahmer, Tom T1 - Numerical modeling and validation for 3D coupled-nonlinear thermo-hydro-mechanical problems in masonry dams JF - Computers & Structures N2 - Numerical modeling and validation for 3D coupled-nonlinear thermo-hydro-mechanical problems in masonry dams KW - Angewandte Mathematik KW - Stochastik KW - Strukturmechanik Y1 - 2017 SP - 143 EP - 154 ER - TY - JOUR A1 - Lahmer, Tom A1 - Bock, Sebastian A1 - Hildebrand, Jörg A1 - Gürlebeck, Klaus T1 - Non-destructive identification of residual stresses in steel under thermal loadings JF - Inverse Problems in Science and Engineering N2 - Non-destructive identification of residual stresses in steel under thermal loadings KW - Angewandte Mathematik KW - Stochastik KW - Strukturmechanik Y1 - 2016 SP - 1 EP - 17 ER - TY - JOUR A1 - Bucher, Christian A1 - Ebert, Matthias T1 - Nichtlineare Berechnung von Stahlflanschverbindungen mit gemessenen Imperfektionen JF - Stahlbau N2 - Nichtlineare Berechnung von Stahlflanschverbindungen mit gemessenen Imperfektionen KW - Angewandte Mathematik KW - Strukturmechanik Y1 - 2002 SP - 516 EP - 522 ER - TY - JOUR A1 - Most, Thomas A1 - Bucher, Christian T1 - New concepts for moving least squares: An interpolating non-singular weighting function and weighted nodal least squares JF - Engineering Analysis with Boundary Elements N2 - New concepts for moving least squares: An interpolating non-singular weighting function and weighted nodal least squares KW - Angewandte Mathematik KW - Strukturmechanik Y1 - 2008 SP - 461 EP - 470 ER - TY - JOUR A1 - Arash, Behrouz A1 - Rabczuk, Timon A1 - Jiang, Jin-Wu T1 - Nanoresonators and their applications: a state of the art review JF - Applied Physics Reviews N2 - Nanoresonators and their applications: a state of the art review KW - Angewandte Mathematik KW - Strukturmechanik Y1 - 2015 ER - TY - JOUR A1 - Könke, Carsten A1 - Eckardt, Stefan A1 - Häfner, Stefan A1 - Luther, Torsten A1 - Unger, Jörg F. T1 - Multiscale simulation methods in damage prediction of brittle and ductile materials JF - International Journal for Multiscale Computational Engineering N2 - Multiscale simulation methods in damage prediction of brittle and ductile materials KW - Angewandte Mathematik KW - Strukturmechanik Y1 - 2010 SP - 17 EP - 36 ER - TY - JOUR A1 - Mortazavi, Bohayra A1 - Rabczuk, Timon T1 - Multiscale modeling of heat conduction in graphene laminates JF - Carbon N2 - Multiscale modeling of heat conduction in graphene laminates KW - Angewandte Mathematik KW - Strukturmechanik Y1 - 2015 SP - 1 EP - 7 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 - Jiang, Jin-Wu A1 - Park, Harold S. A1 - Rabczuk, Timon T1 - MoS2 nanoresonators: intrinsically better than graphene? JF - Nanoscale N2 - MoS2 nanoresonators: intrinsically better than graphene? KW - Angewandte Mathematik KW - Strukturmechanik Y1 - 2014 SP - 3618 EP - 3625 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 - Jiang, Jin-Wu A1 - Rabczuk, Timon T1 - Modulation of Thermal Conductivity in kinked Silicon Nanowires: Phonon interchanging and pinching effects or Reduction of thermal conductivity in kinked silicon nanowire superlattices JF - Nano Letters N2 - Modulation of Thermal Conductivity in kinked Silicon Nanowires: Phonon interchanging and pinching effects or Reduction of thermal conductivity in kinked silicon nanowire superlattices KW - Angewandte Mathematik KW - Strukturmechanik Y1 - 2013 ER - TY - JOUR A1 - Lahmer, Tom T1 - Modified Landweber iterations in a multilevel algorithm applied to inverse problems in piezoelectricity JF - Journal of Inverse and Ill-posed Problems N2 - Modified Landweber iterations in a multilevel algorithm applied to inverse problems in piezoelectricity KW - Angewandte Mathematik KW - Stochastik KW - Strukturmechanik Y1 - 2009 SP - 585 EP - 593 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 - Kumar, S. A1 - Singh, I. A1 - Mishra, B.K. A1 - Rabczuk, Timon T1 - Modeling and Simulation of Kinked Cracks by Virtual Node XFEM JF - Computer Methods in Applied Mechanics and Engineering N2 - Modeling and Simulation of Kinked Cracks by Virtual Node XFEM KW - Angewandte Mathematik KW - Strukturmechanik Y1 - 2015 SP - 1425 EP - 1466 ER - TY - JOUR A1 - Häfner, Stefan A1 - Eckardt, Stefan A1 - Luther, Torsten A1 - Könke, Carsten T1 - Mesoscale modeling of concrete: Geometry and numerics JF - Computers and Structures N2 - Mesoscale modeling of concrete: Geometry and numerics KW - Angewandte Mathematik KW - Strukturmechanik Y1 - 2006 SP - 450 EP - 461 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 - Mortazavi, Bohayra A1 - Cuniberti, G. A1 - Rabczuk, Timon T1 - Mechanical properties and thermal conductivity of graphitic carbon nitride: A molecular dynamics study JF - Computational Materials Science N2 - Mechanical properties and thermal conductivity of graphitic carbon nitride: A molecular dynamics study KW - Angewandte Mathematik KW - Strukturmechanik Y1 - 2015 SP - 285 EP - 289 ER - TY - JOUR A1 - Jiang, Jin-Wu A1 - Rabczuk, Timon T1 - Mechanical Oscillation of Kinked Silicon Nanowires: a Natural Nanoscale Spring JF - Applied Physics Letters N2 - Mechanical Oscillation of Kinked Silicon Nanowires: a Natural Nanoscale Spring KW - Angewandte Mathematik KW - Strukturmechanik Y1 - 2013 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 - Savaidis, G. A1 - Schliebner, R. A1 - Vormwald, Michael T1 - Lebensdauerermittlung von geschweißten, mehrachsig belasteten Nutzfahrzeugkomponenten - Vergleich von Schwingfestigkeiten aus Rechnung und Versuch bei nichtproportionaler Beanspruchung JF - Materialprüfung N2 - Lebensdauerermittlung von geschweißten, mehrachsig belasteten Nutzfahrzeugkomponenten - Vergleich von Schwingfestigkeiten aus Rechnung und Versuch bei nichtproportionaler Beanspruchung KW - Angewandte Mathematik KW - Strukturmechanik Y1 - 2001 SP - 381 EP - 386 ER - TY - JOUR A1 - Hoffmeyer, J. A1 - Döring, R. A1 - Vormwald, Michael T1 - Kurzrisswachstum bei mehrachsig nichtproportionaler Beanspruchung JF - Materialwissenschaft und Werkstofftechnik N2 - Kurzrisswachstum bei mehrachsig nichtproportionaler Beanspruchung KW - Angewandte Mathematik KW - Strukturmechanik Y1 - 2001 SP - 329 EP - 336 ER - TY - JOUR A1 - Nguyen-Thanh, Nhon A1 - Nguyen-Xuan, Hung A1 - Bordas, Stéphane Pierre Alain A1 - Rabczuk, Timon T1 - Isogeometric analysis using polynomial splines over hierarchical T-meshes for two-dimensional elastic solids JF - Computer Methods in Applied Mechanics and Engineering N2 - Isogeometric analysis using polynomial splines over hierarchical T-meshes for two-dimensional elastic solids KW - Angewandte Mathematik KW - Strukturmechanik Y1 - 2011 SP - 1892 EP - 1908 ER - TY - JOUR A1 - Nguyen, V.P. A1 - Kerfriden, Pierre A1 - Bordas, Stéphane Pierre Alain A1 - Rabczuk, Timon T1 - Isogeometric analysis suitable trivariate NURBS representation of composite panels with a new offset algorithm JF - Computer-Aided Design N2 - Isogeometric analysis suitable trivariate NURBS representation of composite panels with a new offset algorithm KW - Angewandte Mathematik KW - Strukturmechanik Y1 - 2014 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 - Ghasemi, Hamid A1 - Kerfriden, Pierre A1 - Bordas, Stéphane Pierre Alain A1 - Muthu, Jacob A1 - Zi, Goangseup A1 - Rabczuk, Timon T1 - Interfacial shear stress optimization in sandwich beams with polymeric core using nonuniform distribution of reinforcing ingredients JF - Composite Structures N2 - Interfacial shear stress optimization in sandwich beams with polymeric core using nonuniform distribution of reinforcing ingredients KW - Angewandte Mathematik KW - Strukturmechanik Y1 - 2015 SP - 221 EP - 230 ER - TY - JOUR A1 - Areias, Pedro A1 - Rabczuk, Timon A1 - Dias-da-Costa, D. A1 - Piresh, E.B. T1 - Implicit solutions with consistent additive and multiplicative components JF - Finite Elements in Analysis and Design N2 - This work describes an algorithm and corresponding software for incorporating general nonlinear multiple-point equality constraints in a implicit sparse direct solver. It is shown that direct addressing of sparse matrices is possible in general circumstances, circumventing the traditional linear or binary search for introducing (generalized) constituents to a sparse matrix. Nested and arbitrarily interconnected multiple-point constraints are introduced by processing of multiplicative constituents with a built-in topological ordering of the resulting directed graph. A classification of discretization methods is performed and some re-classified problems are described and solved under this proposed perspective. The dependence relations between solution methods, algorithms and constituents becomes apparent. Fracture algorithms can be naturally casted in this framework. Solutions based on control equations are also directly incorporated as equality constraints. We show that arbitrary constituents can be used as long as the resulting directed graph is acyclic. It is also shown that graph partitions and orderings should be performed in the innermost part of the algorithm, a fact with some peculiar consequences. The core of our implicit code is described, specifically new algorithms for direct access of sparse matrices (by means of the clique structure) and general constituent processing. It is demonstrated that the graph structure of the second derivatives of the equality constraints are cliques (or pseudo-elements) and are naturally included as such. A complete algorithm is presented which allows a complete automation of equality constraints, avoiding the need of pre-sorting. Verification applications in four distinct areas are shown: single and multiple rigid body dynamics, solution control and computational fracture. KW - Angewandte Mathematik KW - Strukturmechanik Y1 - 2012 U6 - http://dx.doi.org/10.1016/j.finel.2012.03.007 SP - 15 EP - 31 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 - Knabe, Tina A1 - Datcheva, Maria A1 - Lahmer, Tom A1 - Cotecchia, F. A1 - Schanz, Tom T1 - Identification of constitutive parameters of soil using an optimization strategy and statistical analysis JF - Computers and Geotechnics N2 - Identification of constitutive parameters of soil using an optimization strategy and statistical analysis KW - Angewandte Mathematik KW - Stochastik KW - Strukturmechanik Y1 - 2013 SP - 143 EP - 157 ER - TY - JOUR A1 - Luu, M. A1 - Martinez-Rodrigo, M.D. A1 - Zabel, Volkmar A1 - Könke, Carsten T1 - H∞ optimization of fluid viscous dampers for reducing vibrations of high-speed railway bridges JF - Journal of Sound and Vibration N2 - H∞ optimization of fluid viscous dampers for reducing vibrations of high-speed railway bridges KW - Angewandte Mathematik KW - Strukturmechanik Y1 - 2014 SP - 2421 EP - 2442 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 - 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 - Achenbach, Marcus A1 - Lahmer, Tom A1 - Morgenthal, Guido T1 - Global Sensitivity Analysis of Reinforced Concrete Walls Subjected to Standard Fire - A Comparison of Methods JF - 14th International Probabilistic Workshop N2 - Global Sensitivity Analysis of Reinforced Concrete Walls Subjected to Standard Fire—A Comparison of Methods KW - Angewandte Mathematik KW - Stochastik KW - Strukturmechanik Y1 - 2017 SP - 97 EP - 106 ER - TY - JOUR A1 - Nguyen-Tuan, Long A1 - Lahmer, Tom A1 - Datcheva, Maria A1 - Schanz, Tom T1 - Global and local sensitivity analyses for coupled thermo‐hydro‐mechanical problems JF - International Journal for Numerical and Analytical Methods in Geomechanics N2 - Global and local sensitivity analyses for coupled thermo‐hydro‐mechanical problems KW - Angewandte Mathematik KW - Stochastik KW - Strukturmechanik Y1 - 2016 ER - TY - JOUR A1 - Nguyen-Thoi, T. A1 - Rabczuk, Timon A1 - Lam-Phat, T. A1 - Ho-Huu, V. A1 - Phung-Van, P. T1 - Free vibration analysis of cracked Mindlin plate using an extended cell-based smoothed discrete shear gap method (XCS-DSG3) JF - Theoretical and Applied Fracture Mechanics N2 - Free vibration analysis of cracked Mindlin plate using an extended cell-based smoothed discrete shear gap method (XCS-DSG3) KW - Angewandte Mathematik KW - Strukturmechanik Y1 - 2014 ER - TY - JOUR A1 - Nguyen-Thoi, T. A1 - Phung-Van, P. A1 - Rabczuk, Timon A1 - Nguyen-Xuan, Hung A1 - Le-Van, C. T1 - Free and forced vibration analysis using the n-sided polygonal cell-based smoothed finite element method (nCS-FEM) JF - International Journal of Computational Methods N2 - Free and forced vibration analysis using the n-sided polygonal cell-based smoothed finite element method (nCS-FEM) KW - Angewandte Mathematik KW - Strukturmechanik Y1 - 2013 ER - TY - JOUR A1 - Areias, Pedro A1 - Rabczuk, Timon A1 - Cesar de Sa, J.M. A1 - Garcao, J.E. T1 - Finite strain quadrilateral shell using least-squares _t of relative Lagrangian in-plane strains JF - Finite Elements in Analysis and Design N2 - Finite strain quadrilateral shell using least-squares _t of relative Lagrangian in-plane strains KW - Angewandte Mathematik KW - Strukturmechanik Y1 - 2015 SP - 26 EP - 40 ER - TY - JOUR A1 - Areias, Pedro A1 - Rabczuk, Timon T1 - Finite strain fracture of plates and shells with configurational forces and edge rotation JF - International Journal for Numerical Methods in Engineering N2 - Finite strain fracture of plates and shells with configurational forces and edge rotation KW - Angewandte Mathematik KW - Strukturmechanik Y1 - 2013 ER - TY - JOUR A1 - Areias, Pedro A1 - Rabczuk, Timon A1 - Camanho, P.P. T1 - Finite strain fracture of 2D problems with injected anisotropic softening elements JF - Theoretical and Applied Fracture Mechanics N2 - Finite strain fracture of 2D problems with injected anisotropic softening elements KW - Angewandte Mathematik KW - Strukturmechanik Y1 - 2014 ER - TY - JOUR A1 - Lahmer, Tom A1 - Kaltenbacher, Manfred A1 - Kaltenbacher, Barbara A1 - Lerch, Reinhard A1 - Leder, Erich T1 - Fem-based determination of real and complex elastic, dielectric, and piezoelectric moduli in piezoceramic materials JF - IEEE transactions on ultrasonics, ferroelectrics, and frequency control N2 - Fem-based determination of real and complex elastic, dielectric, and piezoelectric moduli in piezoceramic materials. KW - Angewandte Mathematik KW - Stochastik KW - Strukturmechanik Y1 - 2008 U6 - http://dx.doi.org/10.25643/bauhaus-universitaet.3594 ER - TY - JOUR A1 - Jia, Yue A1 - Anitescu, Cosmin A1 - Ghorashi, Seyed Shahram A1 - Rabczuk, Timon A1 - Dias-da-Costa, D. T1 - Extended Isogeometric Analysis for Material Interface Problems JF - Journal of Applied Mathematics N2 - Extended Isogeometric Analysis for Material Interface Problems KW - Angewandte Mathematik KW - Strukturmechanik Y1 - 2014 ER - TY - JOUR A1 - Chen, Lei A1 - Rabczuk, Timon A1 - Liu, G.R. A1 - Zeng, K.Y. A1 - Kerfriden, Pierre A1 - Bordas, Stéphane Pierre Alain T1 - Extended finite element method with edge-based strain smoothing (ESm-XFEM) for linear elastic crack growth JF - Computer Methods in Applied Mechanics and Engineering N2 - This paper presents a strain smoothing procedure for the extended finite element method (XFEM). The resulting “edge-based” smoothed extended finite element method (ESm-XFEM) is tailored to linear elastic fracture mechanics and, in this context, to outperform the standard XFEM. In the XFEM, the displacement-based approximation is enriched by the Heaviside and asymptotic crack tip functions using the framework of partition of unity. This eliminates the need for the mesh alignment with the crack and re-meshing, as the crack evolves. Edge-based smoothing (ES) relies on a generalized smoothing operation over smoothing domains associated with edges of simplex meshes, and produces a softening effect leading to a close-to-exact stiffness, “super-convergence” and “ultra-accurate” solutions. The present method takes advantage of both the ES-FEM and the XFEM. Thanks to the use of strain smoothing, the subdivision of elements intersected by discontinuities and of integrating the (singular) derivatives of the approximation functions is suppressed via transforming interior integration into boundary integration. Numerical examples show that the proposed method improves significantly the accuracy of stress intensity factors and achieves a near optimal convergence rate in the energy norm even without geometrical enrichment or blending correction. KW - Angewandte Mathematik KW - Strukturmechanik Y1 - 2012 U6 - http://dx.doi.org/10.1016/j.cma.2011.08.013 ER -