@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{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{AmaniBagherzadehRabczuk, author = {Amani, Jafar and Bagherzadeh, Amir Saboor and Rabczuk, Timon}, title = {Error estimate and adaptive refinement in Mixed Discrete Least Squares Meshless method}, series = {Mathematical Problems in Engineering}, journal = {Mathematical Problems in Engineering}, abstract = {Error estimate and adaptive refinement in Mixed Discrete Least Squares Meshless method}, subject = {Angewandte Mathematik}, language = {en} } @article{AmiriMillanShenetal., author = {Amiri, Fatemeh and Mill{\´a}n, D. and Shen, Y. and Rabczuk, Timon and Arroyo, M.}, title = {Phase-field modeling of fracture in linear thin shells}, series = {Theoretical and Applied Fracture Mechanics}, journal = {Theoretical and Applied Fracture Mechanics}, pages = {102 -- 109}, abstract = {Phase-field modeling of fracture in linear thin shells}, 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{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{AreiasPintodaCostaRabczuketal., author = {Areias, Pedro and Pinto da Costa, A. and Rabczuk, Timon and Queiros de Melo, F. J. M. and Dias-da-Costa, D.}, title = {An alternative formulation for quasi-static frictional and cohesive contact problems}, series = {Computational Mechanics}, journal = {Computational Mechanics}, pages = {807 -- 824}, abstract = {An alternative formulation for quasi-static frictional and cohesive contact problems}, 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{AreiasRabczukBarbosa, author = {Areias, Pedro and Rabczuk, Timon and Barbosa, J.I.}, title = {The extended unsymmetric frontal solution for multiple-point constraints}, series = {Engineering Computations}, journal = {Engineering Computations}, abstract = {The extended unsymmetric frontal solution for multiple-point constraints}, subject = {Angewandte Mathematik}, language = {en} } @article{AreiasRabczukCamanho, author = {Areias, Pedro and Rabczuk, Timon and Camanho, P.P.}, title = {Finite strain fracture of 2D problems with injected anisotropic softening elements}, series = {Theoretical and Applied Fracture Mechanics}, journal = {Theoretical and Applied Fracture Mechanics}, abstract = {Finite strain fracture of 2D problems with injected anisotropic softening elements}, 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{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{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{AreiasRabczukDiasdaCostaetal., author = {Areias, Pedro and Rabczuk, Timon and Dias-da-Costa, D. and Piresh, E.B.}, title = {Implicit solutions with consistent additive and multiplicative components}, series = {Finite Elements in Analysis and Design}, journal = {Finite Elements in Analysis and Design}, doi = {10.1016/j.finel.2012.03.007}, pages = {15 -- 31}, abstract = {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.}, 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{BakarKramerBordasetal., author = {Bakar, I. and Kramer, O. and Bordas, St{\´e}phane Pierre Alain and Rabczuk, Timon}, title = {Optimization of Elastic Properties and Weaving Patterns of Woven Composites}, series = {Composite Structures}, journal = {Composite Structures}, pages = {575 -- 591}, abstract = {Optimization of Elastic Properties and Weaving Patterns of Woven Composites}, subject = {Angewandte Mathematik}, language = {en} } @article{BeexKerfridenRabczuketal., author = {Beex, L.A.A. and Kerfriden, Pierre and Rabczuk, Timon and Bordas, St{\´e}phane Pierre Alain}, title = {Quasicontinuum-based multiscale approaches for plate-like beam lattices experiencing in-plane and out-of-plane deformation}, series = {Computer Methods in Applied Mechanics and Engineering}, journal = {Computer Methods in Applied Mechanics and Engineering}, abstract = {Quasicontinuum-based multiscale approaches for plate-like beam lattices experiencing in-plane and out-of-plane deformation}, 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{BrehmZabelBucher, author = {Brehm, Maik and Zabel, Volkmar and Bucher, Christian}, title = {An automatic mode pairing strategy using an enhanced modal assurance citerion based on modal strain energies}, series = {Journal of Sound and Vibration}, journal = {Journal of Sound and Vibration}, doi = {10.1016/j.jsv.2010.07.006}, pages = {5375 -- 5392}, abstract = {In the context of finite element model updating using output-only vibration test data, natural frequencies and mode shapes are used as validation criteria. Consequently, the correct pairing of experimentally obtained and numerically derived natural frequencies and mode shapes is important. In many cases, only limited spatial information is available and noise is present in the measurements. Therefore, the automatic selection of the most likely numerical mode shape corresponding to a particular experimentally identified mode shape can be a difficult task. The most common criterion for indicating corresponding mode shapes is the modal assurance criterion. Unfortunately, this criterion fails in certain cases and is not reliable for automatic approaches. In this paper, the purely mathematical modal assurance criterion will be enhanced by additional physical information from the numerical model in terms of modal strain energies. A numerical example and a benchmark study with experimental data are presented to show the advantages of the proposed energy-based criterion in comparison to the traditional modal assurance criterion.}, subject = {Angewandte Mathematik}, language = {en} }