TY  - JOUR
A1  - Zhang, Yongzheng
T1  - Nonlocal dynamic Kirchhoff plate formulation based on nonlocal operator method
JF  - Engineering with Computers
N2  - 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.
KW  - Angewandte Mathematik
KW  - nonlocal operator method
KW  - nonlocal Hessian operator
KW  - operator energy functional
KW  - dual-support
KW  - variational principle
Y1  - 2022
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:gbv:wim2-20220209-45849
UR  - https://link.springer.com/article/10.1007/s00366-021-01587-1
VL  - 2022
SP  - 1
EP  - 35
PB  - Springer
CY  - London
ER  - 
TY  - JOUR
A1  - Legatiuk, Dmitrii
A1  - Weisz-Patrault, Daniel
T1  - 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
JF  - Computational Methods and Function Theory
N2  - 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.
KW  - Angewandte Mathematik
KW  - Finite-Elemente-Methode
KW  - Rissausbreitung
KW  - Modellierung
KW  - Bruchmechanik
KW  - fracture mechanics
KW  - crack propagation
KW  - coupling
KW  - energetic approach
Y1  - 2021
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:gbv:wim2-20210805-44763
UR  - https://link.springer.com/article/10.1007/s40315-021-00403-7
VL  - 2021
SP  - 1
EP  - 23
PB  - Springer
CY  - Heidelberg
ER  - 
TY  - JOUR
A1  - Gürlebeck, Klaus
A1  - Legatiuk, Dmitrii
A1  - Nilsson, Henrik
A1  - Smarsly, Kay
T1  - Conceptual modelling: Towards detecting modelling errors in engineering applications
JF  - Mathematical Methods in Applied Sciences
N2  - 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.
KW  - Angewandte Mathematik
KW  - Angewandte Informatik
KW  - Ingenieurwissenschaften
KW  - Modellierung
KW  - engineering
KW  - abstraction
KW  - modelling
KW  - formal approaches
KW  - type theory
Y1  - 2019
U6  - http://nbn-resolving.de/urn/resolver.pl?urn:nbn:de:gbv:wim2-20200110-40614
UR  - https://onlinelibrary.wiley.com/doi/abs/10.1002/mma.5934
SP  - 1
EP  - 10
ER  - 
TY  - JOUR
A1  - Alalade, Muyiwa
A1  - Nguyen-Tuan, Long
A1  - Wuttke, Frank
A1  - Lahmer, Tom
T1  - Damage identification in gravity dams using dynamic coupled hydro-mechanical XFEM
JF  - International Journal of Mechanics and Materials in Design
N2  - Damage identification in gravity dams using dynamic coupled hydro-mechanical XFEM.
KW  - Angewandte Mathematik
KW  - Stochastik
KW  - Strukturmechanik
Y1  - 2017
U6  - http://dx.doi.org/10.25643/bauhaus-universitaet.3596
SP  - 1
EP  - 19
ER  - 
TY  - JOUR
A1  - Kaltenbacher, Barbara
A1  - Lahmer, Tom
A1  - Mohr, Marcus
A1  - Kaltenbacher, Manfred
T1  - PDE based determination of piezoelectric material tensors
JF  - European Journal of Applied Mathematics
N2  - PDE based determination of piezoelectric material tensors.
KW  - Angewandte Mathematik
KW  - Stochastik
KW  - Strukturmechanik
Y1  - 2006
U6  - http://dx.doi.org/10.25643/bauhaus-universitaet.3595
SP  - 383
EP  - 416
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  - Lahmer, Tom
A1  - Kaltenbacher, Barbara
A1  - Schulz, V.
T1  - Optimal measurement selection for piezoelectric material tensor identification
JF  - Inverse Problems in Science and Engineering
N2  - Optimal measurement selection for piezoelectric material tensor identification.
KW  - Angewandte Mathematik
KW  - Stochastik
KW  - Strukturmechanik
Y1  - 2008
U6  - http://dx.doi.org/10.25643/bauhaus-universitaet.3593
SP  - 369
EP  - 387
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  - Hauck, A.
A1  - Lahmer, Tom
A1  - Kaltenbacher, Manfred
T1  - Enhanced homogenization technique for magnetomechanical systems using the generalized finite element method
JF  - COMPEL: The international journal for computation and mathematics in electrical and electronic engineering
N2  - Enhanced homogenization technique for magnetomechanical systems using the generalized finite element method
KW  - Angewandte Mathematik
KW  - Stochastik
KW  - Strukturmechanik
Y1  - 2009
SP  - 935
EP  - 947
ER  - 
TY  - JOUR
A1  - Lahmer, Tom
A1  - Könke, Carsten
A1  - Bettzieche, Volker
T1  - Optimal positioning of sensors for the monitoring of water dams
JF  - WASSERWIRTSCHAFT
N2  - Optimal positioning of sensors for the monitoring of water dams
KW  - Angewandte Mathematik
KW  - Stochastik
KW  - Strukturmechanik
Y1  - 2010
SP  - 16
EP  - 19
ER  - 
TY  - JOUR
A1  - Lahmer, Tom
A1  - Könke, Carsten
A1  - Bettzieche, Volker
T1  - Optimale Positionierung von Messeinrichtungen an Staumauern zur Bauwerksüberwachung
JF  - WASSERWIRTSCHAFT
N2  - Optimale Positionierung von Messeinrichtungen an Staumauern zur Bauwerksüberwachung
KW  - Angewandte Mathematik
KW  - Stochastik
KW  - Strukturmechanik
Y1  - 2010
SP  - 16
EP  - 16
ER  - 
TY  - JOUR
A1  - Lahmer, Tom
T1  - Crack identification in hydro-mechanical systems with applications to gravity water dams
JF  - Inverse Problems in Science and Engineering
N2  - Crack identification in hydro-mechanical systems with applications to gravity water dams
KW  - Angewandte Mathematik
KW  - Stochastik
KW  - Strukturmechanik
Y1  - 2010
SP  - 1083
EP  - 1101
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  - Lahmer, Tom
A1  - Knabe, Tina
A1  - Nikulla, Susanne
A1  - Reuter, Markus
T1  - Bewertungsmethoden für Modelle des konstruktiven Ingenieurbaus
BT  - Sonderdruck‐DFG Graduiertenkolleg
JF  - Bautechnik
N2  - Bewertungsmethoden für Modelle des konstruktiven Ingenieurbaus
KW  - Angewandte Mathematik
KW  - Stochastik
KW  - Strukturmechanik
Y1  - 2011
SP  - 60
EP  - 64
ER  - 
TY  - JOUR
A1  - Lahmer, Tom
T1  - Optimal experimental design for nonlinear ill-posed problems applied to gravity dams
JF  - Inverse Problems
N2  - Optimal experimental design for nonlinear ill-posed problems applied to gravity dams
KW  - Angewandte Mathematik
KW  - Stochastik
KW  - Strukturmechanik
Y1  - 2011
ER  - 
TY  - JOUR
A1  - Keitel, Holger
A1  - Karaki, Ghada
A1  - Lahmer, Tom
A1  - Nikulla, Susanne
A1  - Zabel, Volkmar
T1  - Evaluation of coupled partial models in structural engineering using graph theory and sensitivity analysis
JF  - Engineering structures
N2  - Evaluation of coupled partial models in structural engineering using graph theory and sensitivity analysis
KW  - Angewandte Mathematik
KW  - Stochastik
KW  - Strukturmechanik
Y1  - 2011
SP  - 3726
EP  - 3736
ER  - 
TY  - JOUR
A1  - Nanthakumar, S.S.
A1  - Lahmer, Tom
A1  - Rabczuk, Timon
T1  - Detection of flaws in piezoelectric structures using extended FEM
JF  - International Journal for Numerical Methods in Engineering
N2  - Detection of flaws in piezoelectric structures using extended FEM
KW  - Angewandte Mathematik
KW  - Stochastik
KW  - Strukturmechanik
Y1  - 2013
SP  - 373
EP  - 389
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  - 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  - Lahmer, Tom
A1  - Ilg, J.
A1  - Lerch, Reinhard
T1  - Variance-based sensitivity analyses of piezoelectric models
JF  - Computer Modeling in Engineering & Sciences
N2  - Variance-based sensitivity analyses of piezoelectric models
KW  - Angewandte Mathematik
KW  - Stochastik
KW  - Strukturmechanik
Y1  - 2015
SP  - 105
EP  - 126
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  - 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  - Nguyen-Tuan, Long
A1  - Lahmer, Tom
A1  - Datcheva, Maria
A1  - Stoimenova, Eugenia
A1  - Schanz, Tom
T1  - A novel parameter identification approach for buffer elements involving complex coupled thermo-hydro-mechanical analyses
JF  - Computers and Geotechnics
N2  - A novel parameter identification approach for buffer elements involving complex coupled thermo-hydro-mechanical analyses
KW  - Angewandte Mathematik
KW  - Stochastik
KW  - Strukturmechanik
Y1  - 2016
SP  - 23
EP  - 32
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  - Nanthakumar, S.S.
A1  - Lahmer, Tom
A1  - Zhuang, Xiaoying
A1  - Park, Harold S.
A1  - Rabczuk, Timon
T1  - Topology optimization of piezoelectric nanostructures
JF  - Journal of the Mechanics and Physics of Solids
N2  - Topology optimization of piezoelectric nanostructures
KW  - Angewandte Mathematik
KW  - Stochastik
KW  - Strukturmechanik
Y1  - 2016
SP  - 316
EP  - 335
ER  - 
TY  - JOUR
A1  - Nanthakumar, S.S.
A1  - Lahmer, Tom
A1  - Zhuang, Xiaoying
A1  - Zi, Goangseup
A1  - Rabczuk, Timon
T1  - Detection of material interfaces using a regularized level set method in piezoelectric structures
JF  - Inverse Problems in Science and Engineering
N2  - Detection of material interfaces using a regularized level set method in piezoelectric structures
KW  - Angewandte Mathematik
KW  - Stochastik
KW  - Strukturmechanik
Y1  - 2016
SP  - 153
EP  - 176
ER  - 
TY  - JOUR
A1  - Nanthakumar, S.S.
A1  - Lahmer, Tom
A1  - Rabczuk, Timon
T1  - Detection of multiple flaws in piezoelectric structures using XFEM and level sets
JF  - International Journal for Numerical Methods in Engineering
N2  - Detection of multiple flaws in piezoelectric structures using XFEM and level sets
KW  - Angewandte Mathematik
KW  - Stochastik
KW  - Strukturmechanik
Y1  - 2016
SP  - 960
ER  - 
TY  - JOUR
A1  - Marzban, Samira
A1  - Lahmer, Tom
T1  - Conceptual implementation of the variance-based sensitivity analysis for the calculation of the first-order effects
JF  - Journal of Statistical Theory and Practice
N2  - Conceptual implementation of the variance-based sensitivity analysis for the calculation of the first-order effects
KW  - Angewandte Mathematik
KW  - Stochastik
KW  - Strukturmechanik
Y1  - 2016
SP  - 589
EP  - 611
ER  - 
TY  - JOUR
A1  - Lahmer, Tom
A1  - Nguyen-Tuan, Long
A1  - Könke, Carsten
A1  - Bettzieche, Volker
T1  - Thermo-hydro-mechanische 3-D-Simulation von Staumauern‐Modellierung und Validierung
JF  - WASSERWIRTSCHAFT
N2  - Thermo-hydro-mechanische 3-D-Simulation von Staumauern‐Modellierung und Validierung
KW  - Angewandte Mathematik
KW  - Stochastik
KW  - Strukturmechanik
Y1  - 2016
SP  - 27
EP  - 30
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  - Ghorashi, Seyed Shahram
A1  - Lahmer, Tom
A1  - Bagherzadeh, Amir Saboor
A1  - Zi, Goangseup
A1  - Rabczuk, Timon
T1  - A stochastic computational method based on goal-oriented error estimation for heterogeneous geological materials
JF  - Engineering Geology
N2  - A stochastic computational method based on goal-oriented error estimation for heterogeneous geological materials
KW  - Angewandte Mathematik
KW  - Stochastik
KW  - Strukturmechanik
Y1  - 2016
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  - 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  - Göbel, Luise
A1  - Lahmer, Tom
A1  - Osburg, Andrea
T1  - Uncertainty analysis in multiscale modeling of concrete based on continuum micromechanics
JF  - European Journal of Mechanics-A/Solids
N2  - Uncertainty analysis in multiscale modeling of concrete based on continuum micromechanics
KW  - Angewandte Mathematik
KW  - Stochastik
KW  - Strukturmechanik
Y1  - 2017
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  - 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  - 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  - 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  - 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  - Döring, R.
A1  - Hoffmeyer, J.
A1  - Seeger, T.
A1  - Vormwald, Michael
T1  - Verformungsverhalten und rechnerische Abschätzung der Ermüdungslebensdauer metallischer Werkstoffe unter mehrachsig nichtproportionaler Beanspruchung
JF  - Materialwissenschaft und Werkstofftechnik
N2  - Verformungsverhalten und rechnerische Abschätzung der Ermüdungslebensdauer metallischer Werkstoffe unter mehrachsig nichtproportionaler Beanspruchung
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2002
SP  - 280
EP  - 288
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  - Döring, R.
A1  - Hoffmeyer, J.
A1  - Seeger, T.
A1  - Vormwald, Michael
T1  - A plasticity model for calculating stress–strain sequences under multiaxial nonproportional cyclic loading
JF  - Computational Materials Science
N2  - A plasticity model for calculating stress–strain sequences under multiaxial nonproportional cyclic loading
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2003
SP  - 587
EP  - 596
ER  - 
TY  - JOUR
A1  - Savaidis, G.
A1  - Savaidis, A.
A1  - Schliebner, R.
A1  - Vormwald, Michael
T1  - Evaluation of fatigue of fillet welded joints in vehicle components under multiaxial service loads
JF  - European Structural Integrity Society
N2  - Evaluation of fatigue of fillet welded joints in vehicle components under multiaxial service loads
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2003
SP  - 23
EP  - 42
ER  - 
TY  - JOUR
A1  - Most, Thomas
A1  - Bucher, Christian
A1  - Schorling, York
T1  - Dynamic stability analysis of non-linear structures with geometrical imperfections under random loading
JF  - Journal of Sound and Vibration
N2  - Dynamic stability analysis of non-linear structures with geometrical imperfections under random loading
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2004
SP  - 381
EP  - 400
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
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  - 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  - Most, Thomas
A1  - Bucher, Christian
T1  - A moving least squares weighting function for the element-free Galerkin method which almost fulfills essential boundary conditions
JF  - Structural Engineering and Mechanics
N2  - A moving least squares weighting function for the element-free Galerkin method which almost fulfills essential boundary conditions
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2005
SP  - 315
EP  - 332
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  - 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  - 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  - Most, Thomas
A1  - Bucher, Christian
T1  - Stochastic simulation of cracking in concrete structures using multi-parameter random fields
JF  - International Journal of Reliability and Safety
N2  - Stochastic simulation of cracking in concrete structures using multi-parameter random fields
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2006
SP  - 168
EP  - 187
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  - Bucher, Christian
A1  - Frangopol, D.M.
T1  - Optimization of lifetime maintenance strategies for deteriorting structures considering probabilities of violating safety, condition, and cost thresholds
JF  - Probabilistic Engineering Mechanics
N2  - Optimization of lifetime maintenance strategies for deteriorting structures considering probabilities of violating safety, condition, and cost thresholds
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2006
SP  - 1
EP  - 8
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  - Most, Thomas
A1  - Bucher, Christian
T1  - Energy-based simulation of concrete cracking using an improved mixed-mode cohesive crack model within a meshless discretization
JF  - International Journal for Numerical and Analytical Methods in Geomechanics
N2  - Energy-based simulation of concrete cracking using an improved mixed-mode cohesive crack model within a meshless discretization
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2007
SP  - 285
EP  - 305
ER  - 
TY  - JOUR
A1  - Most, Thomas
A1  - Bucher, Christian
T1  - Probabilistic analysis of concrete cracking using neural networks and random fields
JF  - Probabilistic Engineering Mechanics
N2  - Probabilistic analysis of concrete cracking using neural networks and random fields
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2007
SP  - 219
EP  - 229
ER  - 
TY  - JOUR
A1  - Most, Thomas
T1  - A natural neighbour-based moving least-squares approach for the element-free Galerkin method
JF  - International Journal for Numerical Methods in Engineering
N2  - A natural neighbour-based moving least-squares approach for the element-free Galerkin method
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2007
SP  - 224
EP  - 252
ER  - 
TY  - JOUR
A1  - Macke, M.
A1  - Higuchi, Shoko
T1  - Optimizing maintenance interventions for deteriorating structures using cost-benefit criteria
JF  - Journal of Structural Engineering
N2  - Optimizing maintenance interventions for deteriorating structures using cost-benefit criteria
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2007
SP  - 925
EP  - 934
ER  - 
TY  - JOUR
A1  - Higuchi, Shoko
A1  - Macke, M.
T1  - Cost-benefit based optimization of maintenance interventions for deteriorating structures
JF  - Structural Engineering/Earthquake Engineering
N2  - Cost-benefit based optimization of maintenance interventions for deteriorating structures
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2007
SP  - 131
EP  - 147
ER  - 
TY  - JOUR
A1  - Higuchi, Shoko
A1  - Macke, M.
T1  - Cost-benefit based optimization of maintenance interventions for deteriorating structures
JF  - Doboku Gakkai Ronbunshuu A
N2  - Cost-benefit based optimization of maintenance interventions for deteriorating structures
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2007
SP  - 727
EP  - 743
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  - 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  - Most, Thomas
A1  - Ishii, H.
A1  - Geng, X.
A1  - Bolzern, P.
A1  - Colaneri, P.
A1  - De Nicolao, G.
T1  - Discussion on Almost sure stability of stochastic linear systems with ergodic parameters
JF  - European Journal of Control
N2  - Discussion on Almost sure stability of stochastic linear systems with ergodic parameters
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2008
SP  - 124
EP  - 130
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  - Higuchi, Shoko
A1  - Macke, M.
T1  - Cost-benefit analysis for the optimal rehabilitation of deteriorating structures
JF  - Structural Safety
N2  - Cost-benefit analysis for the optimal rehabilitation of deteriorating structures
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2008
SP  - 291
EP  - 306
ER  - 
TY  - JOUR
A1  - Eckardt, Stefan
A1  - Könke, Carsten
T1  - Adaptive damage simulation of concrete using heterogeneous multiscale models
JF  - Journal of Algorithms & Computational Technology
N2  - Adaptive damage simulation of concrete using heterogeneous multiscale models
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2008
SP  - 275
EP  - 297
ER  - 
TY  - JOUR
A1  - Bucher, Christian
A1  - Most, Thomas
T1  - A comparison of approximate response functions in structural reliability analysis
JF  - Probabilistic Engineering Mechanics
N2  - A comparison of approximate response functions in structural reliability analysis
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2008
SP  - 154
EP  - 163
ER  - 
TY  - JOUR
A1  - Nguyen-Thanh, Nhon
A1  - Rabczuk, Timon
A1  - Nguyen-Xuan, Hung
A1  - Bordas, Stéphane Pierre Alain
T1  - An alternative alpha finite element method (A?FEM) free and forced vibration analysis of solids using triangular meshes
JF  - Journal of Computational and Applied Mathematics
N2  - An alternative alpha finite element method (A?FEM) free and forced vibration analysis of solids using triangular meshes
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2009
SP  - 2112
EP  - 2135
ER  - 
TY  - JOUR
A1  - Luther, Torsten
A1  - Könke, Carsten
T1  - Polycrystal models for the analysis of intergranular crack growth in metallic materials
JF  - Engineering Fracture Mechanics
N2  - Polycrystal models for the analysis of intergranular crack growth in metallic materials
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2009
SP  - 2332
EP  - 2343
ER  - 
TY  - JOUR
A1  - Nasser, Mourad
A1  - Schwedler, Michael
A1  - Wuttke, Frank
A1  - Könke, Carsten
T1  - Seismic analysis of structural response using simplified soil-structure interaction models
JF  - Bauingenieur, D-A-CH-Mitteilungsblatt
N2  - Seismic analysis of structural response using simplified soil-structure interaction models
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2010
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  - Luther, Torsten
A1  - Könke, Carsten
T1  - Coupled cohesive zone representations from 3D quasicontinuum simulation on aluminum grain boundaries
JF  - International Journal for Multiscale Computational Engineering
N2  - Coupled cohesive zone representations from 3D quasicontinuum simulation on aluminum grain boundaries
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2010
ER  - 
TY  - JOUR
A1  - Brehm, Maik
A1  - Zabel, Volkmar
A1  - Bucher, Christian
T1  - An automatic mode pairing strategy using an enhanced modal assurance citerion based on modal strain energies
JF  - Journal of Sound and Vibration
N2  - 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.
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2010
U6  - http://dx.doi.org/10.1016/j.jsv.2010.07.006
SP  - 5375
EP  - 5392
ER  - 
TY  - JOUR
A1  - Nguyen-Xuan, Hung
A1  - Rabczuk, Timon
A1  - Nguyen-Thanh, Nhon
A1  - Nguyen-Thoi, T.
A1  - Bordas, Stéphane Pierre Alain
T1  - A node-based smoothed finite element method (NS-FEM) for analysis of Reissner-Mindlin plates
JF  - Computational Mechanics
N2  - A node-based smoothed finite element method (NS-FEM) for analysis of Reissner-Mindlin plates
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2010
SP  - 679
EP  - 701
ER  - 
TY  - JOUR
A1  - Nguyen-Thanh, Nhon
A1  - Thai-Hoang, C.
A1  - Nguyen-Xuan, Hung
A1  - Rabczuk, Timon
T1  - A smoothed finite element method for the static and free vibration analysis of shells
JF  - Journal of Civil Engineering and Architecture
N2  - A smoothed finite element method for the static and free vibration analysis of shells
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2010
SP  - 13
EP  - 25
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  - Brehm, Maik
A1  - Zabel, Volkmar
A1  - Bucher, Christian
T1  - Optimal reference sensor positions for applications in model updating using output-only vibration test data based on random excitation: Part 2 - improved search strategy and experimental case study
JF  - Mechanical Systems and Signal Processing
N2  - Optimal reference sensor positions for applications in model updating using output-only vibration test data based on random excitation: Part 2 - improved search strategy and experimental case study
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2011
ER  - 
TY  - JOUR
A1  - Nguyen-Thanh, Nhon
A1  - Rabczuk, Timon
A1  - Nguyen-Xuan, Hung
A1  - Bordas, Stéphane Pierre Alain
T1  - An alternative alpha finite element method with stabilized discrete shear gap technique for analysis of Mindlin-Reissner plates
JF  - Finite Elements in Analysis & Design
N2  - An alternative alpha finite element method with stabilized discrete shear gap technique for analysis of Mindlin-Reissner plates
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2011
SP  - 519
EP  - 535
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-Thanh, Nhon
A1  - Kiendl, J.
A1  - Nguyen-Xuan, Hung
A1  - Wüchner, R.
A1  - Bletzinger, Kai-Uwe
A1  - Bazilevs, Yuri
A1  - Rabczuk, Timon
T1  - Rotation free isogeometric thin shell analysis using PHT-splines
JF  - Computer Methods in Applied Mechanics and Engineering
N2  - Rotation free isogeometric thin shell analysis using PHT-splines
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2011
SP  - 3410
EP  - 3424
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  - Chau-Dinh, T.
A1  - Zi, Goangseup
A1  - Lee, P.S.
A1  - Song, Jeong-Hoon
A1  - Rabczuk, Timon
T1  - Phantom-node method for shell models with arbitrary cracks
JF  - Computers & Structures
N2  - A phantom-node method is developed for three-node shell elements to describe cracks. This method can treat arbitrary cracks independently of the mesh. The crack may cut elements completely or partially. Elements are overlapped on the position of the crack, and they are partially integrated to implement the discontinuous displacement across the crack. To consider the element containing a crack tip, a new kinematical relation between the overlapped elements is developed. There is no enrichment function for the discontinuous displacement field. Several numerical examples are presented to illustrate the proposed method.
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2012
U6  - http://dx.doi.org/10.1016/j.compstruc.2011.10.021
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  - 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  - 
TY  - JOUR
A1  - Nguyen-Xuan, Hung
A1  - Rabczuk, Timon
A1  - Nguyen-Thoi, T.
A1  - Tran, T.
A1  - Nguyen-Thanh, Nhon
T1  - Computation of limit and shakedown loads using a node-based smoothed finite element method
JF  - International Journal for Numerical Methods in Engineering
N2  - This paper presents a novel numerical procedure for computing limit and shakedown loads of structures using a node-based smoothed FEM in combination with a primal–dual algorithm. An associated primal–dual form based on the von Mises yield criterion is adopted. The primal-dual algorithm together with a Newton-like iteration are then used to solve this associated primal–dual form to determine simultaneously both approximate upper and quasi-lower bounds of the plastic collapse limit and the shakedown limit. The present formulation uses only linear approximations and its implementation into finite element programs is quite simple. Several numerical examples are given to show the reliability, accuracy, and generality of the present formulation compared with other available methods.
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2012
U6  - http://dx.doi.org/10.1002/nme.3317
SP  - 287
EP  - 310
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  - Jiang, Jin-Wu
A1  - Zhao, Jun-Hua
A1  - Zhou, K.
A1  - Rabczuk, Timon
T1  - Superior thermal conductivity and extremely high mechanical strength in polyethylene chains from ab initio calculation
JF  - Journal of Applied Physics
N2  - The upper limit of the thermal conductivity and the mechanical strength are predicted for the polyethylene chain, by performing the ab initio calculation and applying the quantum mechanical non-equilibrium Green’s function approach. Specially, there are two main findings from our calculation: (1) the thermal conductivity can reach a high value of 310 Wm−1 K−1 in a 100 nm polyethylene chain at room temperature and the thermal conductivity increases with the length of the chain; (2) the Young’s modulus in the polyethylene chain is as high as 374.5 GPa, and the polyethylene chain can sustain 32.85%±0.05% (ultimate) strain before undergoing structural phase transition into gaseous ethylene.
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2012
U6  - http://dx.doi.org/10.1063/1.4729489
ER  - 
TY  - JOUR
A1  - Jiang, Jin-Wu
A1  - Wang, Bing-Shen
A1  - Rabczuk, Timon
T1  - Acoustic and breathing phonon modes in bilayer graphene with Moire-acute patterns
JF  - Applied Physics Letters
N2  - The lattice dynamics properties are investigated for twisting bilayer graphene. There are big jumps for the inter-layer potential at twisting angle θ=0° and 60°, implying the stability of Bernal-stacking and the instability of AA-stacking structures, while a long platform in [8,55]° indicates the ease of twisting bilayer graphene in this wide angle range. Significant frequency shifts are observed for the z breathing mode around θ=0° and 60°, while the frequency is a constant in a wide range [8,55]°. Using the z breathing mode, a mechanical nanoresonator is proposed to operate on a robust resonant frequency in terahertz range.
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2012
U6  - http://dx.doi.org/10.1063/1.4735246
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  - Nguyen-Vinh, H.
A1  - Bakar, I.
A1  - Msekh, Mohammed Abdulrazzak
A1  - Song, Jeong-Hoon
A1  - Muthu, Jacob
A1  - Zi, Goangseup
A1  - Le, P.
A1  - Bordas, Stéphane Pierre Alain
A1  - Simpson, R.
A1  - Natarajan, S.
A1  - Lahmer, Tom
A1  - Rabczuk, Timon
T1  - Extended Finite Element Method for Dynamic Fracture of Piezo-Electric Materials
JF  - Engineering Fracture Mechanics
N2  - We present an extended finite element formulation for dynamic fracture of piezo-electric materials. The method is developed in the context of linear elastic fracture mechanics. It is applied to mode I and mixed mode-fracture for quasi-steady cracks. An implicit time integration scheme is exploited. The results are compared to results obtained with the boundary element method and show excellent agreement.
KW  - Angewandte Mathematik
KW  - Stochastik
KW  - Strukturmechanik
Y1  - 2012
U6  - http://dx.doi.org/10.1016/j.engfracmech.2012.04.025
SP  - 19
EP  - 31
ER  - 
TY  - JOUR
A1  - Natarajan, S.
A1  - Chakraborty, S.
A1  - Thangavel, M.
A1  - Bordas, Stéphane Pierre Alain
A1  - Rabczuk, Timon
T1  - Size dependent free flexural vibration behavior of functionally graded nanoplates
JF  - Computational Materials Science
N2  - Size dependent free flexural vibration behavior of functionally graded nanoplates
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2012
SP  - 74
EP  - 80
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  - 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  - Jiang, Jin-Wu
A1  - Park, Harold S.
A1  - Rabczuk, Timon
T1  - Enhancing the mass sensitivity of graphene nanoresonators via nonlinear oscillations: The effective strain mechanism
JF  - Nanotechnology
N2  - Enhancing the mass sensitivity of graphene nanoresonators via nonlinear oscillations: The effective strain mechanism
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2012
ER  - 
TY  - JOUR
A1  - Nguyen-Xuan, Hung
A1  - Liu, G.R.
A1  - Bordas, Stéphane Pierre Alain
A1  - Natarajan, S.
A1  - Rabczuk, Timon
T1  - An adaptive singular ES-FEM for mechanics problems with singular field of arbitrary order
JF  - Computer Methods in Applied Mechanics and Engineering
N2  - An adaptive singular ES-FEM for mechanics problems with singular field of arbitrary order
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2013
SP  - 252
EP  - 273
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  - Areias, Pedro
A1  - Rabczuk, Timon
A1  - Dias-da-Costa, D.
T1  - Assumed-metric spherically-interpolated quadrilateral shell element
JF  - Finite Elements in Analysis and Design
N2  - Assumed-metric spherically-interpolated quadrilateral shell element
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2013
SP  - 53
EP  - 67
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  -