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  - 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  - Amani, Jafar
A1  - Bagherzadeh, Amir Saboor
A1  - Rabczuk, Timon
T1  - Error estimate and adaptive refinement in Mixed Discrete Least Squares Meshless method
JF  - Mathematical Problems in Engineering
N2  - Error estimate and adaptive refinement in Mixed Discrete Least Squares Meshless method
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2014
ER  - 
TY  - JOUR
A1  - Amiri, Fatemeh
A1  - Millán, D.
A1  - Shen, Y.
A1  - Rabczuk, Timon
A1  - Arroyo, M.
T1  - Phase-field modeling of fracture in linear thin shells
JF  - Theoretical and Applied Fracture Mechanics
N2  - Phase-field modeling of fracture in linear thin shells
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2014
SP  - 102
EP  - 109
ER  - 
TY  - JOUR
A1  - Anitescu, Cosmin
A1  - Jia, Yue
A1  - Zhang, Yongjie
A1  - Rabczuk, Timon
T1  - An isogeometric collocation method using superconvergent points
JF  - Computer Methods in Applied Mechanics and Engineer-ing
N2  - An isogeometric collocation method using superconvergent points
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2015
SP  - 1073
EP  - 1097
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  - Areias, Pedro
A1  - Pinto da Costa, A.
A1  - Rabczuk, Timon
A1  - Queiros de Melo, F. J. M.
A1  - Dias-da-Costa, D.
T1  - An alternative formulation for quasi-static frictional and cohesive contact problems
JF  - Computational Mechanics
N2  - An alternative formulation for quasi-static frictional and cohesive contact problems
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2014
SP  - 807
EP  - 824
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  - Barbosa, J.I.
T1  - The extended unsymmetric frontal solution for multiple-point constraints
JF  - Engineering Computations
N2  - The extended unsymmetric frontal solution for multiple-point constraints
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2014
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  - 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
A1  - Cesar de Sa, J.M.
A1  - Jorge, R.N.
T1  - A semi-implicit _nite strain shell algorithm using in-plane strains based on least-squares
JF  - Computational Mechanics
N2  - A semi-implicit _nite strain shell algorithm using in-plane strains based on least-squares
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2015
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  - Areias, Pedro
A1  - Rabczuk, Timon
A1  - Dias-da-Costa, D.
T1  - Asymmetric Shell Elements Based on a Corrected Updated-Lagrangian Approach
JF  - CMES: Computer Modeling in Engineering and Sciences
N2  - Asymmetric Shell Elements Based on a Corrected Updated-Lagrangian Approach
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2013
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  - Areias, Pedro
A1  - Rabczuk, Timon
A1  - Queiros de Melo, F. J. M.
A1  - Cesar de Sa, J.M.
T1  - Coulomb frictional contact by explicit projection in the cone for _nite displacement quasi-static problems
JF  - Computational Mechanics
N2  - Coulomb frictional contact by explicit projection in the cone for _nite displacement quasi-static problems
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2015
SP  - 57
EP  - 72
ER  - 
TY  - JOUR
A1  - Bakar, I.
A1  - Kramer, O.
A1  - Bordas, Stéphane Pierre Alain
A1  - Rabczuk, Timon
T1  - Optimization of Elastic Properties and Weaving Patterns of Woven Composites
JF  - Composite Structures
N2  - Optimization of Elastic Properties and Weaving Patterns of Woven Composites
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2013
SP  - 575
EP  - 591
ER  - 
TY  - JOUR
A1  - Beex, L.A.A.
A1  - Kerfriden, Pierre
A1  - Rabczuk, Timon
A1  - Bordas, Stéphane Pierre Alain
T1  - Quasicontinuum-based multiscale approaches for plate-like beam lattices experiencing in-plane and out-of-plane deformation
JF  - Computer Methods in Applied Mechanics and Engineering
N2  - Quasicontinuum-based multiscale approaches for plate-like beam lattices experiencing in-plane and out-of-plane deformation
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2014
ER  - 
TY  - JOUR
A1  - Ben, S.
A1  - Zhao, Jun-Hua
A1  - Zhang, Yancheng
A1  - Rabczuk, Timon
T1  - The interface strength and debonding for composite structures: review and recent developments
JF  - Composite Structures
N2  - The interface strength and debonding for composite structures: review and recent developments
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2015
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  - 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  - 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  - 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  - 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  - 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  - 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  - Budarapu, Pattabhi Ramaiah
A1  - Gracie, Robert
A1  - Bordas, Stéphane Pierre Alain
A1  - Rabczuk, Timon
T1  - An adaptive multiscale method for quasi-static crack growth
JF  - Computational Mechanics
N2  - This paper proposes an adaptive atomistic- continuum numerical method for quasi-static crack growth. The phantom node method is used to model the crack in the continuum region and a molecular statics model is used near the crack tip. To ensure self-consistency in the bulk, a virtual atom cluster is used to model the material of the coarse scale. The coupling between the coarse scale and fine scale is realized through ghost atoms. The ghost atom positions are interpolated from the coarse scale solution and enforced as boundary conditions on the fine scale. The fine scale region is adaptively enlarged as the crack propagates and the region behind the crack tip is adaptively coarsened. An energy criterion is used to detect the crack tip location. The triangular lattice in the fine scale region corresponds to the lattice structure of the (111) plane of an FCC crystal. The Lennard-Jones potential is used to model the atom–atom interactions. The method is implemented in two dimensions. The results are compared to pure atomistic simulations; they show excellent agreement.
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2014
U6  - http://dx.doi.org/10.1007/s00466-013-0952-6
SP  - 1129
EP  - 1148
ER  - 
TY  - JOUR
A1  - Budarapu, Pattabhi Ramaiah
A1  - Gracie, Robert
A1  - Yang, Shih-Wei
A1  - Zhuang, Xiaoying
A1  - Rabczuk, Timon
T1  - Efficient Coarse Graining in Multiscale Modeling of Fracture
JF  - Theoretical and Applied Fracture Mechanics
N2  - Efficient Coarse Graining in Multiscale Modeling of Fracture
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2014
SP  - 126
EP  - 143
ER  - 
TY  - JOUR
A1  - Budarapu, Pattabhi Ramaiah
A1  - Narayana, T.S.S.
A1  - Rammohan, B.
A1  - Rabczuk, Timon
T1  - Directionality of sound radiation from rectangular panels
JF  - Applied Acoustics
N2  - Directionality of sound radiation from rectangular panels
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2015
SP  - 128
EP  - 140
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  - Chen, Lei
A1  - Nguyen-Thanh, Nhon
A1  - Nguyen-Xuan, Hung
A1  - Rabczuk, Timon
A1  - Bordas, Stéphane Pierre Alain
A1  - Limbert, Georges
T1  - Explicit finite deformation analysis of isogeometric membranes
JF  - Computer Methods in Applied Mechanics and Engineering
N2  - Explicit finite deformation analysis of isogeometric membranes
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2014
SP  - 104
EP  - 130
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  - 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  - 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  - 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  - Ghasemi, Hamid
A1  - Brighenti, Roberto
A1  - Zhuang, Xiaoying
A1  - Muthu, Jacob
A1  - Rabczuk, Timon
T1  - Optimum fiber content and distribution in fiber-reinforced solids using a reliability and NURBS based sequential optimization approach
JF  - Structural and Multidisciplinary Optimization
N2  - Optimum _ber content and distribution in _ber-reinforced solids using a reliability and NURBS based sequential optimization approach
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2015
SP  - 99
EP  - 112
ER  - 
TY  - JOUR
A1  - Ghasemi, Hamid
A1  - Brighenti, Roberto
A1  - Zhuang, Xiaoying
A1  - Muthu, Jacob
A1  - Rabczuk, Timon
T1  - Optimization of fiber distribution in fiber reinforced composite by using NURBS functions
JF  - Computational Materials Science
N2  - Optimization of fiber distribution in fiber reinforced composite by using NURBS functions
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2014
SP  - 463
EP  - 473
ER  - 
TY  - JOUR
A1  - Ghasemi, Hamid
A1  - Brighenti, Roberto
A1  - Zhuang, Xiaoying
A1  - Muthu, Jacob
A1  - Rabczuk, Timon
T1  - Sequential reliability based optimization of fiber content and dispersion in fiber reinforced composite by using NURBS finite elements
JF  - Structural and Multidisciplinary Optimization
N2  - Sequential reliability based optimization of fiber content and dispersion in fiber reinforced composite by using NURBS finite elements
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2014
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  - Ghasemi, Hamid
A1  - Rafiee, Roham
A1  - Zhuang, Xiaoying
A1  - Muthu, Jacob
A1  - Rabczuk, Timon
T1  - Uncertainties propagation in metamodel-based probabilistic optimization of CNT/polymer composite structure using stochastic multi-scale modeling
JF  - Computational Materials Science
N2  - Uncertainties propagation in metamodel-based probabilistic optimization of CNT/polymer composite structure using stochastic multi-scale modeling
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2014
SP  - 295
EP  - 305
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  - Ghorashi, Seyed Shahram
A1  - Valizadeh, Navid
A1  - Mohammadi, S.
A1  - Rabczuk, Timon
T1  - T-spline based XIGA for Fracture Analysis of Orthotropic Media
JF  - Computers & Structures
N2  - T-spline based XIGA for Fracture Analysis of Orthotropic Media
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2015
SP  - 138
EP  - 146
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  - 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  - Hamdia, Khader
A1  - Lahmer, Tom
A1  - Nguyen-Thoi, T.
A1  - Rabczuk, Timon
T1  - Predicting The Fracture Toughness of PNCs: A Stochastic Approach Based on ANN and ANFIS
JF  - Computational Materials Science
N2  - Predicting The Fracture Toughness of PNCs: A Stochastic Approach Based on ANN and ANFIS
KW  - Angewandte Mathematik
KW  - Stochastik
KW  - Strukturmechanik
Y1  - 2015
SP  - 304
EP  - 313
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  - 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  - 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  - 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  - 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  - Ilyani Akmar, A.B.
A1  - Lahmer, Tom
A1  - Bordas, Stéphane Pierre Alain
A1  - Beex, L.A.A.
A1  - Rabczuk, Timon
T1  - Uncertainty quantification of dry woven fabrics: A sensitivity analysis on material properties
JF  - Composite Structures
N2  - Uncertainty quantification of dry woven fabrics: A sensitivity analysis on material properties
KW  - Angewandte Mathematik
KW  - Stochastik
KW  - Strukturmechanik
Y1  - 2014
U6  - http://dx.doi.org/10.1016/j.compstruct.2014.04.014
SP  - 1
EP  - 17
ER  - 
TY  - JOUR
A1  - Jamshidian, M.
A1  - Rabczuk, Timon
T1  - Phase field modelling of stressed grain growth: Analytical study and the effect of microstructural length scale
JF  - Journal of Computational Physics
N2  - Phase field modelling of stressed grain growth: Analytical study and the effect of microstructural length scale
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2014
SP  - 23
EP  - 35
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  - Jia, Yue
A1  - Zhang, Yongjie
A1  - Rabczuk, Timon
T1  - A Novel Dynamic Multilevel Technique for Image Registration
JF  - Computers and Mathematics with Applications
N2  - A Novel Dynamic Multilevel Technique for Image Registration
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2015
ER  - 
TY  - JOUR
A1  - Jiang, Jin-Wu
A1  - Park, Harold S.
A1  - Gall, K.
A1  - Leach, A.
A1  - Rabczuk, Timon
T1  - A Surface Stacking Fault Energy Approach to Predicting Defect Nucleation in Surface-Dominated Nanostructures
JF  - Journal of the Mechanics and Physics of Solids
N2  - A Surface Stacking Fault Energy Approach to Predicting Defect Nucleation in Surface-Dominated Nanostructures
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2013
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  - 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  - 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  - 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  - Jiang, Jin-Wu
A1  - Rabczuk, Timon
A1  - Park, Harold S.
T1  - A Stillinger-Weber Potential for Single-Layer Black Phosphorus, and the Importance of Cross-Pucker Interactions for Negative Poisson's Ratio and Edge Stress-Induced Bending
JF  - Nanoscale
N2  - The distinguishing structural feature of single-layered black phosphorus is its puckered structure, which leads to many novel physical properties. In this work, we first present a new parameterization of the Stillinger–Weber potential for single-layered black phosphorus. In doing so, we reveal the importance of a cross-pucker interaction term in capturing its unique mechanical properties, such as a negative Poisson's ratio. In particular, we show that the cross-pucker interaction enables the pucker to act as a re-entrant hinge, which expands in the lateral direction when it is stretched in the longitudinal direction. As a consequence, single-layered black phosphorus has a negative Poisson's ratio in the direction perpendicular to the atomic plane. As an additional demonstration of the impact of the cross-pucker interaction, we show that it is also the key factor that enables capturing the edge stress-induced bending of single-layered black phosphorus that has been reported in ab initio calculations.
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2015
U6  - http://dx.doi.org/10.1039/C4NR07341J
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  - Jiang, Jin-Wu
A1  - Wang, Bing-Shen
A1  - Rabczuk, Timon
T1  - Why twisting angles are diverse in graphene Moir’e patterns?
JF  - Journal of Applied Physics
N2  - Why twisting angles are diverse in graphene Moir’e patterns?
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2013
ER  - 
TY  - JOUR
A1  - Jiang, Jin-Wu
A1  - Wang, Bing-Shen
A1  - Rabczuk, Timon
T1  - Phonon modes in single-walled molybdenum disulphide nanotubes: lattice dynamics calculation and molecular dynamics simulation
JF  - Nanotechnology
N2  - Phonon modes in single-walled molybdenum disulphide nanotubes: lattice dynamics calculation and molecular dynamics simulation
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2014
ER  - 
TY  - JOUR
A1  - Jiang, Jin-Wu
A1  - Zhao, Jun-Hua
A1  - Rabczuk, Timon
T1  - Size-Sensitive Young’s Modulus of Kinked Silicon Nanowires
JF  - Nanotechnology
N2  - We perform both classical molecular dynamics simulations and beam model calculations to investigate the Young's modulus of kinked silicon nanowires (KSiNWs). The Young's modulus is found to be highly sensitive to the arm length of the kink and is essentially inversely proportional to the arm length. The mechanism underlying the size dependence is found to be the interplay between the kink angle potential and the arm length potential, where we obtain an analytic relationship between the Young's modulus and the arm length of the KSiNW. Our results provide insight into the application of this novel building block in nanomechanical devices.
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2013
U6  - http://dx.doi.org/10.1088/0957-4484/24/18/185702
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  - Joshi, Suraj
A1  - Hildebrand, Jörg
A1  - Aloraier, Abdulkareem S.
A1  - Rabczuk, Timon
T1  - Characterization of material properties and heat source parameters in welding simulation of two overlapping beads on a substrate plate
JF  - Computational Materials Science
N2  - This paper presents several aspects of characterization of welding heat source parameters in Goldak’s double ellipsoidal model using Sysweld simulation of welding of two overlapping beads on a substrate steel plate. The overlap percentages ranged from 40% to 80% in increments of 10%. The new material properties of the fused metal were characterized using Weldware and their continuous cooling transformation curves. The convective and radiative heat transfer coefficients as well as the cooling time t8/5 were estimated using numerical formulations from relevant standards. The effects of the simulation geometry and mesh discretization were evaluated in terms of the factor F provided in Sysweld. Eventually, the parameters of Goldak’s double ellipsoidal heat source model were determined for the welding simulation of overlapping beads on the plate and the simulated bead geometry, extent of the molten pool and the HAZ were compared with the macrographs of cross-sections of the experimental weldments. The results showed excellent matching, thus verifying this methodology for determination of welding heat source parameters.
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2014
U6  - http://dx.doi.org/10.1016/j.commatsci.2012.11.029
SP  - 559
EP  - 565
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  - 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  - Kerfriden, Pierre
A1  - Goury, O.
A1  - Rabczuk, Timon
A1  - Bordas, Stéphane Pierre Alain
T1  - A partitioned model order reduction approach to rationalise computational expenses in nonlinear fracture mechanics
JF  - Computer Methods in Applied Mechanics and Engineering
N2  - A partitioned model order reduction approach to rationalise computational expenses in nonlinear fracture mechanics
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2013
SP  - 169
EP  - 188
ER  - 
TY  - JOUR
A1  - Kerfriden, Pierre
A1  - Schmidt, K.M.
A1  - Rabczuk, Timon
A1  - Bordas, Stéphane Pierre Alain
T1  - Statistical extraction of process zones and representative subspaces in fracture of random composites
JF  - International Journal for Multiscale Computational Engineering
N2  - Statistical extraction of process zones and representative subspaces in fracture of random composites
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2013
ER  - 
TY  - JOUR
A1  - Khosravani, M.R.
A1  - Rabczuk, Timon
T1  - Determiniation of shear modulus for double and multi-walled Carbon Nanotubes
JF  - Mechanics of Composite Materials
N2  - Determiniation of shear modulus for double and multi-walled Carbon Nanotubes
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2013
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  - 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  - 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  - 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  - 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  - 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  - 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  - 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  - 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  - 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
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  - 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
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
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  - 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  - Le, C.V.
A1  - Nguyen-Xuan, Hung
A1  - Askes, H.
A1  - Rabczuk, Timon
A1  - Nguyen-Thoi, T.
T1  - Computation of limit load using edge-based smoothed finite element method and second-order cone programming
JF  - International Journal of Computational Methods
N2  - Computation of limit load using edge-based smoothed finite element method and second-order cone programming
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2013
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  - 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  - 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  - 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  - 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  - 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  - 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  - 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  - 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  - 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  - 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  - 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  -