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  -