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A cell-based smoothed finite element method for three dimensional solid structures (2014)
Nguyen-Xuan, Hung ; Nguyen, Hiep Vinh ; Bordas, Stéphane Pierre Alain ; Rabczuk, Timon ; Duflot, Marc
This paper extends further the strain smoothing technique in finite elements to 8-noded hexahedral elements (CS-FEM-H8). The idea behind the present method is similar to the cell-based smoothed 4-noded quadrilateral finite elements (CS-FEM-Q4). In CSFEM, the smoothing domains are created based on elements, and each element can be further subdivided into 1 or several smoothing cells. It is observed that: 1) The CS-FEM using a single smoothing cell can produce higher stress accuracy, but insufficient rank and poor displacement accuracy; 2) The CS-FEM using several smoothing cells has proper rank, good displacement accuracy, but lower stress accuracy, especially for nearly incompressible and bending dominant problems. We therefore propose 1) an extension of strain smoothing to 8-noded hexahedral elements and 2) an alternative CS-FEM form, which associates the single smoothing cell issue with multi-smoothing cell one via a stabilization technique. Several numerical examples are provided to show the reliability and accuracy of the present formulation.
A comparative study of two molecular mechanics models based on harmonic potentials (2013)
Zhao, Jun-Hua ; Wang, L. ; Jiang, Jin-Wu ; Wang, Z. ; Guo, Wanlin ; Rabczuk, Timon
A comparative study of two molecular mechanics models based on harmonic potentials
A comparison of approximate response functions in structural reliability analysis (2008)
Bucher, Christian ; Most, Thomas
A comparison of approximate response functions in structural reliability analysis
A computational library for multiscale modeling of material failure (2014)
Talebi, Hossein ; Silani, Mohammad ; Bordas, Stéphane Pierre Alain ; Kerfriden, Pierre ; Rabczuk, Timon
A computational library for multiscale modeling of material failure
A coupled thermo-hydro-mechanical model of jointed hard rock for compressed air energy storage (2014)
Zhuang, Xiaoying ; Huang, Runqiu ; Rabczuk, Timon ; Liang, C.
A coupled thermo-hydro-mechanical model of jointed hard rock for compressed air energy storage
A dynamic XFEM formulation for crack identification (2016)
Zhang, Chao ; Wang, Cuixia ; Lahmer, Tom ; He, Pengfei ; Rabczuk, Timon
A dynamic XFEM formulation for crack identification
A Meshless Adaptive Multiscale Method for Fracture (2015)
Yang, Shih-Wei ; Budarapu, Pattabhi Ramaiah ; Mahapatra, D.R. ; Bordas, Stéphane Pierre Alain ; Zi, Goangseup ; Rabczuk, Timon
A Meshless Adaptive Multiscale Method for Fracture
A moving least squares weighting function for the element-free Galerkin method which almost fulfills essential boundary conditions (2005)
Most, Thomas ; Bucher, Christian
A moving least squares weighting function for the element-free Galerkin method which almost fulfills essential boundary conditions
A natural neighbour-based moving least-squares approach for the element-free Galerkin method (2007)
Most, Thomas
A natural neighbour-based moving least-squares approach for the element-free Galerkin method
A node-based smoothed finite element method (NS-FEM) for analysis of Reissner-Mindlin plates (2010)
Nguyen-Xuan, Hung ; Rabczuk, Timon ; Nguyen-Thanh, Nhon ; Nguyen-Thoi, T. ; Bordas, Stéphane Pierre Alain
A node-based smoothed finite element method (NS-FEM) for analysis of Reissner-Mindlin plates
A Novel Dynamic Multilevel Technique for Image Registration (2015)
Jia, Yue ; Zhang, Yongjie ; Rabczuk, Timon
A Novel Dynamic Multilevel Technique for Image Registration
A novel parameter identification approach for buffer elements involving complex coupled thermo-hydro-mechanical analyses (2016)
Nguyen-Tuan, Long ; Lahmer, Tom ; Datcheva, Maria ; Stoimenova, Eugenia ; Schanz, Tom
A novel parameter identification approach for buffer elements involving complex coupled thermo-hydro-mechanical analyses
A partitioned model order reduction approach to rationalise computational expenses in nonlinear fracture mechanics (2013)
Kerfriden, Pierre ; Goury, O. ; Rabczuk, Timon ; Bordas, Stéphane Pierre Alain
A partitioned model order reduction approach to rationalise computational expenses in nonlinear fracture mechanics
A plasticity model for calculating stress–strain sequences under multiaxial nonproportional cyclic loading (2003)
Döring, R. ; Hoffmeyer, J. ; Seeger, T. ; Vormwald, M.
A plasticity model for calculating stress–strain sequences under multiaxial nonproportional cyclic loading
A Semi-Concurrent Multiscale Approach for Modeling Damage in Nanocomposites (2014)
Silani, Mohammad ; Ziaei-Rad, S. ; Talebi, Hossein ; Rabczuk, Timon
A Semi-Concurrent Multiscale Approach for Modeling Damage in Nanocomposites
A semi-implicit _nite strain shell algorithm using in-plane strains based on least-squares (2015)
Areias, Pedro ; Rabczuk, Timon ; Cesar de Sa, J.M. ; Jorge, R.N.
A semi-implicit _nite strain shell algorithm using in-plane strains based on least-squares
A simple circular cell method for multilevel finite element analysis (2012)
Talebi, Hossein ; Zi, Goangseup ; Silani, Mohammad ; Samaniego, Esteban ; Rabczuk, Timon
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.
A smoothed finite element method for the static and free vibration analysis of shells (2010)
Nguyen-Thanh, Nhon ; Thai-Hoang, C. ; Nguyen-Xuan, Hung ; Rabczuk, Timon
A smoothed finite element method for the static and free vibration analysis of shells
A software framework for probabilistic sensitivity analysis for computationally expensive models (2016)
Vu-Bac, N. ; Lahmer, Tom ; Zhuang, Xiaoying ; Nguyen-Thoi, T. ; Rabczuk, Timon
A software framework for probabilistic sensitivity analysis for computationally expensive models
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 (2015)
Jiang, Jin-Wu ; Rabczuk, Timon ; Park, Harold S.
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.
A stochastic computational method based on goal-oriented error estimation for heterogeneous geological materials (2016)
Ghorashi, Seyed Shahram ; Lahmer, Tom ; Bagherzadeh, Amir Saboor ; Zi, Goangseup ; Rabczuk, Timon
A stochastic computational method based on goal-oriented error estimation for heterogeneous geological materials
A Surface Stacking Fault Energy Approach to Predicting Defect Nucleation in Surface-Dominated Nanostructures (2013)
Jiang, Jin-Wu ; Park, Harold S. ; Gall, K. ; Leach, A. ; Rabczuk, Timon
A Surface Stacking Fault Energy Approach to Predicting Defect Nucleation in Surface-Dominated Nanostructures
A theoretical analysis of cohesive energy between carbon nanotubes, graphene and substrates (2014)
Zhao, Jun-Hua ; Jiang, Jin-Wu ; Jia, Yue ; Guo, Wanlin ; Rabczuk, Timon
Explicit solutions for the cohesive energy between carbon nanotubes, graphene and substrates are obtained through continuum modeling of the van der Waals interaction between them. The dependence of the cohesive energy on their size, spacing and crossing angles is analyzed. Checking against full atom molecular dynamics calculations and available experimental results shows that the continuum solution has high accuracy. The equilibrium distances between the nanotubes, graphene and substrates with minimum cohesive energy are also provided explicitly. The obtained analytical solution should be of great help for understanding the interaction between the nanostructures and substrates, and designing composites and nanoelectromechanical systems.
A three dimensional Extended Arlequin Method for Dynamic Fracture (2015)
Silani, Mohammad ; Talebi, Hossein ; Ziaei-Rad, S. ; Hamouda, A.M.S. ; Zi, Goangseup ; Rabczuk, Timon
A three dimensional Extended Arlequin Method for Dynamic Fracture
A unified framework for stochastic predictions of Young's modulus of clay/epoxy nanocomposites (PCNs) (2015)
Vu-Bac, N. ; Silani, Mohammad ; Lahmer, Tom ; Zhuang, Xiaoying ; Rabczuk, Timon
A unified framework for stochastic predictions of Young's modulus of clay/epoxy nanocomposites (PCNs)
ABAQUS implementation of phase_field model for brittle fracture (2015)
Msekh, Mohammed Abdulrazzak ; Sargado, M. ; Jamshidian, M. ; Areias, Pedro ; Rabczuk, Timon
ABAQUS implementation of phase_field model for brittle fracture
Acoustic and breathing phonon modes in bilayer graphene with Moire-acute patterns (2012)
Jiang, Jin-Wu ; Wang, Bing-Shen ; Rabczuk, Timon
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.
Adaptive damage simulation of concrete using heterogeneous multiscale models (2008)
Eckardt, Stefan ; Könke, Carsten
Adaptive damage simulation of concrete using heterogeneous multiscale models
An adaptive multiscale method for quasi-static crack growth (2014)
Budarapu, Pattabhi Ramaiah ; Gracie, Robert ; Bordas, Stéphane Pierre Alain ; Rabczuk, Timon
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.
An adaptive singular ES-FEM for mechanics problems with singular field of arbitrary order (2013)
Nguyen-Xuan, Hung ; Liu, G.R. ; Bordas, Stéphane Pierre Alain ; Natarajan, S. ; Rabczuk, Timon
An adaptive singular ES-FEM for mechanics problems with singular field of arbitrary order
An adaptive three-dimensional RHT-splines formulation in linear elasto-statics and elasto-dynamics (2014)
Nguyen-Thanh, Nhon ; Muthu, Jacob ; Zhuang, Xiaoying ; Rabczuk, Timon
An adaptive three-dimensional RHT-splines formulation in linear elasto-statics and elasto-dynamics
An alternative alpha finite element method (A?FEM) free and forced vibration analysis of solids using triangular meshes (2009)
Nguyen-Thanh, Nhon ; Rabczuk, Timon ; Nguyen-Xuan, Hung ; Bordas, Stéphane Pierre Alain
An alternative alpha finite element method (A?FEM) free and forced vibration analysis of solids using triangular meshes
An alternative alpha finite element method with stabilized discrete shear gap technique for analysis of Mindlin-Reissner plates (2011)
Nguyen-Thanh, Nhon ; Rabczuk, Timon ; Nguyen-Xuan, Hung ; Bordas, Stéphane Pierre Alain
An alternative alpha finite element method with stabilized discrete shear gap technique for analysis of Mindlin-Reissner plates
An alternative formulation for quasi-static frictional and cohesive contact problems (2014)
Areias, Pedro ; Pinto da Costa, A. ; Rabczuk, Timon ; Queiros de Melo, F. J. M. ; Dias-da-Costa, D.
An alternative formulation for quasi-static frictional and cohesive contact problems
An analytical molecular mechanics model for the elastic properties of crystalline polyethylene (2012)
Zhao, Jun-Hua ; Guo, Wanlin ; Rabczuk, Timon
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.
An analytical solution on the interface debonding for large diameter carbon nanotube-reinforced composite with functionally graded variation interphase (2013)
Zhang, Yancheng ; Zhao, Jun-Hua ; Jia, Yue ; Mabrouki, Tarek ; Gong, Yadong ; Wei, Ning ; Rabczuk, Timon
An analytical solution on the interface debonding for large diameter carbon nanotube-reinforced composite with functionally graded variation interphase
An application of discrete wavelet analysis and connection coefficients to parametric system identification (2005)
Zabel, Volkmar
An application of discrete wavelet analysis and connection coefficients to parametric system identification
An application of the ES-FEM in solid domain for dynamic analysis of 2D fluid-solid interaction problems (2013)
Nguyen-Thoi, T. ; Phung-Van, P. ; Rabczuk, Timon ; Nguyen-Xuan, Hung ; Le-Van, C.
An application of the ES-FEM in solid domain for dynamic analysis of 2D fluid-solid interaction problems
An automatic mode pairing strategy using an enhanced modal assurance citerion based on modal strain energies (2010)
Brehm, Maik ; Zabel, Volkmar ; Bucher, Christian
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.
An edge-based smoothed finite element method for analysis of laminated composite plates (2013)
Phan-Dao, H. ; Nguyen-Xuan, Hung ; Thai-Hoang, C. ; Nguyen-Thoi, T. ; Rabczuk, Timon
An edge-based smoothed finite element method for analysis of laminated composite plates
An extended isogeometric thin shell analysis based on Kirchhoff-Love theory (2015)
Nguyen-Thanh, Nhon ; Valizadeh, N. ; Nguyen, Manh Hung ; Nguyen-Xuan, Hung ; Zhuang, Xiaoying ; Areias, Pedro ; Zi, Goangseup ; Bazilevs, Yuri ; De Lorenzis, Laura ; Rabczuk, Timon
An extended isogeometric thin shell analysis based on Kirchho_-Love theory
An Isogeometric Boundary Element Method for elastostatic analysis (2012)
Simpson, R. ; Bordas, Stéphane Pierre Alain ; Trevelyan, J. ; Kerfriden, Pierre ; Rabczuk, Timon
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.
An isogeometric collocation method using superconvergent points (2015)
Anitescu, C. ; Jia, Yue ; Zhang, Yongjie ; Rabczuk, Timon
An isogeometric collocation method using superconvergent points
Application of goal-oriented error estimation and adaptive mesh refinement on thermo-mechanical multifield problems (2015)
Rabizadeh, E. ; Saboor Bagherzadeh, Amir ; Rabczuk, Timon
Application of goal-oriented error estimation and adaptive mesh re_nement on thermo-mechanical multi_eld problems
Assumed-metric spherically-interpolated quadrilateral shell element (2013)
Areias, Pedro ; Rabczuk, Timon ; Dias-da-Costa, D.
Assumed-metric spherically-interpolated quadrilateral shell element
Asymmetric Shell Elements Based on a Corrected Updated-Lagrangian Approach (2013)
Areias, Pedro ; Rabczuk, Timon ; Dias-da-Costa, D.
Asymmetric Shell Elements Based on a Corrected Updated-Lagrangian Approach
Bewertungsmethoden für Modelle des konstruktiven Ingenieurbaus (2011)
Lahmer, Tom ; Knabe, Tina ; Nikulla, Susanne ; Reuter, Markus
Bewertungsmethoden für Modelle des konstruktiven Ingenieurbaus
Binding energy and mechanical stability of single- and multi-walled carbon nanotube serpentines (2014)
Zhao, Jun-Hua ; Lu, Lixin ; Rabczuk, Timon
Binding energy and mechanical stability of single- and multi-walled carbon nanotube serpentines
Binding energy and mechanical stability of two parallel and crossing carbon nanotubes (2015)
Zhao, Jun-Hua ; Jia, Yue ; Wei, Ning ; Rabczuk, Timon
Binding energy and mechanical stability of two parallel and crossing carbon nanotubes
Characterization of material properties and heat source parameters in welding simulation of two overlapping beads on a substrate plate (2014)
Joshi, Suraj ; Hildebrand, Jörg ; Aloraier, Abdulkareem S. ; Rabczuk, Timon
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.
Coarse-grained potentials of single-walled carbon nanotubes (2014)
Zhao, Jiyun ; Jiang, Jin-Wu ; Wang, L. ; Guo, Wanlin ; Rabczuk, Timon
Coarse-grained potentials of single-walled carbon nanotubes
Computation of limit and shakedown loads using a node-based smoothed finite element method (2012)
Nguyen-Xuan, Hung ; Rabczuk, Timon ; Nguyen-Thoi, T. ; Tran, T. ; Nguyen-Thanh, Nhon
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.
Computation of limit load using edge-based smoothed finite element method and second-order cone programming (2013)
Le, C.V. ; Nguyen-Xuan, Hung ; Askes, H. ; Rabczuk, Timon ; Nguyen-Thoi, T.
Computation of limit load using edge-based smoothed finite element method and second-order cone programming
Conceptual implementation of the variance-based sensitivity analysis for the calculation of the first-order effects (2016)
Marzban, Samira ; Lahmer, Tom
Conceptual implementation of the variance-based sensitivity analysis for the calculation of the first-order effects
Concurrent Multiscale Modelling of Three Dimensional Crack and Dislocation Propagation (2015)
Talebi, Hossein ; Silani, Mohammad ; Rabczuk, Timon
Concurrent Multiscale Modelling of Three Dimensional Crack and Dislocation Propagation
Continuum modeling of the cohesive energy for the interfaces between _lms, spheres, coats and substrates (2015)
Zhao, Jun-Hua ; Lu, Lixin ; Zhang, Zhiliang ; Guo, Wanlin ; Rabczuk, Timon
Continuum modeling of the cohesive energy for the interfaces between _lms, spheres, coats and substrates
Cost-benefit analysis for the optimal rehabilitation of deteriorating structures (2008)
Higuchi, Shoko ; Macke, M.
Cost-benefit analysis for the optimal rehabilitation of deteriorating structures
Cost-benefit based optimization of maintenance interventions for deteriorating structures (2007)
Higuchi, Shoko ; Macke, M.
Cost-benefit based optimization of maintenance interventions for deteriorating structures
Cost-benefit based optimization of maintenance interventions for deteriorating structures (2007)
Higuchi, Shoko ; Macke, M.
Cost-benefit based optimization of maintenance interventions for deteriorating structures
Coulomb frictional contact by explicit projection in the cone for _nite displacement quasi-static problems (2015)
Areias, Pedro ; Rabczuk, Timon ; Queiros de Melo, F. J. M. ; Cesar de Sa, J.M.
Coulomb frictional contact by explicit projection in the cone for _nite displacement quasi-static problems
Coupled cohesive zone representations from 3D quasicontinuum simulation on aluminum grain boundaries (2010)
Luther, Torsten ; Könke, Carsten
Coupled cohesive zone representations from 3D quasicontinuum simulation on aluminum grain boundaries
Coupling of scales in a multiscale simulation using neural networks (2008)
Unger, Jörg F. ; Könke, Carsten
Coupling of scales in a multiscale simulation using neural networks
Crack identification in hydro-mechanical systems with applications to gravity water dams (2010)
Lahmer, Tom
Crack identification in hydro-mechanical systems with applications to gravity water dams
Damage detection of a prestressed concrete beam using modal strains (2005)
Unger, Jörg F. ; Teughels, A. ; De Roeck, G.
Damage detection of a prestressed concrete beam using modal strains
Das dynamische Verhalten von Eisenbahnbrücken mit kurzer Spannweite - numerische und experimentelle Untersuchungen (2008)
Zabel, Volkmar ; Brehm, Maik
Das dynamische Verhalten von Eisenbahnbrücken mit kurzer Spannweite - numerische und experimentelle Untersuchungen
Detection of flaws in piezoelectric structures using extended FEM (2013)
Nanthakumar, S.S. ; Lahmer, Tom ; Rabczuk, Timon
Detection of flaws in piezoelectric structures using extended FEM
Detection of material interfaces using a regularized level set method in piezoelectric structures (2016)
Nanthakumar, S.S. ; Lahmer, Tom ; Zhuang, Xiaoying ; Zi, Goangseup ; Rabczuk, Timon
Detection of material interfaces using a regularized level set method in piezoelectric structures
Detection of material interfaces using a regularized level set method in piezoelectric structures (2015)
Nanthakumar, S.S. ; Lahmer, Tom ; Zhuang, Xiaoying ; Zi, Goangseup ; Rabczuk, Timon
Detection of material interfaces using a regularized level set method in piezoelectric structures
Detection of multiple flaws in piezoelectric structures using XFEM and level sets (2014)
Nanthakumar, S.S. ; Lahmer, Tom ; Rabczuk, Timon
Detection of multiple flaws in piezoelectric structures using XFEM and level sets
Detection of multiple flaws in piezoelectric structures using XFEM and level sets (2016)
Nanthakumar, S.S. ; Lahmer, Tom ; Rabczuk, Timon
Detection of multiple flaws in piezoelectric structures using XFEM and level sets
Determiniation of shear modulus for double and multi-walled Carbon Nanotubes (2013)
Khosravani, M.R. ; Rabczuk, Timon
Determiniation of shear modulus for double and multi-walled Carbon Nanotubes
Directionality of sound radiation from rectangular panels (2015)
Budarapu, Pattabhi Ramaiah ; Narayana, T.S.S. ; Rammohan, B. ; Rabczuk, Timon
Directionality of sound radiation from rectangular panels
Discussion on Almost sure stability of stochastic linear systems with ergodic parameters (2008)
Most, Thomas ; Ishii, H. ; Geng, X. ; Bolzern, P. ; Colaneri, P. ; De Nicolao, G.
Discussion on Almost sure stability of stochastic linear systems with ergodic parameters
Distributed computing for the nonlinear analysis of multiphase composites (2013)
Schrader, Kai ; Könke, Carsten
Distributed computing for the nonlinear analysis of multiphase composites
Dynamic stability analysis of non-linear structures with geometrical imperfections under random loading (2004)
Most, Thomas ; Bucher, Christian ; Schorling, York
Dynamic stability analysis of non-linear structures with geometrical imperfections under random loading
Effects of the dispersion of polymer wrapped two neighbouring single walled carbon nanotubes (SWNTs) on nanoengineering load transfer (2013)
Zhang, Yancheng ; Zhao, Jiyun ; Wei, Ning ; Jiang, Jin-Wu ; Rabczuk, Timon
Effects of the dispersion of polymer wrapped two neighbouring single walled carbon nanotubes (SWNTs) on nanoengineering load transfer
Efficient Coarse Graining in Multiscale Modeling of Fracture (2014)
Budarapu, Pattabhi Ramaiah ; Gracie, Robert ; Yang, Shih-Wei ; Zhuang, Xiaoying ; Rabczuk, Timon
Efficient Coarse Graining in Multiscale Modeling of Fracture
Energy-based simulation of concrete cracking using an improved mixed-mode cohesive crack model within a meshless discretization (2007)
Most, Thomas ; Bucher, Christian
Energy-based simulation of concrete cracking using an improved mixed-mode cohesive crack model within a meshless discretization
Enhanced homogenization technique for magnetomechanical systems using the generalized finite element method (2009)
Hauck, A. ; Lahmer, Tom ; Kaltenbacher, Manfred
Enhanced homogenization technique for magnetomechanical systems using the generalized finite element method
Enhancing the mass sensitivity of graphene nanoresonators via nonlinear oscillations: The effective strain mechanism (2012)
Jiang, Jin-Wu ; Park, Harold S. ; Rabczuk, Timon
Enhancing the mass sensitivity of graphene nanoresonators via nonlinear oscillations: The effective strain mechanism
Error estimate and adaptive refinement in Mixed Discrete Least Squares Meshless method (2014)
Amani, Jafar ; Bagherzadeh, Amir Saboor ; Rabczuk, Timon
Error estimate and adaptive refinement in Mixed Discrete Least Squares Meshless method
Evaluation of coupled partial models in structural engineering using graph theory and sensitivity analysis (2011)
Keitel, Holger ; Karaki, Ghada ; Lahmer, Tom ; Nikulla, Susanne ; Zabel, Volkmar
Evaluation of coupled partial models in structural engineering using graph theory and sensitivity analysis
Evaluation of fatigue of fillet welded joints in vehicle components under multiaxial service loads (2003)
Savaidis, G. ; Savaidis, A. ; Schliebner, R. ; Vormwald, M.
Evaluation of fatigue of fillet welded joints in vehicle components under multiaxial service loads
Explicit finite deformation analysis of isogeometric membranes (2014)
Chen, Lei ; Nguyen-Thanh, Nhon ; Nguyen-Xuan, Hung ; Rabczuk, Timon ; Bordas, Stéphane Pierre Alain ; Limbert, Georges
Explicit finite deformation analysis of isogeometric membranes
Extended Finite Element Method for Dynamic Fracture of Piezo-Electric Materials (2012)
Nguyen-Vinh, H. ; Bakar, I. ; Msekh, Mohammed Abdulrazzak ; Song, Jeong-Hoon ; Muthu, Jacob ; Zi, Goangseup ; Le, P. ; Bordas, Stéphane Pierre Alain ; Simpson, R. ; Natarajan, S. ; Lahmer, Tom ; Rabczuk, Timon
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.
Extended finite element method with edge-based strain smoothing (ESm-XFEM) for linear elastic crack growth (2012)
Chen, Lei ; Rabczuk, Timon ; Liu, G.R. ; Zeng, K.Y. ; Kerfriden, Pierre ; Bordas, Stéphane Pierre Alain
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.
Extended Isogeometric Analysis for Material Interface Problems (2014)
Jia, Yue ; Anitescu, C. ; Ghorashi, Seyed Shahram ; Rabczuk, Timon ; Dias-da-Costa, D.
Extended Isogeometric Analysis for Material Interface Problems
Fem-based determination of real and complex elastic, dielectric, and piezoelectric moduli in piezoceramic materials (2008)
Lahmer, Tom ; Kaltenbacher, Manfred ; Kaltenbacher, Barbara ; Lerch, Reinhard ; Leder, Erich
Fem-based determination of real and complex elastic, dielectric, and piezoelectric moduli in piezoceramic materials.
Finite strain fracture of 2D problems with injected anisotropic softening elements (2014)
Areias, Pedro ; Rabczuk, Timon ; Camanho, P.P.
Finite strain fracture of 2D problems with injected anisotropic softening elements
Finite strain fracture of plates and shells with configurational forces and edge rotation (2013)
Areias, Pedro ; Rabczuk, Timon
Finite strain fracture of plates and shells with configurational forces and edge rotation
Finite strain quadrilateral shell using least-squares _t of relative Lagrangian in-plane strains (2015)
Areias, Pedro ; Rabczuk, Timon ; Cesar de Sa, J.M. ; Garcao, J.E.
Finite strain quadrilateral shell using least-squares _t of relative Lagrangian in-plane strains
Free and forced vibration analysis using the n-sided polygonal cell-based smoothed finite element method (nCS-FEM) (2013)
Nguyen-Thoi, T. ; Phung-Van, P. ; Rabczuk, Timon ; Nguyen-Xuan, Hung ; Le-Van, C.
Free and forced vibration analysis using the n-sided polygonal cell-based smoothed finite element method (nCS-FEM)
Free vibration analysis of cracked Mindlin plate using an extended cell-based smoothed discrete shear gap method (XCS-DSG3) (2014)
Nguyen-Thoi, T. ; Rabczuk, Timon ; Lam-Phat, T. ; Ho-Huu, V. ; Phung-Van, P.
Free vibration analysis of cracked Mindlin plate using an extended cell-based smoothed discrete shear gap method (XCS-DSG3)
Global and local sensitivity analyses for coupled thermo‐hydro‐mechanical problems (2016)
Nguyen-Tuan, Long ; Lahmer, Tom ; Datcheva, Maria ; Schanz, Tom
Global and local sensitivity analyses for coupled thermo‐hydro‐mechanical problems
Global Sensitivity Analysis of Reinforced Concrete Walls Subjected to Standard Fire - A Comparison of Methods (2017)
Achenbach, Marcus ; Lahmer, Tom ; Morgenthal, Guido
Global Sensitivity Analysis of Reinforced Concrete Walls Subjected to Standard Fire—A Comparison of Methods
High-quality construction of analysis-suitable trivariate NURBS solids by reparameterization methods (2014)
Xu, G. ; Mourrain, B. ; Galligo, A. ; Rabczuk, Timon
High-quality construction of analysis-suitable trivariate NURBS solids by reparameterization methods
Hot-spot stress evaluation of fatigue in welded structural connections supported by finite element analysis (2000)
Savaidis, G. ; Vormwald, M.
Hot-spot stress evaluation of fatigue in welded structural connections supported by finite element analysis
Hybrid computing models for large-scale heterogeneous 3d microstructures (2011)
Schrader, Kai ; Könke, Carsten
Hybrid computing models for large-scale heterogeneous 3d microstructures
H∞ optimization of fluid viscous dampers for reducing vibrations of high-speed railway bridges (2014)
Luu, M. ; Martinez-Rodrigo, M.D. ; Zabel, Volkmar ; Könke, Carsten
H∞ optimization of fluid viscous dampers for reducing vibrations of high-speed railway bridges
Identification of constitutive parameters of soil using an optimization strategy and statistical analysis (2013)
Knabe, Tina ; Datcheva, Maria ; Lahmer, Tom ; Cotecchia, F. ; Schanz, Tom
Identification of constitutive parameters of soil using an optimization strategy and statistical analysis
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