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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 four-node plane EAS-element for stochastic nonlinear materials (2003)
Brehm, Maik ; Most, Thomas
A four-node plane EAS-element for stochastic nonlinear materials
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 multigrid finite element method for the mesoscale analysis of concrete (2004)
Häfner, Stefan ; Könke, Carsten
A multigrid finite element method for the mesoscale analysis of concrete
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 Short Crack Growth Model for the Prediction of Fatigue Lives under Multiaxial Nonproportional Loading (2001)
Döring, R. ; Hoffmeyer, J. ; Seeger, T. ; Vormwald, M.
A Short Crack Growth Model for the Prediction of Fatigue Lives under Multiaxial Nonproportional Loading
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.
Adaptation of the natural element method for crack growth simulations (2004)
Unger, Jörg F. ; Most, Thomas ; Bucher, Christian ; Könke, Carsten
Adaptation of the natural element method for crack growth simulations
Adaptive damage simulation of concrete using heterogeneous multiscale models (2008)
Eckardt, Stefan ; Könke, Carsten
Adaptive damage simulation of concrete using heterogeneous multiscale models
Adaptive excitation for selective sensitivity-based structural identification (2006)
Pham, Hoang Anh
Adaptive excitation for selective sensitivity-based structural identification
Adaptive multiscale methods for fracture (2015)
Budarapu, Pattabhi Ramaiah
One major research focus in the Material Science and Engineering Community in the past decade has been to obtain a more fundamental understanding on the phenomenon 'material failure'. Such an understanding is critical for engineers and scientists developing new materials with higher strength and toughness, developing robust designs against failure, or for those concerned with an accurate estimate of a component's design life. Defects like cracks and dislocations evolve at nano scales and influence the macroscopic properties such as strength, toughness and ductility of a material. In engineering applications, the global response of the system is often governed by the behaviour at the smaller length scales. Hence, the sub-scale behaviour must be computed accurately for good predictions of the full scale behaviour. Molecular Dynamics (MD) simulations promise to reveal the fundamental mechanics of material failure by modeling the atom to atom interactions. Since the atomistic dimensions are of the order of Angstroms ( A), approximately 85 billion atoms are required to model a 1 micro- m^3 volume of Copper. Therefore, pure atomistic models are prohibitively expensive with everyday engineering computations involving macroscopic cracks and shear bands, which are much larger than the atomistic length and time scales. To reduce the computational effort, multiscale methods are required, which are able to couple a continuum description of the structure with an atomistic description. In such paradigms, cracks and dislocations are explicitly modeled at the atomistic scale, whilst a self-consistent continuum model elsewhere. Many multiscale methods for fracture are developed for "fictitious" materials based on "simple" potentials such as the Lennard-Jones potential. Moreover, multiscale methods for evolving cracks are rare. Efficient methods to coarse grain the fine scale defects are missing. However, the existing multiscale methods for fracture do not adaptively adjust the fine scale domain as the crack propagates. Most methods, therefore only "enlarge" the fine scale domain and therefore drastically increase computational cost. Adaptive adjustment requires the fine scale domain to be refined and coarsened. One of the major difficulties in multiscale methods for fracture is to up-scale fracture related material information from the fine scale to the coarse scale, in particular for complex crack problems. Most of the existing approaches therefore were applied to examples with comparatively few macroscopic cracks. Key contributions The bridging scale method is enhanced using the phantom node method so that cracks can be modeled at the coarse scale. To ensure self-consistency in the bulk, a virtual atom cluster is devised providing the response of the intact material at the coarse scale. A molecular statics model is employed in the fine scale where crack propagation is modeled by naturally breaking the bonds. The fine scale and coarse scale models are coupled by enforcing the displacement boundary conditions on the ghost atoms. An energy criterion is used to detect the crack tip location. Adaptive refinement and coarsening schemes are developed and implemented during the crack propagation. The results were observed to be in excellent agreement with the pure atomistic simulations. The developed multiscale method is one of the first adaptive multiscale method for fracture. A robust and simple three dimensional coarse graining technique to convert a given atomistic region into an equivalent coarse region, in the context of multiscale fracture has been developed. The developed method is the first of its kind. The developed coarse graining technique can be applied to identify and upscale the defects like: cracks, dislocations and shear bands. The current method has been applied to estimate the equivalent coarse scale models of several complex fracture patterns arrived from the pure atomistic simulations. The upscaled fracture pattern agree well with the actual fracture pattern. The error in the potential energy of the pure atomistic and the coarse grained model was observed to be acceptable. A first novel meshless adaptive multiscale method for fracture has been developed. The phantom node method is replaced by a meshless differential reproducing kernel particle method. The differential reproducing kernel particle method is comparatively more expensive but allows for a more "natural" coupling between the two scales due to the meshless interpolation functions. The higher order continuity is also beneficial. The centro symmetry parameter is used to detect the crack tip location. The developed multiscale method is employed to study the complex crack propagation. Results based on the meshless adaptive multiscale method were observed to be in excellent agreement with the pure atomistic simulations. The developed multiscale methods are applied to study the fracture in practical materials like Graphene and Graphene on Silicon surface. The bond stretching and the bond reorientation were observed to be the net mechanisms of the crack growth in Graphene. The influence of time step on the crack propagation was studied using two different time steps. Pure atomistic simulations of fracture in Graphene on Silicon surface are presented. Details of the three dimensional multiscale method to study the fracture in Graphene on Silicon surface are discussed.
Adaptive response surface approach for reliability analysis using advanced meta-models (2007)
Most, Thomas ; Bucher, Christian
Adaptive response surface approach for reliability analysis using advanced meta-models
Adaptive response surface approach using artificial neural networks and Moving Least Squares (2006)
Most, Thomas ; Bucher, Christian
Adaptive response surface approach using artificial neural networks and Moving Least Squares
Adaptive Response Surfaces for Structural Reliability of Nonlinear Finite Element Structures (2003)
Roos, Dirk ; Bucher, Christian
Adaptive Response Surfaces for Structural Reliability of Nonlinear Finite Element Structures
Algorithms for structural identification and damage detection of steel-concrete composite bridges (2009)
De Roeck, G. ; Zabel, Volkmar ; Brehm, Maik ; Liu, K. ; Reynders, E.
Algorithms for structural identification and damage detection of steel-concrete composite bridges
Algorithms for vibration-based structural identification and damage detection (2010)
Zabel, Volkmar ; Brehm, Maik
Algorithms for vibration-based structural identification and damage detection
Ambient modal analysis and model updating of a twin composite filler beam railway bridge for high-speed trains with continuous ballast (2008)
Cantieni, Reto ; Brehm, Maik ; Zabel, Volkmar ; Rauert, T. ; Hoffmeister, B.
Ambient modal analysis and model updating of a twin composite filler beam railway bridge for high-speed trains with continuous ballast
Ambient Testing and Model Updating of a Filler Beam Bridge for High-Speed Trains (2008)
Cantieni, Reto ; Brehm, Maik ; Zabel, Volkmar ; Rauert, T. ; Hoffmeister, B.
Ambient Testing and Model Updating of a Filler Beam Bridge for High-Speed Trains
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 response surface approach for reliability analyses of high-dimensional problems (2008)
Most, Thomas
An adaptive response surface approach for reliability analyses of high-dimensional problems
An adaptive response surface approach for structural reliability analyses based on support vector machines (2007)
Most, Thomas
An adaptive response surface approach for structural reliability analyses based on support vector machines
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 Automatic Mode Tracking Strategy for Model Updating Using the Modal Assurance Criterion and Modal Strain Energies (2009)
Brehm, Maik ; Zabel, Volkmar ; Ribeiro, D.
An Automatic Mode Tracking Strategy for Model Updating Using the Modal Assurance Criterion and Modal Strain Energies
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 enhanced moving least squares interpolation for the element-free Galerkin method (2006)
Most, Thomas ; Bucher, Christian
An enhanced moving least squares interpolation for the element-free Galerkin method
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 F-element, composite stress formulation to model muscular tissue in 3D (2004)
Winkel, B.
An F-element, composite stress formulation to model muscular tissue in 3D
An improved cohesive crack model for combined crack opening and sliding under cyclic loading (2006)
Most, Thomas ; Eckardt, Stefan ; Schrader, Kai ; Deckner, T.
An improved cohesive crack model for combined crack opening and sliding under cyclic loading
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
An iterative procedure for model updating based on selective sensitivity (2006)
Pham, Hoang Anh ; Bucher, Christian
An iterative procedure for model updating based on selective sensitivity
Analysis of crack initiation and propagation in polyctystalline meso- and microstructures of metal materials (2006)
Luther, Torsten ; Könke, Carsten
Analysis of crack initiation and propagation in polyctystalline meso- and microstructures of metal materials
Anwendung netzfreier Diskretisierungsverfahren zur stochastischen Rissfortschrittsberechnung (2003)
Most, Thomas
Anwendung netzfreier Diskretisierungsverfahren zur stochastischen Rissfortschrittsberechnung
Application of a hybrid parallelisation technique to accelerate the numerical simulation of nonlinear mechanical problems (2004)
Most, Thomas ; Eckardt, Stefan
Application of a hybrid parallelisation technique to accelerate the numerical simulation of nonlinear mechanical problems
Application of an adaptive response surface approach for efficient structural reliability analysis (2006)
Most, Thomas ; Bucher, Christian
Application of an adaptive response surface approach for efficient structural reliability analysis
Application of an Atom Continuum Model in Process of Damage Simulation on Multiple Length Scales (2008)
Luther, Torsten ; Könke, Carsten
Application of an Atom Continuum Model in Process of Damage Simulation on Multiple Length Scales
Application of approximate response functions in structural reliability analysis (2006)
Bucher, Christian ; Most, Thomas
Application of approximate response functions in structural reliability analysis
Application of fast wavelet transformation in parametric system identification (2005)
Markwardt, Klaus
Application of fast wavelet transformation in parametric system identification
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
Application of the "Fictitious Crack Model" to meshless crack growth simulations (2003)
Most, Thomas ; Bucher, Christian
Application of the "Fictitious Crack Model" to meshless crack growth simulations
Applications of biorthogonal wavelets in system identification (2004)
Brehm, Maik ; Zabel, Volkmar ; Markwardt, Klaus
Applications of biorthogonal wavelets in system identification
Applications of Wavelet Packets in System Identifikation (2005)
Brehm, Maik ; Zabel, Volkmar ; Markwardt, Klaus
Applications of Wavelet Packets in System Identifikation
Approximation of constitutive parameters for material models using artificial neural networks (2007)
Most, Thomas ; Hofstetter, G. ; Hofmann, Markus ; Novák, D. ; Lehký, D.
Approximation of constitutive parameters for material models using artificial neural networks
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
Bayesian reliability updating using system identification based on selective sensitivity (2004)
Bucher, Christian ; Pham, Hoang Anh
Bayesian reliability updating using system identification based on selective sensitivity
Betrachtungen zur Anwendung der Wavelet- Transformation in der Systemidentifikation (2000)
Markwardt, Klaus ; Zabel, Volkmar
Betrachtungen zur Anwendung der Wavelet- Transformation in der Systemidentifikation
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
Biorthogonale Waveletsysteme in der Parameteridentifikation (2003)
Markwardt, Klaus
Biorthogonale Waveletsysteme in der Parameteridentifikation
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.
Climatic influences on the dynamics of railway bridges with steel girders embedded in concrete (2007)
Zabel, Volkmar ; Brehm, Maik ; Bucher, Christian
Climatic influences on the dynamics of railway bridges with steel girders embedded in concrete
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
Combined approach for optimal sensor placement and experimental verification in the context of tower-like structures (2020)
Reichert, Ina ; Olney, Peter ; Lahmer, Tom
When it comes to monitoring of huge structures, main issues are limited time, high costs and how to deal with the big amount of data. In order to reduce and manage them, respectively, methods from the field of optimal design of experiments are useful and supportive. Having optimal experimental designs at hand before conducting any measurements is leading to a highly informative measurement concept, where the sensor positions are optimized according to minimal errors in the structures’ models. For the reduction of computational time a combined approach using Fisher Information Matrix and mean-squared error in a two-step procedure is proposed under the consideration of different error types. The error descriptions contain random/aleatoric and systematic/epistemic portions. Applying this combined approach on a finite element model using artificial acceleration time measurement data with artificially added errors leads to the optimized sensor positions. These findings are compared to results from laboratory experiments on the modeled structure, which is a tower-like structure represented by a hollow pipe as the cantilever beam. Conclusively, the combined approach is leading to a sound experimental design that leads to a good estimate of the structure’s behavior and model parameters without the need of preliminary measurements for model updating.
Comparison of Modal- and Wavelet-Based Damage Indicators (2008)
Brehm, Maik ; Zabel, Volkmar
Comparison of Modal- and Wavelet-Based Damage Indicators
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 analysis of maintenance interventions for deteriorating structures (2007)
Higuchi, Shoko ; Macke, M.
Cost-benefit analysis 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
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
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