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Why twisting angles are diverse in graphene Moir’e patterns? (2013)
Jiang, Jin-Wu ; Wang, Bing-Shen ; Rabczuk, Timon
Why twisting angles are diverse in graphene Moir’e patterns?
Verformungsverhalten und rechnerische Abschätzung der Ermüdungslebensdauer metallischer Werkstoffe unter mehrachsig nichtproportionaler Beanspruchung (2002)
Döring, R. ; Hoffmeyer, J. ; Seeger, T. ; Vormwald, M.
Verformungsverhalten und rechnerische Abschätzung der Ermüdungslebensdauer metallischer Werkstoffe unter mehrachsig nichtproportionaler Beanspruchung
Variance-based sensitivity analyses of piezoelectric models (2015)
Lahmer, Tom ; Ilg, J. ; Lerch, Reinhard
Variance-based sensitivity analyses of piezoelectric models
Uncertainty quantification of dry woven fabrics: A sensitivity analysis on material properties (2014)
Ilyani Akmar, A.B. ; Lahmer, Tom ; Bordas, Stéphane Pierre Alain ; Beex, L.A.A. ; Rabczuk, Timon
Uncertainty quantification of dry woven fabrics: A sensitivity analysis on material properties
Uncertainty quantification for multiscale modeling of polymer nanocomposites with correlated parameters (2015)
Vu-Bac, N. ; Rafiee, Roham ; Zhuang, Xiaoying ; Lahmer, Tom ; Rabczuk, Timon
Uncertainty quantification for multiscale modeling of polymer nanocomposites with correlated parameters
Uncertainty analysis in multiscale modeling of concrete based on continuum micromechanics (2017)
Göbel, Luise ; Lahmer, Tom ; Osburg, Andrea
Uncertainty analysis in multiscale modeling of concrete based on continuum micromechanics
Uncertainties propagation in metamodel-based probabilistic optimization of CNT/polymer composite structure using stochastic multi-scale modeling (2014)
Ghasemi, Hamid ; Rafiee, Roham ; Zhuang, Xiaoying ; Muthu, Jacob ; Rabczuk, Timon
Uncertainties propagation in metamodel-based probabilistic optimization of CNT/polymer composite structure using stochastic multi-scale modeling
Topology optimization of piezoelectric nanostructures (2016)
Nanthakumar, S.S. ; Lahmer, Tom ; Zhuang, Xiaoying ; Park, Harold S. ; Rabczuk, Timon
Topology optimization of piezoelectric nanostructures
Thermo-hydro-mechanische 3-D-Simulation von Staumauern‐Modellierung und Validierung (2016)
Lahmer, Tom ; Nguyen-Tuan, Long ; Könke, Carsten ; Bettzieche, Volker
Thermo-hydro-mechanische 3-D-Simulation von Staumauern‐Modellierung und Validierung
The tensile and shear failure behavior dependence on chain length and temperature in amorphous polymers (2015)
Zhao, Jiyun ; Lu, Lixin ; Rabczuk, Timon
The tensile and shear failure behavior dependence on chain length and temperature in amorphous polymers
The interface strength and debonding for composite structures: review and recent developments (2015)
Ben, S. ; Zhao, Jun-Hua ; Zhang, Yancheng ; Rabczuk, Timon
The interface strength and debonding for composite structures: review and recent developments
The extended unsymmetric frontal solution for multiple-point constraints (2014)
Areias, Pedro ; Rabczuk, Timon ; Barbosa, J.I.
The extended unsymmetric frontal solution for multiple-point constraints
The development of a damage tolerance concept for railway components and its demonstration for a railway axle (2005)
Zerbst, U. ; Vormwald, M. ; Andersch, C. ; Mädler, K. ; Pfuff, M.
The development of a damage tolerance concept for railway components and its demonstration for a railway axle
Tension-induced phase transition of single-layer molybdenum disulphide (MoS2) at low temperatures (2014)
Zhao, Jun-Hua ; Kou, Liangzhi ; Jiang, Jin-Wu ; Rabczuk, Timon
Tension-induced phase transition of single-layer molybdenum disulphide (MoS2) at low temperatures
T-spline based XIGA for Fracture Analysis of Orthotropic Media (2015)
Ghorashi, Seyed Shahram ; Valizadeh, N. ; Mohammadi, S. ; Rabczuk, Timon
T-spline based XIGA for Fracture Analysis of Orthotropic Media
System identification and damage detection of a prestressed concrete beam (2006)
Unger, Jörg F. ; Teughels, A. ; De Roeck, G.
System identification and damage detection of a prestressed concrete beam
Synthese und Analyse von gekoppelten Modellen im konstruktiven Ingenieurbau (2011)
Stein, Peter ; Lahmer, Tom ; Bock, Sebastian
Synthese und Analyse von gekoppelten Modellen im konstruktiven Ingenieurbau
Superior thermal conductivity and extremely high mechanical strength in polyethylene chains from ab initio calculation (2012)
Jiang, Jin-Wu ; Zhao, Jun-Hua ; Zhou, K. ; Rabczuk, Timon
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.
Stochastic simulation of cracking in concrete structures using multi-parameter random fields (2006)
Most, Thomas ; Bucher, Christian
Stochastic simulation of cracking in concrete structures using multi-parameter random fields
Stochastic predictions of interfacial characteristic of polymeric nanocomposites (PNCs) (2014)
Vu-Bac, N. ; Lahmer, Tom ; Zhang, Yancheng ; Zhuang, Xiaoying ; Rabczuk, Timon
Stochastic predictions of interfacial characteristic of polymeric nanocomposites (PNCs)
Stochastic predictions of bulk properties of amorphous polyethylene based on molecular dynamics simulations (2014)
Vu-Bac, N. ; Lahmer, Tom ; Keitel, Holger ; Zhao, Jun-Hua ; Zhuang, Xiaoying ; Rabczuk, Timon
Stochastic predictions of bulk properties of amorphous polyethylene based on molecular dynamics simulations
Statistical extraction of process zones and representative subspaces in fracture of random composites (2013)
Kerfriden, Pierre ; Schmidt, K.M. ; Rabczuk, Timon ; Bordas, Stéphane Pierre Alain
Statistical extraction of process zones and representative subspaces in fracture of random composites
Static, free vibration and buckling analysis of laminated composite Reissner-Mindlin plates using NURBS-based isogeometric approach (2012)
Thai, Chien H. ; Nguyen-Xuan, Hung ; Nguyen-Thanh, Nhon ; Le, T.H. ; Nguyen-Thoi, T. ; Rabczuk, Timon
This paper presents a novel numerical procedure based on the framework of isogeometric analysis for static, free vibration, and buckling analysis of laminated composite plates using the first-order shear deformation theory. The isogeometric approach utilizes non-uniform rational B-splines to implement for the quadratic, cubic, and quartic elements. Shear locking problem still exists in the stiffness formulation, and hence, it can be significantly alleviated by a stabilization technique. Several numerical examples are presented to show the performance of the method, and the results obtained are compared with other available ones.
Size-Sensitive Young’s Modulus of Kinked Silicon Nanowires (2013)
Jiang, Jin-Wu ; Zhao, Jun-Hua ; Rabczuk, Timon
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.
Size dependent free flexural vibration behavior of functionally graded nanoplates (2012)
Natarajan, S. ; Chakraborty, S. ; Thangavel, M. ; Bordas, Stéphane Pierre Alain ; Rabczuk, Timon
Size dependent free flexural vibration behavior of functionally graded nanoplates
Sequential reliability based optimization of fiber content and dispersion in fiber reinforced composite by using NURBS finite elements (2014)
Ghasemi, Hamid ; Brighenti, Roberto ; Zhuang, Xiaoying ; Muthu, Jacob ; Rabczuk, Timon
Sequential reliability based optimization of fiber content and dispersion in fiber reinforced composite by using NURBS finite elements
Seismic analysis of structural response using simplified soil-structure interaction models (2010)
Nasser, Mourad ; Schwedler, Michael ; Wuttke, Frank ; Könke, Carsten
Seismic analysis of structural response using simplified soil-structure interaction models
Rotation free isogeometric thin shell analysis using PHT-splines (2011)
Nguyen-Thanh, Nhon ; Kiendl, J. ; Nguyen-Xuan, Hung ; Wüchner, R. ; Bletzinger, Kai-Uwe ; Bazilevs, Yuri ; Rabczuk, Timon
Rotation free isogeometric thin shell analysis using PHT-splines
Residual stress fields and fatigue analysis of autofrettaged parts (2002)
Thumser, Rayk ; Bergmann, Joachim W. ; Vormwald, M.
Residual stress fields and fatigue analysis of autofrettaged parts
Quasicontinuum-based multiscale approaches for plate-like beam lattices experiencing in-plane and out-of-plane deformation (2014)
Beex, L.A.A. ; Kerfriden, Pierre ; Rabczuk, Timon ; Bordas, Stéphane Pierre Alain
Quasicontinuum-based multiscale approaches for plate-like beam lattices experiencing in-plane and out-of-plane deformation
Quasi-analytical solution for the stable system of the multi-layer folded graphene wrinkles (2013)
Zhang, Yancheng ; Wei, Ning ; Zhao, Jun-Hua ; Gong, Yadong ; Rabczuk, Timon
Quasi-analytical solution for the stable system of the multi-layer folded graphene wrinkles
Probabilistic analysis of concrete cracking using neural networks and random fields (2007)
Most, Thomas ; Bucher, Christian
Probabilistic analysis of concrete cracking using neural networks and random fields
Predicting The Fracture Toughness of PNCs: A Stochastic Approach Based on ANN and ANFIS (2015)
Hamdia, Khader ; Lahmer, Tom ; Nguyen-Thoi, T. ; Rabczuk, Timon
Predicting The Fracture Toughness of PNCs: A Stochastic Approach Based on ANN and ANFIS
Polycrystal models for the analysis of intergranular crack growth in metallic materials (2009)
Luther, Torsten ; Könke, Carsten
Polycrystal models for the analysis of intergranular crack growth in metallic materials
Phonon modes in single-walled molybdenum disulphide nanotubes: lattice dynamics calculation and molecular dynamics simulation (2014)
Jiang, Jin-Wu ; Wang, Bing-Shen ; Rabczuk, Timon
Phonon modes in single-walled molybdenum disulphide nanotubes: lattice dynamics calculation and molecular dynamics simulation
Phase-field modeling of fracture in linear thin shells (2014)
Amiri, Fatemeh ; Millán, D. ; Shen, Y. ; Rabczuk, Timon ; Arroyo, M.
Phase-field modeling of fracture in linear thin shells
Phase field modelling of stressed grain growth: Analytical study and the effect of microstructural length scale (2014)
Jamshidian, M. ; Rabczuk, Timon
Phase field modelling of stressed grain growth: Analytical study and the effect of microstructural length scale
Phantom-node method for shell models with arbitrary cracks (2012)
Chau-Dinh, T. ; Zi, Goangseup ; Lee, P.S. ; Song, Jeong-Hoon ; Rabczuk, Timon
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.
PDE based determination of piezoelectric material tensors (2006)
Kaltenbacher, Barbara ; Lahmer, Tom ; Mohr, Marcus ; Kaltenbacher, Manfred
PDE based determination of piezoelectric material tensors.
Optimum fiber content and distribution in fiber-reinforced solids using a reliability and NURBS based sequential optimization approach (2015)
Ghasemi, Hamid ; Brighenti, Roberto ; Zhuang, Xiaoying ; Muthu, Jacob ; Rabczuk, Timon
Optimum _ber content and distribution in _ber-reinforced solids using a reliability and NURBS based sequential optimization approach
Optimizing maintenance interventions for deteriorating structures using cost-benefit criteria (2007)
Macke, M. ; Higuchi, Shoko
Optimizing maintenance interventions for deteriorating structures using cost-benefit criteria
Optimization of lifetime maintenance strategies for deteriorting structures considering probabilities of violating safety, condition, and cost thresholds (2006)
Bucher, Christian ; Frangopol, D.M.
Optimization of lifetime maintenance strategies for deteriorting structures considering probabilities of violating safety, condition, and cost thresholds
Optimization of fiber distribution in fiber reinforced composite by using NURBS functions (2014)
Ghasemi, Hamid ; Brighenti, Roberto ; Zhuang, Xiaoying ; Muthu, Jacob ; Rabczuk, Timon
Optimization of fiber distribution in fiber reinforced composite by using NURBS functions
Optimization of Elastic Properties and Weaving Patterns of Woven Composites (2013)
Bakar, I. ; Kramer, O. ; Bordas, Stéphane Pierre Alain ; Rabczuk, Timon
Optimization of Elastic Properties and Weaving Patterns of Woven Composites
Optimale Positionierung von Messeinrichtungen an Staumauern zur Bauwerksüberwachung (2010)
Lahmer, Tom ; Könke, Carsten ; Bettzieche, Volker
Optimale Positionierung von Messeinrichtungen an Staumauern zur Bauwerksüberwachung
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 (2011)
Brehm, Maik ; Zabel, Volkmar ; Bucher, Christian
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
Optimal positioning of sensors for the monitoring of water dams (2010)
Lahmer, Tom ; Könke, Carsten ; Bettzieche, Volker
Optimal positioning of sensors for the monitoring of water dams
Optimal measurement selection for piezoelectric material tensor identification (2008)
Lahmer, Tom ; Kaltenbacher, Barbara ; Schulz, V.
Optimal measurement selection for piezoelectric material tensor identification.
Optimal experimental design for nonlinear ill-posed problems applied to gravity dams (2011)
Lahmer, Tom
Optimal experimental design for nonlinear ill-posed problems applied to gravity dams
On the numerical stability and mass-lumping schemes for explicit enriched meshfree methods (2012)
Talebi, Hossein ; Samaniego, C. ; Samaniego, Esteban ; Rabczuk, Timon
Meshfree methods (MMs) such as the element free Galerkin (EFG)method have gained popularity because of some advantages over other numerical methods such as the finite element method (FEM). A group of problems that have attracted a great deal of attention from the EFG method community includes the treatment of large deformations and dealing with strong discontinuities such as cracks. One efficient solution to model cracks is adding special enrichment functions to the standard shape functions such as extended FEM, within the FEM context, and the cracking particles method, based on EFG method. It is well known that explicit time integration in dynamic applications is conditionally stable. Furthermore, in enriched methods, the critical time step may tend to very small values leading to computationally expensive simulations. In this work, we study the stability of enriched MMs and propose two mass-lumping strategies. Then we show that the critical time step for enriched MMs based on lumped mass matrices is of the same order as the critical time step of MMs without enrichment. Moreover, we show that, in contrast to extended FEM, even with a consistent mass matrix, the critical time step does not vanish even when the crack directly crosses a node.
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