TY  - JOUR
A1  - Jiang, Jin-Wu
A1  - Wang, Bing-Shen
A1  - Rabczuk, Timon
T1  - Why twisting angles are diverse in graphene Moir’e patterns?
JF  - Journal of Applied Physics
N2  - Why twisting angles are diverse in graphene Moir’e patterns?
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2013
ER  - 
TY  - JOUR
A1  - Ilyani Akmar, A.B.
A1  - Lahmer, Tom
A1  - Bordas, Stéphane Pierre Alain
A1  - Beex, L.A.A.
A1  - Rabczuk, Timon
T1  - Uncertainty quantification of dry woven fabrics: A sensitivity analysis on material properties
JF  - Composite Structures
N2  - Uncertainty quantification of dry woven fabrics: A sensitivity analysis on material properties
KW  - Angewandte Mathematik
KW  - Stochastik
KW  - Strukturmechanik
Y1  - 2014
U6  - http://dx.doi.org/10.1016/j.compstruct.2014.04.014
SP  - 1
EP  - 17
ER  - 
TY  - JOUR
A1  - Vu-Bac, N.
A1  - Rafiee, Roham
A1  - Zhuang, Xiaoying
A1  - Lahmer, Tom
A1  - Rabczuk, Timon
T1  - Uncertainty quantification for multiscale modeling of polymer nanocomposites with correlated parameters
JF  - Composites Part B: Engineering
N2  - Uncertainty quantification for multiscale modeling of polymer nanocomposites with correlated parameters
KW  - Angewandte Mathematik
KW  - Stochastik
KW  - Strukturmechanik
Y1  - 2015
SP  - 446
EP  - 464
ER  - 
TY  - JOUR
A1  - Ghasemi, Hamid
A1  - Rafiee, Roham
A1  - Zhuang, Xiaoying
A1  - Muthu, Jacob
A1  - Rabczuk, Timon
T1  - Uncertainties propagation in metamodel-based probabilistic optimization of CNT/polymer composite structure using stochastic multi-scale modeling
JF  - Computational Materials Science
N2  - Uncertainties propagation in metamodel-based probabilistic optimization of CNT/polymer composite structure using stochastic multi-scale modeling
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2014
SP  - 295
EP  - 305
ER  - 
TY  - JOUR
A1  - Nanthakumar, S.S.
A1  - Lahmer, Tom
A1  - Zhuang, Xiaoying
A1  - Park, Harold S.
A1  - Rabczuk, Timon
T1  - Topology optimization of piezoelectric nanostructures
JF  - Journal of the Mechanics and Physics of Solids
N2  - Topology optimization of piezoelectric nanostructures
KW  - Angewandte Mathematik
KW  - Stochastik
KW  - Strukturmechanik
Y1  - 2016
SP  - 316
EP  - 335
ER  - 
TY  - JOUR
A1  - Zhao, Jiyun
A1  - Lu, Lixin
A1  - Rabczuk, Timon
T1  - The tensile and shear failure behavior dependence on chain length and temperature in amorphous polymers
JF  - Computational Materials Science
N2  - The tensile and shear failure behavior dependence on chain length and temperature in amorphous polymers
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2015
SP  - 567
EP  - 572
ER  - 
TY  - JOUR
A1  - Ben, S.
A1  - Zhao, Jun-Hua
A1  - Zhang, Yancheng
A1  - Rabczuk, Timon
T1  - The interface strength and debonding for composite structures: review and recent developments
JF  - Composite Structures
N2  - The interface strength and debonding for composite structures: review and recent developments
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2015
ER  - 
TY  - JOUR
A1  - Areias, Pedro
A1  - Rabczuk, Timon
A1  - Barbosa, J.I.
T1  - The extended unsymmetric frontal solution for multiple-point constraints
JF  - Engineering Computations
N2  - The extended unsymmetric frontal solution for multiple-point constraints
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2014
ER  - 
TY  - JOUR
A1  - Zhao, Jun-Hua
A1  - Kou, Liangzhi
A1  - Jiang, Jin-Wu
A1  - Rabczuk, Timon
T1  - Tension-induced phase transition of single-layer molybdenum disulphide (MoS2) at low temperatures
JF  - Nanotechnology
N2  - Tension-induced phase transition of single-layer molybdenum disulphide (MoS2) at low temperatures
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2014
U6  - http://dx.doi.org/10.1088/0957-4484/25/29/295701
ER  - 
TY  - JOUR
A1  - Ghorashi, Seyed Shahram
A1  - Valizadeh, Navid
A1  - Mohammadi, S.
A1  - Rabczuk, Timon
T1  - T-spline based XIGA for Fracture Analysis of Orthotropic Media
JF  - Computers & Structures
N2  - T-spline based XIGA for Fracture Analysis of Orthotropic Media
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2015
SP  - 138
EP  - 146
ER  - 
TY  - JOUR
A1  - Jiang, Jin-Wu
A1  - Zhao, Jun-Hua
A1  - Zhou, K.
A1  - Rabczuk, Timon
T1  - Superior thermal conductivity and extremely high mechanical strength in polyethylene chains from ab initio calculation
JF  - Journal of Applied Physics
N2  - The upper limit of the thermal conductivity and the mechanical strength are predicted for the polyethylene chain, by performing the ab initio calculation and applying the quantum mechanical non-equilibrium Green’s function approach. Specially, there are two main findings from our calculation: (1) the thermal conductivity can reach a high value of 310 Wm−1 K−1 in a 100 nm polyethylene chain at room temperature and the thermal conductivity increases with the length of the chain; (2) the Young’s modulus in the polyethylene chain is as high as 374.5 GPa, and the polyethylene chain can sustain 32.85%±0.05% (ultimate) strain before undergoing structural phase transition into gaseous ethylene.
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2012
U6  - http://dx.doi.org/10.1063/1.4729489
ER  - 
TY  - JOUR
A1  - Vu-Bac, N.
A1  - Lahmer, Tom
A1  - Zhang, Yancheng
A1  - Zhuang, Xiaoying
A1  - Rabczuk, Timon
T1  - Stochastic predictions of interfacial characteristic of polymeric nanocomposites (PNCs)
JF  - Composites Part B Engineering
N2  - Stochastic predictions of interfacial characteristic of polymeric nanocomposites (PNCs)
KW  - Angewandte Mathematik
KW  - Stochastik
KW  - Strukturmechanik
Y1  - 2014
SP  - 80
EP  - 95
ER  - 
TY  - JOUR
A1  - Vu-Bac, N.
A1  - Lahmer, Tom
A1  - Keitel, Holger
A1  - Zhao, Jun-Hua
A1  - Zhuang, Xiaoying
A1  - Rabczuk, Timon
T1  - Stochastic predictions of bulk properties of amorphous polyethylene based on molecular dynamics simulations
JF  - Mechanics of Materials
N2  - Stochastic predictions of bulk properties of amorphous polyethylene based on molecular dynamics simulations
KW  - Angewandte Mathematik
KW  - Stochastik
KW  - Strukturmechanik
Y1  - 2014
SP  - 70
EP  - 84
ER  - 
TY  - JOUR
A1  - Kerfriden, Pierre
A1  - Schmidt, K.M.
A1  - Rabczuk, Timon
A1  - Bordas, Stéphane Pierre Alain
T1  - Statistical extraction of process zones and representative subspaces in fracture of random composites
JF  - International Journal for Multiscale Computational Engineering
N2  - Statistical extraction of process zones and representative subspaces in fracture of random composites
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2013
ER  - 
TY  - JOUR
A1  - Thai, Chien H.
A1  - Nguyen-Xuan, Hung
A1  - Nguyen-Thanh, Nhon
A1  - Le, T.H.
A1  - Nguyen-Thoi, T.
A1  - Rabczuk, Timon
T1  - Static, free vibration and buckling analysis of laminated composite Reissner-Mindlin plates using NURBS-based isogeometric approach
JF  - International Journal for Numerical Methods in Engineering
N2  - 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.
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2012
U6  - http://dx.doi.org/10.1002/nme.4282
SP  - 571
EP  - 603
ER  - 
TY  - JOUR
A1  - Jiang, Jin-Wu
A1  - Zhao, Jun-Hua
A1  - Rabczuk, Timon
T1  - Size-Sensitive Young’s Modulus of Kinked Silicon Nanowires
JF  - Nanotechnology
N2  - We perform both classical molecular dynamics simulations and beam model calculations to investigate the Young's modulus of kinked silicon nanowires (KSiNWs). The Young's modulus is found to be highly sensitive to the arm length of the kink and is essentially inversely proportional to the arm length. The mechanism underlying the size dependence is found to be the interplay between the kink angle potential and the arm length potential, where we obtain an analytic relationship between the Young's modulus and the arm length of the KSiNW. Our results provide insight into the application of this novel building block in nanomechanical devices.
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2013
U6  - http://dx.doi.org/10.1088/0957-4484/24/18/185702
ER  - 
TY  - JOUR
A1  - Natarajan, S.
A1  - Chakraborty, S.
A1  - Thangavel, M.
A1  - Bordas, Stéphane Pierre Alain
A1  - Rabczuk, Timon
T1  - Size dependent free flexural vibration behavior of functionally graded nanoplates
JF  - Computational Materials Science
N2  - Size dependent free flexural vibration behavior of functionally graded nanoplates
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2012
SP  - 74
EP  - 80
ER  - 
TY  - JOUR
A1  - Ghasemi, Hamid
A1  - Brighenti, Roberto
A1  - Zhuang, Xiaoying
A1  - Muthu, Jacob
A1  - Rabczuk, Timon
T1  - Sequential reliability based optimization of fiber content and dispersion in fiber reinforced composite by using NURBS finite elements
JF  - Structural and Multidisciplinary Optimization
N2  - Sequential reliability based optimization of fiber content and dispersion in fiber reinforced composite by using NURBS finite elements
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2014
ER  - 
TY  - JOUR
A1  - Nguyen-Thanh, Nhon
A1  - Kiendl, J.
A1  - Nguyen-Xuan, Hung
A1  - Wüchner, R.
A1  - Bletzinger, Kai-Uwe
A1  - Bazilevs, Yuri
A1  - Rabczuk, Timon
T1  - Rotation free isogeometric thin shell analysis using PHT-splines
JF  - Computer Methods in Applied Mechanics and Engineering
N2  - Rotation free isogeometric thin shell analysis using PHT-splines
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2011
SP  - 3410
EP  - 3424
ER  - 
TY  - JOUR
A1  - Beex, L.A.A.
A1  - Kerfriden, Pierre
A1  - Rabczuk, Timon
A1  - Bordas, Stéphane Pierre Alain
T1  - Quasicontinuum-based multiscale approaches for plate-like beam lattices experiencing in-plane and out-of-plane deformation
JF  - Computer Methods in Applied Mechanics and Engineering
N2  - Quasicontinuum-based multiscale approaches for plate-like beam lattices experiencing in-plane and out-of-plane deformation
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2014
ER  - 
TY  - JOUR
A1  - Zhang, Yancheng
A1  - Wei, Ning
A1  - Zhao, Jun-Hua
A1  - Gong, Yadong
A1  - Rabczuk, Timon
T1  - Quasi-analytical solution for the stable system of the multi-layer folded graphene wrinkles
JF  - Journal of Applied Physics
N2  - Quasi-analytical solution for the stable system of the multi-layer folded graphene wrinkles
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2013
ER  - 
TY  - JOUR
A1  - Hamdia, Khader
A1  - Lahmer, Tom
A1  - Nguyen-Thoi, T.
A1  - Rabczuk, Timon
T1  - Predicting The Fracture Toughness of PNCs: A Stochastic Approach Based on ANN and ANFIS
JF  - Computational Materials Science
N2  - Predicting The Fracture Toughness of PNCs: A Stochastic Approach Based on ANN and ANFIS
KW  - Angewandte Mathematik
KW  - Stochastik
KW  - Strukturmechanik
Y1  - 2015
SP  - 304
EP  - 313
ER  - 
TY  - JOUR
A1  - Jiang, Jin-Wu
A1  - Wang, Bing-Shen
A1  - Rabczuk, Timon
T1  - Phonon modes in single-walled molybdenum disulphide nanotubes: lattice dynamics calculation and molecular dynamics simulation
JF  - Nanotechnology
N2  - Phonon modes in single-walled molybdenum disulphide nanotubes: lattice dynamics calculation and molecular dynamics simulation
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2014
ER  - 
TY  - JOUR
A1  - Amiri, Fatemeh
A1  - Millán, D.
A1  - Shen, Y.
A1  - Rabczuk, Timon
A1  - Arroyo, M.
T1  - Phase-field modeling of fracture in linear thin shells
JF  - Theoretical and Applied Fracture Mechanics
N2  - Phase-field modeling of fracture in linear thin shells
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2014
SP  - 102
EP  - 109
ER  - 
TY  - JOUR
A1  - Jamshidian, M.
A1  - Rabczuk, Timon
T1  - Phase field modelling of stressed grain growth: Analytical study and the effect of microstructural length scale
JF  - Journal of Computational Physics
N2  - Phase field modelling of stressed grain growth: Analytical study and the effect of microstructural length scale
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2014
SP  - 23
EP  - 35
ER  - 
TY  - JOUR
A1  - Chau-Dinh, T.
A1  - Zi, Goangseup
A1  - Lee, P.S.
A1  - Song, Jeong-Hoon
A1  - Rabczuk, Timon
T1  - Phantom-node method for shell models with arbitrary cracks
JF  - Computers & Structures
N2  - A phantom-node method is developed for three-node shell elements to describe cracks. This method can treat arbitrary cracks independently of the mesh. The crack may cut elements completely or partially. Elements are overlapped on the position of the crack, and they are partially integrated to implement the discontinuous displacement across the crack. To consider the element containing a crack tip, a new kinematical relation between the overlapped elements is developed. There is no enrichment function for the discontinuous displacement field. Several numerical examples are presented to illustrate the proposed method.
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2012
U6  - http://dx.doi.org/10.1016/j.compstruc.2011.10.021
ER  - 
TY  - JOUR
A1  - Ghasemi, Hamid
A1  - Brighenti, Roberto
A1  - Zhuang, Xiaoying
A1  - Muthu, Jacob
A1  - Rabczuk, Timon
T1  - Optimum fiber content and distribution in fiber-reinforced solids using a reliability and NURBS based sequential optimization approach
JF  - Structural and Multidisciplinary Optimization
N2  - Optimum _ber content and distribution in _ber-reinforced solids using a reliability and NURBS based sequential optimization approach
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2015
SP  - 99
EP  - 112
ER  - 
TY  - JOUR
A1  - Ghasemi, Hamid
A1  - Brighenti, Roberto
A1  - Zhuang, Xiaoying
A1  - Muthu, Jacob
A1  - Rabczuk, Timon
T1  - Optimization of fiber distribution in fiber reinforced composite by using NURBS functions
JF  - Computational Materials Science
N2  - Optimization of fiber distribution in fiber reinforced composite by using NURBS functions
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2014
SP  - 463
EP  - 473
ER  - 
TY  - JOUR
A1  - Bakar, I.
A1  - Kramer, O.
A1  - Bordas, Stéphane Pierre Alain
A1  - Rabczuk, Timon
T1  - Optimization of Elastic Properties and Weaving Patterns of Woven Composites
JF  - Composite Structures
N2  - Optimization of Elastic Properties and Weaving Patterns of Woven Composites
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2013
SP  - 575
EP  - 591
ER  - 
TY  - JOUR
A1  - Talebi, Hossein
A1  - Samaniego, C.
A1  - Samaniego, Esteban
A1  - Rabczuk, Timon
T1  - On the numerical stability and mass-lumping schemes for explicit enriched meshfree methods
JF  - International Journal for Numerical Methods in Engineering
N2  - 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.
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2012
U6  - http://dx.doi.org/10.1002/nme.3275
SP  - 1009
EP  - 1027
ER  - 
TY  - JOUR
A1  - Silani, Mohammad
A1  - Talebi, Hossein
A1  - Arnold, Daniel
A1  - Ziaei-Rad, S.
A1  - Rabczuk, Timon
T1  - On the coupling of a commercial finite element package with lammps for multiscale modeling of materials
JF  - Steel Research International
N2  - On the coupling of a commercial finite element package with lammps for multiscale modeling of materials
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2013
ER  - 
TY  - JOUR
A1  - Valizadeh, Navid
A1  - Natarajan, S.
A1  - Gonzalez-Estrada, O.A.
A1  - Rabczuk, Timon
A1  - Tinh Quoc, Bui
A1  - Bordas, Stéphane Pierre Alain
T1  - NURBS-based finite element analysis of functionally graded plates: static bending, vibration, buckling and flutter
JF  - Composite Structures
N2  - NURBS-based finite element analysis of functionally graded plates: static bending, vibration, buckling and flutter
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2013
SP  - 309
EP  - 326
ER  - 
TY  - JOUR
A1  - Arash, Behrouz
A1  - Rabczuk, Timon
A1  - Jiang, Jin-Wu
T1  - Nanoresonators and their applications: a state of the art review
JF  - Applied Physics Reviews
N2  - Nanoresonators and their applications: a state of the art review
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2015
ER  - 
TY  - JOUR
A1  - Mortazavi, Bohayra
A1  - Rabczuk, Timon
T1  - Multiscale modeling of heat conduction in graphene laminates
JF  - Carbon
N2  - Multiscale modeling of heat conduction in graphene laminates
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2015
SP  - 1
EP  - 7
ER  - 
TY  - JOUR
A1  - Zhang, Chao
A1  - Nanthakumar, S.S.
A1  - Lahmer, Tom
A1  - Rabczuk, Timon
T1  - Multiple cracks identification for piezoelectric structures
JF  - International Journal of Fracture
N2  - Multiple cracks identification for piezoelectric structures
KW  - Angewandte Mathematik
KW  - Stochastik
KW  - Strukturmechanik
Y1  - 2017
SP  - 1
EP  - 19
ER  - 
TY  - JOUR
A1  - Jiang, Jin-Wu
A1  - Park, Harold S.
A1  - Rabczuk, Timon
T1  - MoS2 nanoresonators: intrinsically better than graphene?
JF  - Nanoscale
N2  - MoS2 nanoresonators: intrinsically better than graphene?
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2014
SP  - 3618
EP  - 3625
ER  - 
TY  - JOUR
A1  - Talebi, Hossein
A1  - Silani, Mohammad
A1  - Bordas, Stéphane Pierre Alain
A1  - Kerfriden, Pierre
A1  - Rabczuk, Timon
T1  - Molecular Dynamics/XFEM Coupling by a Three-Dimensional Extended Bridging Domain with Applications to Dynamic Brittle Fracture
JF  - International Journal for Multiscale Computational Engineering
N2  - Molecular Dynamics/XFEM Coupling by a Three-Dimensional Extended Bridging Domain with Applications to Dynamic Brittle Fracture
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2013
ER  - 
TY  - JOUR
A1  - Jiang, Jin-Wu
A1  - Rabczuk, Timon
T1  - Modulation of Thermal Conductivity in kinked Silicon Nanowires: Phonon interchanging and pinching effects or Reduction of thermal conductivity in kinked silicon nanowire superlattices
JF  - Nano Letters
N2  - Modulation of Thermal Conductivity in kinked Silicon Nanowires: Phonon interchanging and pinching effects or Reduction of thermal conductivity in kinked silicon nanowire superlattices
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2013
ER  - 
TY  - JOUR
A1  - Kumar, S.
A1  - Singh, I.
A1  - Mishra, B.K.
A1  - Rabczuk, Timon
T1  - Modeling and Simulation of Kinked Cracks by Virtual Node XFEM
JF  - Computer Methods in Applied Mechanics and Engineering
N2  - Modeling and Simulation of Kinked Cracks by Virtual Node XFEM
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2015
SP  - 1425
EP  - 1466
ER  - 
TY  - JOUR
A1  - Zhao, Jun-Hua
A1  - Wei, Ning
A1  - Fan, Z.
A1  - Jiang, Jin-Wu
A1  - Rabczuk, Timon
T1  - Mechanical properties of three types of carbon allotropes
JF  - Nanotechnology
N2  - Mechanical properties of three types of carbon allotropes
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2013
ER  - 
TY  - JOUR
A1  - Mortazavi, Bohayra
A1  - Cuniberti, G.
A1  - Rabczuk, Timon
T1  - Mechanical properties and thermal conductivity of graphitic carbon nitride: A molecular dynamics study
JF  - Computational Materials Science
N2  - Mechanical properties and thermal conductivity of graphitic carbon nitride: A molecular dynamics study
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2015
SP  - 285
EP  - 289
ER  - 
TY  - JOUR
A1  - Jiang, Jin-Wu
A1  - Rabczuk, Timon
T1  - Mechanical Oscillation of Kinked Silicon Nanowires: a Natural Nanoscale Spring
JF  - Applied Physics Letters
N2  - Mechanical Oscillation of Kinked Silicon Nanowires: a Natural Nanoscale Spring
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2013
ER  - 
TY  - JOUR
A1  - Zhang, Yancheng
A1  - Zhuang, Xiaoying
A1  - Muthu, Jacob
A1  - Mabrouki, Tarek
A1  - Fontaine, Michaël
A1  - Gong, Yadong
A1  - Rabczuk, Timon
T1  - Load transfer of graphene/carbon nanotube/polyethylene hybrid nanocomposite by molecular dynamics simulation
JF  - Composites Part B Engineering
N2  - Load transfer of graphene/carbon nanotube/polyethylene hybrid nanocomposite by molecular dynamics simulation
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2014
SP  - 27
EP  - 33
ER  - 
TY  - JOUR
A1  - Nguyen-Thanh, Nhon
A1  - Nguyen-Xuan, Hung
A1  - Bordas, Stéphane Pierre Alain
A1  - Rabczuk, Timon
T1  - Isogeometric analysis using polynomial splines over hierarchical T-meshes for two-dimensional elastic solids
JF  - Computer Methods in Applied Mechanics and Engineering
N2  - Isogeometric analysis using polynomial splines over hierarchical T-meshes for two-dimensional elastic solids
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2011
SP  - 1892
EP  - 1908
ER  - 
TY  - JOUR
A1  - Nguyen, V.P.
A1  - Kerfriden, Pierre
A1  - Bordas, Stéphane Pierre Alain
A1  - Rabczuk, Timon
T1  - Isogeometric analysis suitable trivariate NURBS representation of composite panels with a new offset algorithm
JF  - Computer-Aided Design
N2  - Isogeometric analysis suitable trivariate NURBS representation of composite panels with a new offset algorithm
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2014
ER  - 
TY  - JOUR
A1  - Thai, Chien H.
A1  - Nguyen-Xuan, Hung
A1  - Bordas, Stéphane Pierre Alain
A1  - Nguyen-Thanh, Nhon
A1  - Rabczuk, Timon
T1  - Isogeometric analysis of laminated composite plates using the higher-order shear deformation theory
JF  - Mechanics of Advanced Materials and Structures
N2  - Isogeometric analysis of laminated composite plates using the higher-order shear deformation theory
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2015
SP  - 451
EP  - 469
ER  - 
TY  - JOUR
A1  - Thai, Chien H.
A1  - Ferreira, A.J.M.
A1  - Bordas, Stéphane Pierre Alain
A1  - Rabczuk, Timon
A1  - Nguyen-Xuan, Hung
T1  - Isogeometric analysis of laminated composite and sandwich plates using a new inverse trigonometric shear deformation theory
JF  - European Journal of Mechanics
N2  - Isogeometric analysis of laminated composite and sandwich plates using a new inverse trigonometric shear deformation theory
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2014
SP  - 89
EP  - 108
ER  - 
TY  - JOUR
A1  - Ghasemi, Hamid
A1  - Kerfriden, Pierre
A1  - Bordas, Stéphane Pierre Alain
A1  - Muthu, Jacob
A1  - Zi, Goangseup
A1  - Rabczuk, Timon
T1  - Interfacial shear stress optimization in sandwich beams with polymeric core using nonuniform distribution of reinforcing ingredients
JF  - Composite Structures
N2  - Interfacial shear stress optimization in sandwich beams with polymeric core using nonuniform distribution of reinforcing ingredients
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2015
SP  - 221
EP  - 230
ER  - 
TY  - JOUR
A1  - Areias, Pedro
A1  - Rabczuk, Timon
A1  - Dias-da-Costa, D.
A1  - Piresh, E.B.
T1  - Implicit solutions with consistent additive and multiplicative components
JF  - Finite Elements in Analysis and Design
N2  - This work describes an algorithm and corresponding software for incorporating general nonlinear multiple-point equality constraints in a implicit sparse direct solver. It is shown that direct addressing of sparse matrices is possible in general circumstances, circumventing the traditional linear or binary search for introducing (generalized) constituents to a sparse matrix. Nested and arbitrarily interconnected multiple-point constraints are introduced by processing of multiplicative constituents with a built-in topological ordering of the resulting directed graph. A classification of discretization methods is performed and some re-classified problems are described and solved under this proposed perspective. The dependence relations between solution methods, algorithms and constituents becomes apparent. Fracture algorithms can be naturally casted in this framework. Solutions based on control equations are also directly incorporated as equality constraints. We show that arbitrary constituents can be used as long as the resulting directed graph is acyclic. It is also shown that graph partitions and orderings should be performed in the innermost part of the algorithm, a fact with some peculiar consequences. The core of our implicit code is described, specifically new algorithms for direct access of sparse matrices (by means of the clique structure) and general constituent processing. It is demonstrated that the graph structure of the second derivatives of the equality constraints are cliques (or pseudo-elements) and are naturally included as such. A complete algorithm is presented which allows a complete automation of equality constraints, avoiding the need of pre-sorting. Verification applications in four distinct areas are shown: single and multiple rigid body dynamics, solution control and computational fracture.
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2012
U6  - http://dx.doi.org/10.1016/j.finel.2012.03.007
SP  - 15
EP  - 31
ER  - 
TY  - JOUR
A1  - Xu, G.
A1  - Mourrain, B.
A1  - Galligo, A.
A1  - Rabczuk, Timon
T1  - High-quality construction of analysis-suitable trivariate NURBS solids by reparameterization methods
JF  - Computational Mechanics
N2  - High-quality construction of analysis-suitable trivariate NURBS solids by reparameterization methods
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2014
ER  - 
TY  - JOUR
A1  - Nguyen-Thoi, T.
A1  - Rabczuk, Timon
A1  - Lam-Phat, T.
A1  - Ho-Huu, V.
A1  - Phung-Van, P.
T1  - Free vibration analysis of cracked Mindlin plate using an extended cell-based smoothed discrete shear gap method (XCS-DSG3)
JF  - Theoretical and Applied Fracture Mechanics
N2  - Free vibration analysis of cracked Mindlin plate using an extended cell-based smoothed discrete shear gap method (XCS-DSG3)
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2014
ER  - 
TY  - JOUR
A1  - Nguyen-Thoi, T.
A1  - Phung-Van, P.
A1  - Rabczuk, Timon
A1  - Nguyen-Xuan, Hung
A1  - Le-Van, C.
T1  - Free and forced vibration analysis using the n-sided polygonal cell-based smoothed finite element method (nCS-FEM)
JF  - International Journal of Computational Methods
N2  - Free and forced vibration analysis using the n-sided polygonal cell-based smoothed finite element method (nCS-FEM)
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2013
ER  - 
TY  - JOUR
A1  - Areias, Pedro
A1  - Rabczuk, Timon
A1  - Cesar de Sa, J.M.
A1  - Garcao, J.E.
T1  - Finite strain quadrilateral shell using least-squares _t of relative Lagrangian in-plane strains
JF  - Finite Elements in Analysis and Design
N2  - Finite strain quadrilateral shell using least-squares _t of relative Lagrangian in-plane strains
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2015
SP  - 26
EP  - 40
ER  - 
TY  - JOUR
A1  - Areias, Pedro
A1  - Rabczuk, Timon
T1  - Finite strain fracture of plates and shells with configurational forces and edge rotation
JF  - International Journal for Numerical Methods in Engineering
N2  - Finite strain fracture of plates and shells with configurational forces and edge rotation
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2013
ER  - 
TY  - JOUR
A1  - Areias, Pedro
A1  - Rabczuk, Timon
A1  - Camanho, P.P.
T1  - Finite strain fracture of 2D problems with injected anisotropic softening elements
JF  - Theoretical and Applied Fracture Mechanics
N2  - Finite strain fracture of 2D problems with injected anisotropic softening elements
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2014
ER  - 
TY  - JOUR
A1  - Jia, Yue
A1  - Anitescu, Cosmin
A1  - Ghorashi, Seyed Shahram
A1  - Rabczuk, Timon
A1  - Dias-da-Costa, D.
T1  - Extended Isogeometric Analysis for Material Interface Problems
JF  - Journal of Applied Mathematics
N2  - Extended Isogeometric Analysis for Material Interface Problems
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2014
ER  - 
TY  - JOUR
A1  - Chen, Lei
A1  - Rabczuk, Timon
A1  - Liu, G.R.
A1  - Zeng, K.Y.
A1  - Kerfriden, Pierre
A1  - Bordas, Stéphane Pierre Alain
T1  - Extended finite element method with edge-based strain smoothing (ESm-XFEM) for linear elastic crack growth
JF  - Computer Methods in Applied Mechanics and Engineering
N2  - This paper presents a strain smoothing procedure for the extended finite element method (XFEM). The resulting “edge-based” smoothed extended finite element method (ESm-XFEM) is tailored to linear elastic fracture mechanics and, in this context, to outperform the standard XFEM. In the XFEM, the displacement-based approximation is enriched by the Heaviside and asymptotic crack tip functions using the framework of partition of unity. This eliminates the need for the mesh alignment with the crack and re-meshing, as the crack evolves. Edge-based smoothing (ES) relies on a generalized smoothing operation over smoothing domains associated with edges of simplex meshes, and produces a softening effect leading to a close-to-exact stiffness, “super-convergence” and “ultra-accurate” solutions. The present method takes advantage of both the ES-FEM and the XFEM. Thanks to the use of strain smoothing, the subdivision of elements intersected by discontinuities and of integrating the (singular) derivatives of the approximation functions is suppressed via transforming interior integration into boundary integration. Numerical examples show that the proposed method improves significantly the accuracy of stress intensity factors and achieves a near optimal convergence rate in the energy norm even without geometrical enrichment or blending correction.
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2012
U6  - http://dx.doi.org/10.1016/j.cma.2011.08.013
ER  - 
TY  - JOUR
A1  - Nguyen-Vinh, H.
A1  - Bakar, I.
A1  - Msekh, Mohammed Abdulrazzak
A1  - Song, Jeong-Hoon
A1  - Muthu, Jacob
A1  - Zi, Goangseup
A1  - Le, P.
A1  - Bordas, Stéphane Pierre Alain
A1  - Simpson, R.
A1  - Natarajan, S.
A1  - Lahmer, Tom
A1  - Rabczuk, Timon
T1  - Extended Finite Element Method for Dynamic Fracture of Piezo-Electric Materials
JF  - Engineering Fracture Mechanics
N2  - 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.
KW  - Angewandte Mathematik
KW  - Stochastik
KW  - Strukturmechanik
Y1  - 2012
U6  - http://dx.doi.org/10.1016/j.engfracmech.2012.04.025
SP  - 19
EP  - 31
ER  - 
TY  - JOUR
A1  - Chen, Lei
A1  - Nguyen-Thanh, Nhon
A1  - Nguyen-Xuan, Hung
A1  - Rabczuk, Timon
A1  - Bordas, Stéphane Pierre Alain
A1  - Limbert, Georges
T1  - Explicit finite deformation analysis of isogeometric membranes
JF  - Computer Methods in Applied Mechanics and Engineering
N2  - Explicit finite deformation analysis of isogeometric membranes
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2014
SP  - 104
EP  - 130
ER  - 
TY  - JOUR
A1  - Amani, Jafar
A1  - Bagherzadeh, Amir Saboor
A1  - Rabczuk, Timon
T1  - Error estimate and adaptive refinement in Mixed Discrete Least Squares Meshless method
JF  - Mathematical Problems in Engineering
N2  - Error estimate and adaptive refinement in Mixed Discrete Least Squares Meshless method
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2014
ER  - 
TY  - JOUR
A1  - Jiang, Jin-Wu
A1  - Park, Harold S.
A1  - Rabczuk, Timon
T1  - Enhancing the mass sensitivity of graphene nanoresonators via nonlinear oscillations: The effective strain mechanism
JF  - Nanotechnology
N2  - Enhancing the mass sensitivity of graphene nanoresonators via nonlinear oscillations: The effective strain mechanism
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2012
ER  - 
TY  - JOUR
A1  - Budarapu, Pattabhi Ramaiah
A1  - Gracie, Robert
A1  - Yang, Shih-Wei
A1  - Zhuang, Xiaoying
A1  - Rabczuk, Timon
T1  - Efficient Coarse Graining in Multiscale Modeling of Fracture
JF  - Theoretical and Applied Fracture Mechanics
N2  - Efficient Coarse Graining in Multiscale Modeling of Fracture
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2014
SP  - 126
EP  - 143
ER  - 
TY  - JOUR
A1  - Zhang, Yancheng
A1  - Zhao, Jiyun
A1  - Wei, Ning
A1  - Jiang, Jin-Wu
A1  - Rabczuk, Timon
T1  - Effects of the dispersion of polymer wrapped two neighbouring single walled carbon nanotubes (SWNTs) on nanoengineering load transfer
JF  - Composites Part B: Engineering
N2  - Effects of the dispersion of polymer wrapped two neighbouring single walled carbon nanotubes (SWNTs) on nanoengineering load transfer
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2013
SP  - 1714
EP  - 1721
ER  - 
TY  - JOUR
A1  - Budarapu, Pattabhi Ramaiah
A1  - Narayana, T.S.S.
A1  - Rammohan, B.
A1  - Rabczuk, Timon
T1  - Directionality of sound radiation from rectangular panels
JF  - Applied Acoustics
N2  - Directionality of sound radiation from rectangular panels
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2015
SP  - 128
EP  - 140
ER  - 
TY  - JOUR
A1  - Khosravani, M.R.
A1  - Rabczuk, Timon
T1  - Determiniation of shear modulus for double and multi-walled Carbon Nanotubes
JF  - Mechanics of Composite Materials
N2  - Determiniation of shear modulus for double and multi-walled Carbon Nanotubes
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2013
ER  - 
TY  - JOUR
A1  - Nanthakumar, S.S.
A1  - Lahmer, Tom
A1  - Rabczuk, Timon
T1  - Detection of multiple flaws in piezoelectric structures using XFEM and level sets
JF  - International Journal for Numerical Methods in Engineering
N2  - Detection of multiple flaws in piezoelectric structures using XFEM and level sets
KW  - Angewandte Mathematik
KW  - Stochastik
KW  - Strukturmechanik
Y1  - 2016
SP  - 960
ER  - 
TY  - JOUR
A1  - Nanthakumar, S.S.
A1  - Lahmer, Tom
A1  - Rabczuk, Timon
T1  - Detection of multiple flaws in piezoelectric structures using XFEM and level sets
JF  - Computer Methods in Applied Mechanics and Engineering
N2  - Detection of multiple flaws in piezoelectric structures using XFEM and level sets
KW  - Angewandte Mathematik
KW  - Stochastik
KW  - Strukturmechanik
Y1  - 2014
SP  - 98
EP  - 112
ER  - 
TY  - JOUR
A1  - Nanthakumar, S.S.
A1  - Lahmer, Tom
A1  - Zhuang, Xiaoying
A1  - Zi, Goangseup
A1  - Rabczuk, Timon
T1  - Detection of material interfaces using a regularized level set method in piezoelectric structures
JF  - Inverse Problems in Science and Engineering
N2  - Detection of material interfaces using a regularized level set method in piezoelectric structures
KW  - Angewandte Mathematik
KW  - Stochastik
KW  - Strukturmechanik
Y1  - 2016
SP  - 153
EP  - 176
ER  - 
TY  - JOUR
A1  - Nanthakumar, S.S.
A1  - Lahmer, Tom
A1  - Zhuang, Xiaoying
A1  - Zi, Goangseup
A1  - Rabczuk, Timon
T1  - Detection of material interfaces using a regularized level set method in piezoelectric structures
JF  - Inverse Problems in Science and Engineering
N2  - Detection of material interfaces using a regularized level set method in piezoelectric structures
KW  - Angewandte Mathematik
KW  - Stochastik
KW  - Strukturmechanik
Y1  - 2015
ER  - 
TY  - JOUR
A1  - Nanthakumar, S.S.
A1  - Lahmer, Tom
A1  - Rabczuk, Timon
T1  - Detection of flaws in piezoelectric structures using extended FEM
JF  - International Journal for Numerical Methods in Engineering
N2  - Detection of flaws in piezoelectric structures using extended FEM
KW  - Angewandte Mathematik
KW  - Stochastik
KW  - Strukturmechanik
Y1  - 2013
SP  - 373
EP  - 389
ER  - 
TY  - JOUR
A1  - Areias, Pedro
A1  - Rabczuk, Timon
A1  - Queiros de Melo, F. J. M.
A1  - Cesar de Sa, J.M.
T1  - Coulomb frictional contact by explicit projection in the cone for _nite displacement quasi-static problems
JF  - Computational Mechanics
N2  - Coulomb frictional contact by explicit projection in the cone for _nite displacement quasi-static problems
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2015
SP  - 57
EP  - 72
ER  - 
TY  - JOUR
A1  - Zhao, Jun-Hua
A1  - Lu, Lixin
A1  - Zhang, Zhiliang
A1  - Guo, Wanlin
A1  - Rabczuk, Timon
T1  - Continuum modeling of the cohesive energy for the interfaces between _lms, spheres, coats and substrates
JF  - Computational Materials Science
N2  - Continuum modeling of the cohesive energy for the interfaces between _lms, spheres, coats and substrates
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2015
SP  - 432
EP  - 438
ER  - 
TY  - JOUR
A1  - Talebi, Hossein
A1  - Silani, Mohammad
A1  - Rabczuk, Timon
T1  - Concurrent Multiscale Modelling of Three Dimensional Crack and Dislocation Propagation
JF  - Advances in Engineering Software
N2  - Concurrent Multiscale Modelling of Three Dimensional Crack and Dislocation Propagation
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2015
SP  - 82
EP  - 92
ER  - 
TY  - JOUR
A1  - Le, C.V.
A1  - Nguyen-Xuan, Hung
A1  - Askes, H.
A1  - Rabczuk, Timon
A1  - Nguyen-Thoi, T.
T1  - Computation of limit load using edge-based smoothed finite element method and second-order cone programming
JF  - International Journal of Computational Methods
N2  - Computation of limit load using edge-based smoothed finite element method and second-order cone programming
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2013
ER  - 
TY  - JOUR
A1  - Nguyen-Xuan, Hung
A1  - Rabczuk, Timon
A1  - Nguyen-Thoi, T.
A1  - Tran, T.
A1  - Nguyen-Thanh, Nhon
T1  - Computation of limit and shakedown loads using a node-based smoothed finite element method
JF  - International Journal for Numerical Methods in Engineering
N2  - 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.
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2012
U6  - http://dx.doi.org/10.1002/nme.3317
SP  - 287
EP  - 310
ER  - 
TY  - JOUR
A1  - Zhao, Jiyun
A1  - Jiang, Jin-Wu
A1  - Wang, L.
A1  - Guo, Wanlin
A1  - Rabczuk, Timon
T1  - Coarse-grained potentials of single-walled carbon nanotubes
JF  - Journal of the Mechanics and Physics of Solids
N2  - Coarse-grained potentials of single-walled carbon nanotubes
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2014
ER  - 
TY  - JOUR
A1  - Joshi, Suraj
A1  - Hildebrand, Jörg
A1  - Aloraier, Abdulkareem S.
A1  - Rabczuk, Timon
T1  - Characterization of material properties and heat source parameters in welding simulation of two overlapping beads on a substrate plate
JF  - Computational Materials Science
N2  - This paper presents several aspects of characterization of welding heat source parameters in Goldak’s double ellipsoidal model using Sysweld simulation of welding of two overlapping beads on a substrate steel plate. The overlap percentages ranged from 40% to 80% in increments of 10%. The new material properties of the fused metal were characterized using Weldware and their continuous cooling transformation curves. The convective and radiative heat transfer coefficients as well as the cooling time t8/5 were estimated using numerical formulations from relevant standards. The effects of the simulation geometry and mesh discretization were evaluated in terms of the factor F provided in Sysweld. Eventually, the parameters of Goldak’s double ellipsoidal heat source model were determined for the welding simulation of overlapping beads on the plate and the simulated bead geometry, extent of the molten pool and the HAZ were compared with the macrographs of cross-sections of the experimental weldments. The results showed excellent matching, thus verifying this methodology for determination of welding heat source parameters.
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2014
U6  - http://dx.doi.org/10.1016/j.commatsci.2012.11.029
SP  - 559
EP  - 565
ER  - 
TY  - JOUR
A1  - Zhao, Jun-Hua
A1  - Jia, Yue
A1  - Wei, Ning
A1  - Rabczuk, Timon
T1  - Binding energy and mechanical stability of two parallel and crossing carbon nanotubes
JF  - Journal of Applied Mechanics
N2  - Binding energy and mechanical stability of two parallel and crossing carbon nanotubes
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2015
ER  - 
TY  - JOUR
A1  - Zhao, Jun-Hua
A1  - Lu, Lixin
A1  - Rabczuk, Timon
T1  - Binding energy and mechanical stability of single- and multi-walled carbon nanotube serpentines
JF  - The Journal of Chemical Physics
N2  - Binding energy and mechanical stability of single- and multi-walled carbon nanotube serpentines
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2014
U6  - http://dx.doi.org/10.1063/1.4878115
ER  - 
TY  - JOUR
A1  - Areias, Pedro
A1  - Rabczuk, Timon
A1  - Dias-da-Costa, D.
T1  - Asymmetric Shell Elements Based on a Corrected Updated-Lagrangian Approach
JF  - CMES: Computer Modeling in Engineering and Sciences
N2  - Asymmetric Shell Elements Based on a Corrected Updated-Lagrangian Approach
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2013
ER  - 
TY  - JOUR
A1  - Areias, Pedro
A1  - Rabczuk, Timon
A1  - Dias-da-Costa, D.
T1  - Assumed-metric spherically-interpolated quadrilateral shell element
JF  - Finite Elements in Analysis and Design
N2  - Assumed-metric spherically-interpolated quadrilateral shell element
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2013
SP  - 53
EP  - 67
ER  - 
TY  - JOUR
A1  - Rabizadeh, Ehsan
A1  - Saboor Bagherzadeh, Amir
A1  - Rabczuk, Timon
T1  - Application of goal-oriented error estimation and adaptive mesh refinement on thermo-mechanical multifield problems
JF  - Computational Materials Science
N2  - Application of goal-oriented error estimation and adaptive mesh re_nement on thermo-mechanical multi_eld problems
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2015
SP  - 27
EP  - 44
ER  - 
TY  - JOUR
A1  - Anitescu, Cosmin
A1  - Jia, Yue
A1  - Zhang, Yongjie
A1  - Rabczuk, Timon
T1  - An isogeometric collocation method using superconvergent points
JF  - Computer Methods in Applied Mechanics and Engineer-ing
N2  - An isogeometric collocation method using superconvergent points
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2015
SP  - 1073
EP  - 1097
ER  - 
TY  - JOUR
A1  - Simpson, R.
A1  - Bordas, Stéphane Pierre Alain
A1  - Trevelyan, J.
A1  - Kerfriden, Pierre
A1  - Rabczuk, Timon
T1  - An Isogeometric Boundary Element Method for elastostatic analysis
JF  - Computer Methods in Applied Mechanics and Engineering
N2  - 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.
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2012
U6  - http://dx.doi.org/10.1016/j.cma.2011.08.008
ER  - 
TY  - JOUR
A1  - Nguyen-Thanh, Nhon
A1  - Valizadeh, Navid
A1  - Nguyen, Manh Hung
A1  - Nguyen-Xuan, Hung
A1  - Zhuang, Xiaoying
A1  - Areias, Pedro
A1  - Zi, Goangseup
A1  - Bazilevs, Yuri
A1  - De Lorenzis, Laura
A1  - Rabczuk, Timon
T1  - An extended isogeometric thin shell analysis based on Kirchhoff-Love theory
JF  - Computer Methods in Applied Mechanics and Engineering
N2  - An extended isogeometric thin shell analysis based on Kirchho_-Love theory
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2015
SP  - 265
EP  - 291
ER  - 
TY  - JOUR
A1  - Phan-Dao, H.
A1  - Nguyen-Xuan, Hung
A1  - Thai-Hoang, C.
A1  - Nguyen-Thoi, T.
A1  - Rabczuk, Timon
T1  - An edge-based smoothed finite element method for analysis of laminated composite plates
JF  - International Journal of Computational Methods
N2  - An edge-based smoothed finite element method for analysis of laminated composite plates
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2013
ER  - 
TY  - JOUR
A1  - Nguyen-Thoi, T.
A1  - Phung-Van, P.
A1  - Rabczuk, Timon
A1  - Nguyen-Xuan, Hung
A1  - Le-Van, C.
T1  - An application of the ES-FEM in solid domain for dynamic analysis of 2D fluid-solid interaction problems
JF  - International Journal of Computational Methods
N2  - An application of the ES-FEM in solid domain for dynamic analysis of 2D fluid-solid interaction problems
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2013
ER  - 
TY  - JOUR
A1  - Zhang, Yancheng
A1  - Zhao, Jun-Hua
A1  - Jia, Yue
A1  - Mabrouki, Tarek
A1  - Gong, Yadong
A1  - Wei, Ning
A1  - Rabczuk, Timon
T1  - An analytical solution on the interface debonding for large diameter carbon nanotube-reinforced composite with functionally graded variation interphase
JF  - Composite Structures
N2  - An analytical solution on the interface debonding for large diameter carbon nanotube-reinforced composite with functionally graded variation interphase
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2013
SP  - 261
EP  - 269
ER  - 
TY  - JOUR
A1  - Zhao, Jun-Hua
A1  - Guo, Wanlin
A1  - Rabczuk, Timon
T1  - An analytical molecular mechanics model for the elastic properties of crystalline polyethylene
JF  - Journal of Applied Physics
N2  - 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.
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2012
U6  - http://dx.doi.org/10.1063/1.4745035
ER  - 
TY  - JOUR
A1  - Areias, Pedro
A1  - Pinto da Costa, A.
A1  - Rabczuk, Timon
A1  - Queiros de Melo, F. J. M.
A1  - Dias-da-Costa, D.
T1  - An alternative formulation for quasi-static frictional and cohesive contact problems
JF  - Computational Mechanics
N2  - An alternative formulation for quasi-static frictional and cohesive contact problems
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2014
SP  - 807
EP  - 824
ER  - 
TY  - JOUR
A1  - Nguyen-Thanh, Nhon
A1  - Rabczuk, Timon
A1  - Nguyen-Xuan, Hung
A1  - Bordas, Stéphane Pierre Alain
T1  - An alternative alpha finite element method with stabilized discrete shear gap technique for analysis of Mindlin-Reissner plates
JF  - Finite Elements in Analysis & Design
N2  - An alternative alpha finite element method with stabilized discrete shear gap technique for analysis of Mindlin-Reissner plates
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2011
SP  - 519
EP  - 535
ER  - 
TY  - JOUR
A1  - Nguyen-Thanh, Nhon
A1  - Rabczuk, Timon
A1  - Nguyen-Xuan, Hung
A1  - Bordas, Stéphane Pierre Alain
T1  - An alternative alpha finite element method (A?FEM) free and forced vibration analysis of solids using triangular meshes
JF  - Journal of Computational and Applied Mathematics
N2  - An alternative alpha finite element method (A?FEM) free and forced vibration analysis of solids using triangular meshes
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2009
SP  - 2112
EP  - 2135
ER  - 
TY  - JOUR
A1  - Nguyen-Thanh, Nhon
A1  - Muthu, Jacob
A1  - Zhuang, Xiaoying
A1  - Rabczuk, Timon
T1  - An adaptive three-dimensional RHT-splines formulation in linear elasto-statics and elasto-dynamics
JF  - Computational Mechanics
N2  - An adaptive three-dimensional RHT-splines formulation in linear elasto-statics and elasto-dynamics
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2014
SP  - 369
EP  - 385
ER  - 
TY  - JOUR
A1  - Nguyen-Xuan, Hung
A1  - Liu, G.R.
A1  - Bordas, Stéphane Pierre Alain
A1  - Natarajan, S.
A1  - Rabczuk, Timon
T1  - An adaptive singular ES-FEM for mechanics problems with singular field of arbitrary order
JF  - Computer Methods in Applied Mechanics and Engineering
N2  - An adaptive singular ES-FEM for mechanics problems with singular field of arbitrary order
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2013
SP  - 252
EP  - 273
ER  - 
TY  - JOUR
A1  - Budarapu, Pattabhi Ramaiah
A1  - Gracie, Robert
A1  - Bordas, Stéphane Pierre Alain
A1  - Rabczuk, Timon
T1  - An adaptive multiscale method for quasi-static crack growth
JF  - Computational Mechanics
N2  - This paper proposes an adaptive atomistic- continuum numerical method for quasi-static crack growth. The phantom node method is used to model the crack in the continuum region and a molecular statics model is used near the crack tip. To ensure self-consistency in the bulk, a virtual atom cluster is used to model the material of the coarse scale. The coupling between the coarse scale and fine scale is realized through ghost atoms. The ghost atom positions are interpolated from the coarse scale solution and enforced as boundary conditions on the fine scale. The fine scale region is adaptively enlarged as the crack propagates and the region behind the crack tip is adaptively coarsened. An energy criterion is used to detect the crack tip location. The triangular lattice in the fine scale region corresponds to the lattice structure of the (111) plane of an FCC crystal. The Lennard-Jones potential is used to model the atom–atom interactions. The method is implemented in two dimensions. The results are compared to pure atomistic simulations; they show excellent agreement.
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2014
U6  - http://dx.doi.org/10.1007/s00466-013-0952-6
SP  - 1129
EP  - 1148
ER  - 
TY  - JOUR
A1  - Jiang, Jin-Wu
A1  - Wang, Bing-Shen
A1  - Rabczuk, Timon
T1  - Acoustic and breathing phonon modes in bilayer graphene with Moire-acute patterns
JF  - Applied Physics Letters
N2  - The lattice dynamics properties are investigated for twisting bilayer graphene. There are big jumps for the inter-layer potential at twisting angle θ=0° and 60°, implying the stability of Bernal-stacking and the instability of AA-stacking structures, while a long platform in [8,55]° indicates the ease of twisting bilayer graphene in this wide angle range. Significant frequency shifts are observed for the z breathing mode around θ=0° and 60°, while the frequency is a constant in a wide range [8,55]°. Using the z breathing mode, a mechanical nanoresonator is proposed to operate on a robust resonant frequency in terahertz range.
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2012
U6  - http://dx.doi.org/10.1063/1.4735246
ER  - 
TY  - JOUR
A1  - Msekh, Mohammed Abdulrazzak
A1  - Sargado, M.
A1  - Jamshidian, M.
A1  - Areias, Pedro
A1  - Rabczuk, Timon
T1  - ABAQUS implementation of phase_field model for brittle fracture
JF  - Computational Materials Science
N2  - ABAQUS implementation of phase_field model for brittle fracture
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2015
SP  - 472
EP  - 484
ER  - 
TY  - JOUR
A1  - Vu-Bac, N.
A1  - Silani, Mohammad
A1  - Lahmer, Tom
A1  - Zhuang, Xiaoying
A1  - Rabczuk, Timon
T1  - A unified framework for stochastic predictions of Young's modulus of clay/epoxy nanocomposites (PCNs)
JF  - Computational Materials Science
N2  - A unified framework for stochastic predictions of Young's modulus of clay/epoxy nanocomposites (PCNs)
KW  - Angewandte Mathematik
KW  - Stochastik
KW  - Strukturmechanik
Y1  - 2015
SP  - 520
EP  - 535
ER  - 
TY  - JOUR
A1  - Silani, Mohammad
A1  - Talebi, Hossein
A1  - Ziaei-Rad, S.
A1  - Hamouda, A.M.S.
A1  - Zi, Goangseup
A1  - Rabczuk, Timon
T1  - A three dimensional Extended Arlequin Method for Dynamic Fracture
JF  - Computational Materials Science
N2  - A three dimensional Extended Arlequin Method for Dynamic Fracture
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2015
SP  - 425
EP  - 431
ER  - 
TY  - JOUR
A1  - Zhao, Jun-Hua
A1  - Jiang, Jin-Wu
A1  - Jia, Yue
A1  - Guo, Wanlin
A1  - Rabczuk, Timon
T1  - A theoretical analysis of cohesive energy between carbon nanotubes, graphene and substrates
JF  - Carbon
N2  - 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.
KW  - Angewandte Mathematik
KW  - Strukturmechanik
Y1  - 2014
U6  - http://dx.doi.org/10.1016/j.carbon.2013.01.041
SP  - 108
EP  - 119
ER  -