TY - JOUR A1 - Ghorashi, Seyed Shahram A1 - Lahmer, Tom A1 - Bagherzadeh, Amir Saboor A1 - Zi, Goangseup A1 - Rabczuk, Timon T1 - A stochastic computational method based on goal-oriented error estimation for heterogeneous geological materials JF - Engineering Geology N2 - A stochastic computational method based on goal-oriented error estimation for heterogeneous geological materials KW - Angewandte Mathematik KW - Stochastik KW - Strukturmechanik Y1 - 2016 ER - TY - JOUR A1 - Jiang, Jin-Wu A1 - Park, Harold S. A1 - Gall, K. A1 - Leach, A. A1 - Rabczuk, Timon T1 - A Surface Stacking Fault Energy Approach to Predicting Defect Nucleation in Surface-Dominated Nanostructures JF - Journal of the Mechanics and Physics of Solids N2 - A Surface Stacking Fault Energy Approach to Predicting Defect Nucleation in Surface-Dominated Nanostructures KW - Angewandte Mathematik KW - Strukturmechanik Y1 - 2013 ER - TY - JOUR A1 - 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 - 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 - 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 - 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 - 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 - Eckardt, Stefan A1 - Könke, Carsten T1 - Adaptive damage simulation of concrete using heterogeneous multiscale models JF - Journal of Algorithms & Computational Technology N2 - Adaptive damage simulation of concrete using heterogeneous multiscale models KW - Angewandte Mathematik KW - Strukturmechanik Y1 - 2008 SP - 275 EP - 297 ER - TY - JOUR A1 - 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 - 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 - 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-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 - 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 - 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 - 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 - 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 - Zabel, Volkmar T1 - An application of discrete wavelet analysis and connection coefficients to parametric system identification JF - Structural Health Monitoring N2 - An application of discrete wavelet analysis and connection coefficients to parametric system identification KW - Angewandte Mathematik KW - Strukturmechanik Y1 - 2005 SP - 5 EP - 18 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 - Brehm, Maik A1 - Zabel, Volkmar A1 - Bucher, Christian T1 - An automatic mode pairing strategy using an enhanced modal assurance citerion based on modal strain energies JF - Journal of Sound and Vibration N2 - 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. KW - Angewandte Mathematik KW - Strukturmechanik Y1 - 2010 U6 - http://dx.doi.org/10.1016/j.jsv.2010.07.006 SP - 5375 EP - 5392 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 -