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 -