Abstract
Computational mechanics has had a profound impact on science and technology over the past five decades. It has numerically transformed much of the classical theory models into practical tools for predicting and understanding the complex engineering and science system. A short review is given in this paper on some recent progress in computational solid mechanics at multi-scales.
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Liu X M, You X C, Liu Z L, et al. Atomistic simulations of tension properties for bi-crystal copper with twist grain boundary. J Phys D: Appl Phys, 2009, 42:035404
Guo Y, Zhuang Z, Li X Y, et al. An investigation of the combined size and rate effects on the mechanical responses of FCC metals. Int J Solid Struct, 2007, 44:1180–1195
Liu X M, Liu Z L, You X C, et al. Theoretical strength of FCC single crystal copper based on a continuum model. Chin Phys Lett, 2009, 26: 026103
Zhao X C, Zhuang Z, Liu Z L, et al. The study of grain boundary density effect on multi-grain thin film under tension. Comput Mater Sci, 2012, 53:175–186
Hao P F, Yao Z H, Zhang X W, et al. Study of dynamic hydrophobicity of micro-structured hydrophobic surfaces and lotus leaves. Sci China Phys Mech Astron, 2011, 54:675–682
Liu Z L, Liu X M, Zhuang Z, et al. A multi-scale computational model of crystal plasticity at submicron-to-nanometer scales. Int J Plast, 2009, 25:1436–1455
Greer J, Oliver W, Nix W. Size dependence of mechanical properties of gold at the micron scale in the absence of strain gradients. Acta Mater, 2005, 53:1821
Gao Y, Zhuang Z, You X C. A hierarchical dislocation-grain boundary interaction model based on 3D discrete dislocation dynamics and molecular dynamics. Sci China Phys Mech Astron, 2011, 54:625–632
Gao Y, Zhuang Z, Liu Z L, et al. Investigations of pipe-diffusion-based dislocation climb by discrete dislocation dynamics. Int J Plast, 2011, 27:1055–1071
Liu Z L, Liu X M, Zhuang Z, et al. A typical three-stage-hardening mechanical behavior of Cu single-crystal micro-pillars. Script Mater, 2009, 60:594–597
Fish J. Bridging the scales in nano engineering and science. J Nanopart Res, 2006, 8:577–594
Belytschko T, Black T. Elastic crack growth in finite elements with minimal remeshing. Int J Numer Meth Eng, 1999, 45:601–620
Liao J H, Zhuang Z. ALagrange-multiplier-based XFEM to solve pressure Poisson equations in problems with quasi-static interfaces. Sci China Phys Mech Astron, 2012, 55:693–705
Zhuang Z, Cheng B B. Equilibrium state of mode-I sub-interfacial crack growth in bi-materials. Int J Fract, 2011, 170:27–36
Deng H X, Shi H J, Yu H C, et al. Determination of mixed-mode interfacial fracture toughness for thermal barrier coatings. Sci China Phys Mech Astron, 2011, 54:618–624
Zhuang Z, Cheng B B. A novel enriched CB shell element method for simulating arbitrary crack growth in pipes. Sci China Phys Mech Astron, 2011, 54:1520–1531
Liu B, Fang D N. Domain-switching embedded nonlinear electromechanical finite element method for ferroelectric ceramics. Sci China Phys Mech Astron, 2011, 54:606–617
Cen S, Fu X R, Zhou G H, et al. Shape-free finite element method: The plane hybrid stress-function (HS-F) element method for anisotropic materials. Sci China Phys Mech Astron, 2011, 54:653–665
Zheng X P, Liu D H, Liu Y H. Thermoelastic coupling problems caused by thermal contact resistance: A discontinuous Galerkin finite element approach. Sci China Phys Mech Astron, 2011, 54:666–674
Chen Y, Jiang M Q, Dai L H. How does the initial free volume distribution affect shear band formation in metallic glasses? Sci China Phys Mech Astron, 2011, 54:1488–1494
Cao Y P, Ji X Y, Feng X Q. On determination of the damping factor of linear viscoelastic materials using dynamic indentation: A theoretical study. Sci China Phys Mech Astron, 2011, 54:598–605
Yao X F, Ma Y J, Yin Y J, et al. Design theory and dynamic mechanical characterization of the deployable composite tube hinge. Sci China Phys Mech Astron, 2011, 54:633–639
Belytschko T, Fish J, Englemann B E. A finite element with embedded localization zones. Comput Meth Appl Mech Eng, 1988, 70:59–89
Fish J. The s-version of the finite element method. Comput Struct, 1992, 43:539–547
Fish J, Fares N. Micromechanical elastic cracktip stresses in a fibrous composite. Int J Fract, 1993, 60:135–146
Kikuchi M, Wada Y. Interaction effect analysis of two surface cracks using s-version FEM. In: ASME Conference Proceedings, 2009, 48241
Maitireyimu M, Kikuchi M. Numerical study of the interaction behavior of two non-coplanar cracks in round bars under cyclic bending. J Solid Mech Mater Eng, 2011, 5:75–89
Dhia H B, Rateau G. Application of the Arlequin method to some structures with defects. Rev Eur Éléments, 2002, 11:291–304
Xiao S, Belytschko T. A bridging domain method for coupling continua with molecular dynamics. Comput Meth Appl Mech Eng, 2004, 193:1645–1669
Yu Y, Baoyin H X, Li J F. Dynamic modelling and analysis of space webs. Sci China Phys Mech Astron, 2011, 54:783–791
Zhang J, Zhai K, Wang T S. Control of large angle maneuvers for the flexible solar sail. Sci China Phys Mech Astron, 2011, 54:770–776
Wang J X, Baoyin H X, Li J F, et al. Optimal four-impulse rendezvous between coplanar elliptical orbits. Sci China Phys Mech Astron, 2011, 54:792–802
Yang K, Xu S J. Wing tip vortex structure behind an airfoil with flaps at the tip. Sci China Phys Mech Astron, 2011, 54:743–747
Chen Y, Baoyin H X, Li J F. Design and optimization of a trajectory for Moon departure near Earth asteroid exploration. Sci China Phys Mech Astron, 2011, 54:748–755
Guo T D, Jiang F H, Baoyin H X, et al. Fuel optimal low thrust rendezvous with outer planets via gravity assist. Sci China Phys Mech Astron, 2011, 54:756–769
Yan H, Li L M, Hu C H, et al. Astronaut mass measurement using linear acceleration method and the effect of body non-rigidity. Sci China Phys Mech Astron, 2011, 54:777–782
Liu Y S, Cui G X, Wang Z S, et al. A composite model for complex building street configuration in a large eddy simulation of local urban atmospheric environment. Sci China Phys Mech Astron, 2011, 54:716–723
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Zhuang, Z., Maitireyimu, M. Recent research progress in computational solid mechanics. Chin. Sci. Bull. 57, 4683–4688 (2012). https://doi.org/10.1007/s11434-012-5580-6
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DOI: https://doi.org/10.1007/s11434-012-5580-6