Mixed finite element and atomistic formulation for complex crystals

Keywords

Finite element method, Nonlinear system, Statistical physics, Homogeneous space, Separable space

References

• Electronic structure and the properties of solidsWalter A. Harrison — 1980
• Numerical methods for unconstrained optimization and nonlinear equationsJ. E. Dennis, Robert B. Schnabel — 1983
• Mathematical foundations of elasticityJerrold E. Marsden, Thomas J.R. Hughes, Donald E. Carlson — 1982
• Inner elasticityC S G Cousins — 1978
• Numerical Methods for Unconstrained Optimization and Nonlinear EquationsJ. E. Dennis, Robert B. Schnabel — 1996

Cited by

• Symmetry-Adapted Molecular Modeling of Nanostructures and BiomembranesA. Aghaei — 2013
• On Aspects of Mixed Continuum-Atomistic Material ModellingR. Sunyk — 2004
• Mechanical properties of nanoscale and atomic scale materials: Nanocrystalline copper and grapheneXiaoding Wei — 2009
• Temperature-dependent homogenization technique and nanoscale meshfree particle methodsWeixuan Yang — 2007
• Computational analysis of thermodynamic and mechanical properties of nano-materialsHuijuan Zhao — 2010
• Handbook of Micromechanics and NanomechanicsShaofan Li, X.-L. Gao — 2013
• Atomistic-Based Finite Element Simulation of Carbon NanotubesYang Yang — 2008
• Modeling Materials: Continuum, Atomistic and Multiscale TechniquesEllad B. Tadmor, Ronald E. Miller — 2011
• ATOMISTIC-CONTINUUM MECHANICAL MODELS FOR DEFORMATIONS OF SINGLE-WALLED CARBON NANOTUBESKarthick Chandraseker — 2008
• Electromechanical characterization of quasi-one dimensional nanostructures of silicon, carbon, and molybdenum disulfide via symmetry-adapted tight-binding molecular dynamics.Dong-Bo Zhang — 2010
• Simulation multi-échelles des solides par une approche couplée dynamique moléculaire/éléments finis. De la modélisation à la simulation haute performance. (Multiscale simulation of solids by coupling molecular dynamics with finite elements. From numeric model to high performance simulation)Guillaume Anciaux — 2007
• The Quasicontinuum Method: Overview, applications and current directionsRonald E. Miller, Ellad B. Tadmor — 2002
• Meshless simulation for thermo-mechanical properties of single-walled carbon nanotubes based on the thermal-related higher order Cauchy-Born ruleXu Guo, Xiangyang Wang — 2011
• Constrained sequential lamination: nonconvex optimization and material microstructureMatt Fago — 2004
• Modeling of deformations of single-walled carbon nanotubesChao Fang — 2012
• Concurrent atomistic–continuum simulation of polycrystalline strontium titanateShengfeng Yang, Ning Zhang, Youping Chen — 2015
• Homogenization-based Analysis of Quasicontinuum Method for Complex CrystalsAssyr Abdulle, Ping Lin, Alexander V. Shapeev — 2010
• Multi-physics system modeling of a pneumatic micro actuatorGustavo Aldolfo Ardila Rodriguez, Carole Rossi, Kaili Zhang — 2008
• Multiscale modeling of nanoindentation-induced instability in FeNi3 crystalKai Xiong, Xiaohui Liu, Jianfeng Gu — 2015
• Investigation of temperature effect on the mechanical properties of single-walled carbon nanotubesK.M. Liew, Jun Yan, Yuzhou Sun — 2011

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