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Cauchy-born Rule and the Stability of Crystalline Solids:Dynamic Problems
Cauchy-born Rule the Stability Crystalline Solids Dynamic Problems
2012/8/7
We study continuum and atomistic models for the elastodynamics of crystalline
solids at zero temperature. We establish sharp criterion for the regime of validity of the
nonlinear elastic wave equati...
Cauchy-Born Rule and the Stability of Crystalline Solids: Static Problems
Atomistic models of solids nonlinear elasticity Cauchy-Born rule stability of crystals
2012/8/1
We study the connection between atomistic and continuum models for the elastic deformation of crystalline solids at zero temperature. We prove, under certain sharp stability conditions, that the corre...