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 equations derived from th...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 equations derived from the well-known Cauchy-Born rule.展开更多
基金an NSFgrant DMS 04-07866theproject"Research Team on Complex Systems"of the Chinese Academy of Sciences+1 种基金the National Basic Research Program(No.2005CB321704)the National Natural Science Foundation of China(No.10571172)
文摘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 equations derived from the well-known Cauchy-Born rule.
