Cauchy-Born Rule and the Stability of Crystalline Solids: Dynamic Problems

Cauchy-Born Rule and the Stability of Crystalline Solids: Dynamic Problems
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DOI:
10.1007/s10255-007-0393
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发表时间:
2007-10
期刊:
Acta Mathematicae Applicatae Sinica, English Series
影响因子:
--
通讯作者:
E. Wei-nan;Ming Ping-bing
E. Wei-nan;Ming Ping-bing
中科院分区:
其他
文献类型:
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作者:
E. Wei-nan;Ming Ping-bing

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本文研究了结晶固体在零温下弹性动力学的连续介质模型和原子模型。我们建立了由著名的柯西-玻恩规则推导出的非线性弹性波方程有效性的精确准则。
AbstractWe 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.