| Cauchy-Born Rule and the Stability of Crystalline Solids： Dynamic Problems |
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| 作者姓名： | Wei-nan E Ping-bing Ming |
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| 作者单位： | Department of |
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| 基金项目： | Supported in part by an NSF grant DMS 04-07866, with additional support from the project ＂Research Team on Complex Systems＂ of the Chinese Academy of Sciences Supported by the National Basic Research Program （No.2005CB321704） and the National Natural Science Foundation of China （No.10571172）. |
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| 摘 要： | We study continuum and atomistic models for the elastodynamics of crystalline solids at zerotemperature.We establish sharp criterion for the regime of validity of the nonlinear elastic wave equationsderived from the well-known Cauchy-Born rule.
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| 关 键 词： | 柯西-博恩定理 晶体稳定性 固体 动力学问题 |
| 收稿时间： | 7 November 2006 |
| 修稿时间： | 2006-11-07 |
Cauchy-Born Rule and the Stability of Crystalline Solids: Dynamic Problems |
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| Wei-nan E Ping-bing Ming.Cauchy-Born Rule and the Stability of Crystalline Solids: Dynamic Problems[J].Acta Mathematicae Applicatae Sinica,2007,23(4):529-550. |
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| Authors: | E?Wei-nan Ming?Ping-bing |
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| Institution: | (1) Department of Mathematics and PACM, Princeton University, Princeton;(2) LSEC, Institute of Computational Mathematics and Scientific/Engineering Computing, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing, 100080, China |
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| Abstract: | 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. |
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| Keywords: | Crystal elasticity Cauchy-Born rule stability of crystals |
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