Cauchy-Born rule and the stability of crystalline solids: Dynamic problems

E. Wei-Nan, Ming Ping-Bing

Research output: Contribution to journalArticlepeer-review

26 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)529-550
Number of pages22
JournalActa Mathematicae Applicatae Sinica
Volume23
Issue number4
DOIs
StatePublished - Oct 2007

All Science Journal Classification (ASJC) codes

  • Applied Mathematics

Keywords

  • Cauchy-Born rule
  • Crystal elasticity
  • Stability of crystals

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