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CAUCHY-BORN RULE AND STABILITY OF CRYSTALLINE SOLIDS AT FINITE TEMPERATURE

Luo, T; Xiang, Y; Yang, JZ; Yuan, C

Luo, T (corresponding author), Shanghai Jiao Tong Univ, MOE LSC, Inst Nat Sci, Sch Math Sci, Shanghai 200240, Peoples R China.; Luo, T (corresponding author), Shanghai Jiao Tong Univ, Qing Yuan Res Inst, Shanghai 200240, Peoples R China.

COMMUNICATIONS IN MATHEMATICAL SCIENCES, 2021; 19 (6): 1461

Abstract

We study the connection between atomistic and continuum models for the elastic deformation of crystalline solids at finite temperature. We prove, unde......

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