Nonlinear Elasticity from Atomistic Mechanics

2012/02/17 by C. Ortner, Ortner, C., F. Theil +1
Mathematics · #35J62 #35L72 #65N12 #65N15 #70C20 #Analysis of PDEs (math.AP) #FOS: Mathematics #math.AP #msc:35J62 #msc:35L72 #msc:65N12 #msc:65N15 #msc:70C20

paper · pdf · doi:10.48550/arxiv.1202.3858

revised preprint with some minor error corrected and an extended introduction

arxiv created 2012/04/06 · arxiv updated 2012/04/09

Abstract

We present sharp convergence results for the Cauchy--Born approximation of general classical atomistic interactions, for both static and dynamic problems, for small data.

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