English

Nonlinear Elasticity from Atomistic Mechanics

Analysis of PDEs 2012-04-09 v3

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.

Keywords

Cite

@article{arxiv.1202.3858,
  title  = {Nonlinear Elasticity from Atomistic Mechanics},
  author = {C. Ortner and F. Theil},
  journal= {arXiv preprint arXiv:1202.3858},
  year   = {2012}
}

Comments

revised preprint with some minor error corrected and an extended introduction

R2 v1 2026-06-21T20:21:00.402Z