Nonlinear Elasticity from Atomistic Mechanics
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- February 2012
- DOI:
- 10.48550/arXiv.1202.3858
- arXiv:
- arXiv:1202.3858
- Bibcode:
- 2012arXiv1202.3858O
- Keywords:
-
- Mathematics - Analysis of PDEs;
- 65N12;
- 65N15;
- 70C20;
- 35J62;
- 35L72
- E-Print:
- revised preprint with some minor error corrected and an extended introduction