A dual variational principle for nonlinear dislocation dynamics
Analysis of PDEs
2024-03-12 v4 Mathematical Physics
math.MP
Abstract
A dual variational principle is defined for the nonlinear system of PDE describing the dynamics of dislocations in elastic solids. The dual variational principle accounting for a specified set of initial and boundary conditions for a general class of PDE is also developed.
Keywords
Cite
@article{arxiv.2211.00079,
title = {A dual variational principle for nonlinear dislocation dynamics},
author = {Amit Acharya},
journal= {arXiv preprint arXiv:2211.00079},
year = {2024}
}
Comments
This is to appear in the Journal of Elasticity. This version has some added remarks on comparison with the Least Squares method and some added generality in the augmenting potential H. This paper has been assigned to math.AP by arXiV moderators