A phase-field approach to Eulerian interfacial energies
Mathematical Physics
2019-05-22 v1 Analysis of PDEs
math.MP
Abstract
We analyze a phase-field approximation of a sharp-interface model for two- phase materials proposed by M. Silhavy [32, 33]. The distinguishing trait of the model resides in the fact that the interfacial term is Eulerian in nature, for it is defined on the deformed configuration. We discuss a functional frame allowing for existence of phase- field minimizers and {\Gamma}-convergence to the sharp-interface limit. As a by-product, we provide additional detail on the admissible sharp-interface configurations with respect to the analysis in [32, 33].
Keywords
Cite
@article{arxiv.1805.04569,
title = {A phase-field approach to Eulerian interfacial energies},
author = {Diego Grandi and Martin Kruzik and Edoardo Mainini and Ulisse Stefanelli},
journal= {arXiv preprint arXiv:1805.04569},
year = {2019}
}
Comments
22 pages