The problem of dynamic cavitation in nonlinear elasticity
Analysis of PDEs
2017-09-05 v3
Abstract
The notion of singular limiting induced from continuum solutions (slic-solutions) is applied to the problem of cavitation in nonlinear elasticity, in order to re-assess an example of non-uniqueness of entropic weak solutions (with polyconvex energy) due to a forming cavity.
Cite
@article{arxiv.1408.0831,
title = {The problem of dynamic cavitation in nonlinear elasticity},
author = {Jan Giesselmann and Alexey Miroshnikov and Athanasios E. Tzavaras},
journal= {arXiv preprint arXiv:1408.0831},
year = {2017}
}
Comments
link to the published article http://slsedp.cedram.org/item?id=SLSEDP_2012-2013____A14_0