Crack growth by vanishing viscosity in planar elasticity
Analysis of PDEs
2019-06-07 v1
Abstract
We show the existence of quasistatic evolutions in a fracture model for brittle materials by a vanishing viscosity approach, in the setting of planar linearized elasticity. The crack is not prescribed a priori and is selected in a class of (unions of) regular curves. To prove the result, it is crucial to analyze the properties of the energy release rate.
Keywords
Cite
@article{arxiv.1906.02631,
title = {Crack growth by vanishing viscosity in planar elasticity},
author = {Stefano Almi and Giuliano Lazzaroni and Ilaria Lucardesi},
journal= {arXiv preprint arXiv:1906.02631},
year = {2019}
}