Fracture as a pattern formation process
Materials Science
2020-02-26 v1
Abstract
A continuum model of crack propagation is presented and discussed. We obtain steady state solutions with a self-consistently selected propagation velocity and shape of the crack, provided that elastodynamic and viscoelastic effects are taken into account. Two different mechanism of crack propagation, a first order phase transition and surface diffusion are considered, and we discuss different loading modes. The arising free boundary problems are solved by phase field methods and a sharp interface approach using a multipole expansion technique.
Cite
@article{arxiv.1012.3945,
title = {Fracture as a pattern formation process},
author = {M. Fleck and D. Pilipenko and R. Spatschek and E. A. Brener},
journal= {arXiv preprint arXiv:1012.3945},
year = {2020}
}