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arXiv · 1012.3945

Fracture as a pattern formation process

M. Fleck·D. Pilipenko·R. Spatschek·E. A. Brener
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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.

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M. Fleck, D. Pilipenko, R. Spatschek, E. A. Brener. 2010-12-17. Fracture as a pattern formation process. https://doi.org/10.1103/physreve.83.046213

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