Crack growth by vanishing viscosity in planar elasticity
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.
- Publication:
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arXiv e-prints
- Pub Date:
- June 2019
- DOI:
- 10.48550/arXiv.1906.02631
- arXiv:
- arXiv:1906.02631
- Bibcode:
- 2019arXiv190602631A
- Keywords:
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- Mathematics - Analysis of PDEs