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arXiv · 1906.02631

Crack growth by vanishing viscosity in planar elasticity

Stefano Almi·Giuliano Lazzaroni·Ilaria Lucardesi
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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.

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Stefano Almi, Giuliano Lazzaroni, Ilaria Lucardesi. 2019-06-06. Crack growth by vanishing viscosity in planar elasticity. https://arxiv.org/abs/1906.02631

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