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. Differently from previous works, 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 showing that it is independent of the crack extension.

Crack growth by vanishing viscosity in planar elasticity

Lucardesi, I
2020-01-01

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. Differently from previous works, 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 showing that it is independent of the crack extension.
2020
Almi, S; Lazzaroni, G; Lucardesi, I
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11568/1210942
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