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 / Almi, S; Lazzaroni, G; Lucardesi, I. - In: MATHEMATICS IN ENGINEERING. - ISSN 2640-3501. - ELETTRONICO. - 2:(2020), pp. 141-173. [10.3934/mine.2020008]
Crack growth by vanishing viscosity in planar elasticity
Lazzaroni, G
;Lucardesi, I
2020
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.
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