Calculus of Variations and Geometric Measure Theory

F. Cianci

Dynamic crack growth in viscoelastic materials with memory

created by cianci on 30 May 2022
modified on 24 Nov 2022

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Submitted Paper

Inserted: 30 may 2022
Last Updated: 24 nov 2022

Year: 2022

Abstract:

In this paper we introduce a model of dynamic crack growth in viscoelastic material, where the damping term depends on the history of the deformation. The model is based on a dynamic energy dissipation balance and on a maximal dissipation condition. Our main result is an existence theorem in dimension two under some a priori regularity constraints on the cracks.

Keywords: elastodynamics, Viscoelasticity, crack growth, evolution problems with memory


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