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


Submitted Paper

Inserted: 30 may 2022
Last Updated: 24 nov 2022

Year: 2022


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