Dynamic crack growth in viscoelastic materials with memory
Analysis of PDEs
2025-10-24 v1
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
Cite
@article{arxiv.2510.20599,
title = {Dynamic crack growth in viscoelastic materials with memory},
author = {Federico Cianci},
journal= {arXiv preprint arXiv:2510.20599},
year = {2025}
}
Comments
Published in 2023