A dynamic model for viscoelastic materials with prescribed growing cracks
Analysis of PDEs
2025-10-06 v3 Functional Analysis
Abstract
In this paper we prove the existence of solutions for a class of viscoelastic dynamic systems on time--dependent cracked domains, with possibly degenerate viscosity coefficients. Under stronger regularity assumptions we also show a uniqueness result. Finally, we exhibit an example where the energy--dissipation balance is not satisfied, showing there is an additional dissipation due to the crack growth.
Cite
@article{arxiv.1904.13104,
title = {A dynamic model for viscoelastic materials with prescribed growing cracks},
author = {Maicol Caponi and Francesco Sapio},
journal= {arXiv preprint arXiv:1904.13104},
year = {2025}
}