Cohesive fracture in 1D: quasi-static evolution and derivation from static phase-field models
Analysis of PDEs
2020-12-30 v2
Abstract
In this paper we propose a notion of irreversibility for the evolution of cracks in presence of cohesive forces, which allows for different responses in the loading and unloading processes, motivated by a variational approximation with damage models. We investigate its applicability to the construction of a quasi-static evolution in a simple one-dimensional model. The cohesive fracture model arises naturally via Gamma-convergence from a phase-field model of the generalized Ambrosio-Tortorelli type, which may be used as regularization for numerical simulations.
Cite
@article{arxiv.2004.11290,
title = {Cohesive fracture in 1D: quasi-static evolution and derivation from static phase-field models},
author = {Marco Bonacini and Sergio Conti and Flaviana Iurlano},
journal= {arXiv preprint arXiv:2004.11290},
year = {2020}
}