Calculus of Variations and Geometric Measure Theory
home | mail | papers | authors | news | seminars | events | open positions | login

M. Bonacini - S. Conti - F. Iurlano

Cohesive fracture in 1D: quasi-static evolution and derivation from static phase-field models

created by bonacini on 24 Apr 2020
modified by iurlano on 19 Oct 2020

[BibTeX]

preprint

Inserted: 24 apr 2020
Last Updated: 19 oct 2020

Year: 2020

ArXiv: 2004.11290v2 PDF

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.

Credits | Cookie policy | HTML 5 | CSS 2.1