Effective toughness of heterogeneous brittle materials
Abstract
A heterogeneous brittle material characterized by a random field of local toughness Kc(x) can be represented by an equivalent homogeneous medium of toughness, Keff. Homogenization refers to a process of estimating Keff from the local field Kc(x). An approach based on a perturbative expansion of the stress intensity factor along a rough crack front shows the occurrence of different regimes depending on the correlation length of the local toughness field in the direction of crack propagation. A `"weak pinning" regime takes place for long correlation lengths, where the effective toughness is the average of the local toughness. For shorter correlation lengths, a transition to "strong pinning" occurs leading to a much higher effective toughness, and characterized by a propagation regime consisting in jumps between pinning configurations.
Keywords
Cite
@article{arxiv.cond-mat/0409045,
title = {Effective toughness of heterogeneous brittle materials},
author = {Stephane Roux and Damien Vandembroucq and Francois Hild},
journal= {arXiv preprint arXiv:cond-mat/0409045},
year = {2015}
}