Nonequilibrium brittle fracture propagation: Steady state, oscillations and intermittency
Abstract
A minimal model is constructed for two-dimensional fracture propagation. The heterogeneous process zone is presumed to suppress stress relaxation rate, leading to non-quasistatic behavior. Using the Yoffe solution, I construct and solve a dynamical equation for the tip stress. I discuss a generic tip velocity response to local stress and find that noise-free propagation is either at steady state or oscillatory, depending only on one material parameter. Noise gives rise to intermittency and quasi-periodicity. The theory explains the velocity oscillations and the complicated behavior seen in polymeric and amorphous brittle materials. I suggest experimental verifications and new connections between velocity measurements and material properties.
Keywords
Cite
@article{arxiv.cond-mat/9605010,
title = {Nonequilibrium brittle fracture propagation: Steady state, oscillations and intermittency},
author = {Raphael Blumenfeld},
journal= {arXiv preprint arXiv:cond-mat/9605010},
year = {2009}
}
Comments
To appear in Phys. Rev. Lett., 6 pages, self-contained TeX file, 3 postscript figures upon request from author at [email protected] or [email protected], http://cnls-www.lanl.gov/homepages/rafi/rafindex.html