Coarsening of cracks in a uniaxially strained solid

Citation
Ea. Brener et al., Coarsening of cracks in a uniaxially strained solid, PHYS REV L, 86(7), 2001, pp. 1291-1294
Citations number
11
Categorie Soggetti
Physics
Journal title
PHYSICAL REVIEW LETTERS
ISSN journal
00319007 → ACNP
Volume
86
Issue
7
Year of publication
2001
Pages
1291 - 1294
Database
ISI
SICI code
0031-9007(20010212)86:7<1291:COCIAU>2.0.ZU;2-C
Abstract
We discuss the stress relaxation in a uniaxially strained solid due to the coarsening of a system of parallel cracks. We emphasize similarities and di fferences of this process to Ostwald ripening in a first order phase transi tion. A conventional mean-field approximation breaks down and several indep endent length scales have to be taken into account. Strong elastic interact ions between the cracks determine the growth behavior. We derive scaling la ws for the coarsening of the different length scales involved and the time evolution of stress relaxation, finally leading to the equilibrium state of a fractured body. The characteristic size of the cracks grows linearly in time which is much faster than in usual Ostwald ripening.