Scaling Laws of Stress and Strain in Brittle Fracture
arXiv:cond-mat/0505673 · doi:10.1209/0295-5075/80/28002
Abstract
A numerical realization of an elastic beam lattice is used to obtain scaling exponents relevant to the extent of damage within the controlled, catastrophic and total regimes of mode-I brittle fracture. The relative fraction of damage at the onset of catastrophic rupture approaches a fixed value in the continuum limit. This enables disorder in a real material to be quantified through its relationship with random samples generated on the computer.
4 pages and 6 figures