Scaling laws in fracture
Physical review. B, Condensed matter1989Vol. 40(1), pp. 877–880
Citations Over TimeTop 10% of 1989 papers
Abstract
We studied numerically the fracture of three types of disordered media: a scalar, a central-force, and a beam model. We discovered the following novel, universal laws: in an initial regime, force and displacement both scale as ${L}^{0.75}$ with the system size L; the number of bonds that break scales during the whole process as ${L}^{1.7}$, and the distribution of local forces is multifractal just before the system breaks, whereas it has constant-gap scaling when catastrophic breaking sets in.
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