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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 L0.75 with the system size L; the number of bonds that break scales during the whole process as L1.7, 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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Arcangelis et al. (1989) studied this question.
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