Mf. Xia et al., THRESHOLD DIVERSITY AND TRANS-SCALES SENSITIVITY IN A FINITE NONLINEAR EVOLUTION MODEL OF MATERIALS FAILURE, Physics letters. A, 236(1-2), 1997, pp. 60-64
We present a slice-sampling method and study the ensemble evolution of
a large finite nonlinear system in order to model materials failure.
There is a transitional region of failure probability. Its size effect
is expressed by a slowly decaying scaling law. In a meso-macroscopic
range (similar to 10(5)) in realistic failure, the diversity cannot be
ignored. Sensitivity to mesoscopic details governs the phenomena. (C)
1997 Published by Elsevier Science B.V.