Mf. Xia et al., STATISTICAL DESCRIPTION OF PATTERN EVOLUTION IN DAMAGE-FRACTURE, Science in China. Series A, Mathematics, Physics, Astronomy & Technological Sciences, 37(3), 1994, pp. 331-340
A model of dynamical process and stochastic jump has been put forward
to study the pattern evolution in damage-fracture. According to the fi
nal states of evolution processes, the evolution modes can be classifi
ed as globally stable modes (GS modes) arid evolution induced catastro
phic modes (ElC modes); the latter are responsible for fracture. A sta
tistical description is introduced to clarify the pattern evolution in
this paper. It is indicated that the appearance of fracture in disord
ered materials should be depicted by probability distribution function
.