疲劳损伤系统裂尖粒子运动随机分叉理论研究

采用随机分叉理论，探讨疲劳损伤系统裂尖粒子运动性质突变.利用一维扩散过程的奇点理 论，并结合能量包络的随机平均法，建立了随机扰动的疲劳损伤同宿分叉系统裂尖粒子运动 模型；通过研究奇异边界的扩散指数、漂移指数以及特征指数特性，考查疲劳损伤裂尖粒子 运动的同宿分叉系统受参激白噪声影响的分叉行为. 关键词：

On Stochastic Bifurcation Behavior of the Atom Movement at the Tip of a Crack in Fatigue Damage System

By virtue of the stochastic bifurcation theory　the transition of the atom moveme nt at a crack tip in fatigue damage system is investigated.Using the singular po int theory of one－dimensional diffusion process and the stochastic averaging ap proach of energy envelope　a micro－model to describe the atom movement at the cr ack tip in homoclinic bifurcation fatigue damage system　which is in the presence of stochastic perturbation　is established.After the study on the characteristic of the diffusion exponent　the drift exponent and the character exponent of the fatigue damage diffusion process on singular boundary　the bifurcation behavior o f a homoclinic bifurcation fatigue damage system　which is in the presence of par ametric white noise　is examined.