概率断裂分析的随机边界元法

Stochastic Boundary Element Method in ProbabiliticFracture Analysis

应用随机边界元法分析材料弹性常数的随机性和裂纹面随机性对应力强度因子的影响。文中首先简介了随机边界元法，给出了具有随机材料或几何参数的弹性体的边界位移或面力的协方差，进而给出了材料参数和裂纹面随机时应力强度因子均值和方差的计算公式。算例中详细讨论了杨氏模量、泊松比及裂纹面的随机性对应力强度因子的影响。

This paper applies stochastic boundary element methed to analyze the influences of uncertaui ma-terinl parameters and undulation of crack surface on stresa intensity factor. The stochastic boundary el-ement method is first introduced , the mean and deviations of boundary displacements and tractions ofelastic body with random nlaterial and/or geometrical parameters are obtained.Farthermore, themean and variance of stress intensity factore are formulated. As an example the effects of uncertauitiesof Young's modulus, Possion's ratio and undulation of crack surface on plate stress intensity factors areinvestigated in detail.