工程弹塑性断裂随机分析的多维插值方法  

AN INTERPOLATION METHOD FOR STOCHASTIC ANALYSIS OF ENGINEERING ELASTIC-PLASTIC FRACTURE

作　　者：李建康[1] 孙训方[2] 

机构地区：[1]兰州铁道学院土木工程系,兰州730070 [2]西南交通大学应用力学与工程系,成都610031

出　　处：《工程力学》2002年第3期69-73,共5页Engineering Mechanics

基　　金：冻土工程国家重点实验室基金资助(200102)

摘　　要：为解决用确定性有限元或已有无量纲断裂参数表值时进行弹塑性断裂随机分析的问题，本文研究了利用数值插值方法进行随机参数计算的可行性。以单边裂纹板为例，根据确定性有限元计算的无量纲断裂参数表值，通过多维插值计算获得断裂参数及其对基本随机变量变化率，应用“弹塑性断裂随机分析的工程方法”进行弹塑性断裂随机分析。算例表明在敏感区用插值方法计算的结果小于用随机有限元方法计算的结果。In probabilistic fracture analysis, it is necessary to evaluate the mean values and variances of fracture parameters. The mean values are usually computed by normal finite element method while the variances are often obtained using stochastic finite element method. In this paper, an interpolation method for stochastic analysis of engineering elastic-plastic fracture is introduced. In the present method, the mean values and the variances of fracture parameters are computed with reference to a table, which has been set up in advance. It is shown that the computed results by the interpolation method are smaller than those by stochastic finite element method in sensitive zone.

关 键 词：弹塑性断裂力学 工程方法 有限元插值方法 随机分析 

分 类 号：O346.1[理学—固体力学] O344[理学—力学]