弹塑性断裂随机分析的工程方法

ENGINEERING METHOD FOR ELASTIC-PLASTIC FRACTURE STOCHASTIC ANALYSIS

为解决弹塑性断裂随机分析的参数计算问题 ,发展了前人的“弹塑性断裂力学工程方法”。以单边裂纹板为例 ,应用随机有限元进行全塑性无量纲断裂参数及其对基本随机变量变化率表值的计算 ,借助表值 ,通过插值进行断裂参数的计算和弹塑性断裂随机分析。结果表明工程估算方法与直接随机有限元方法所得结果较接近。

To solve problems of parameters calculation for elastic plastic fracture stochastic analysis the elastic plastic fracture mechanics engineering method was developed in this paper. At first, the table values of elastic and fully plastic fracture non dimensional parameters and their derivatives with respect to a basic stochastic variable were calculated by applying stochastic finite element method and as an example the calculations were for a single edged crack plate. Through interpolating the table values of elastic and fully plastic non dimensional fracture parameters and their varying rates the elastic plastic fracture parameters were calculated. And then, the elastic plastic fracture probability analysis could be done. It has been found that the values estimated by the engineering method are closed to those which calculated directly by applying stochastic finite element.