Stochastic properties of semi-elliptical surface crack propagation based upon Newman-Raju's K-expression
Stochastic properties of semi-elliptical surface crack propagation based upon Newman-Raju's K-expression
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基于Newman-Raju K 表达式的半椭圆表面裂纹扩展的随机特性
DOI：
10.1016/0013-7944(89)90252-x
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发表时间：
1989
影响因子：
5.4
通讯作者：
Hiroaki Tanaka
中科院分区：
文献类型：
--
作者：
Hiroaki Tanaka
基于纽曼和Raju提出的应力强度因子表达式，将半椭圆表面裂纹在平稳随机载荷作用下的随机扩展问题作为一个二维随机过程进行了研究。根据三个假设：（i）试件尺寸与裂纹尺寸相比足够大，（ii）材料性质不是随机的，（iii）巴黎定律在表面方向和深度方向都适用，首先通过变量变换导出广义Fokker-Planck方程，并以解析形式求解。其次，利用该解，还导出了任意极限状态下的剩余寿命分布函数的解析形式。该分布函数易于数值求解，在可靠度分析中有广泛的应用前景。
Based upon the expression proposed by Newman and Raju for the stress intensity factor, the stochastic propagation of semi-elliptical surface crack under stationary random loading is investigated as a bivariate stochastic process. Under three assumptions: (i) specimen's size is sufficiently large compared with the crack size; (ii) material's property is not random and (iii) Paris' law is applicable in both surface direction and depth direction, first the generalized Fokker-Planck equation is derived through the transformation of variables, and it is solved in an analytical form. Next, by the use of the solution, the residual life distribution function is also derived in an analytical form for arbitrary limit state function. This distribution function can easily be evaluated numerically, and will be widely applicable to the reliability analysis.
影响因子：
5.4
作者：
NEWMAN, JC;RAJU, IS
通讯作者：
RAJU, IS