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本文尝试用可靠性设计概念去分析断裂力学K-准则。在裂纹扩展阻力K_C 和裂纹扩展驱动力K 是服从正态分布的随机变量函敉的情况,将可靠性看作是裂纹扩展阻力K_C 超过裂纹扩展驱动力K 的概率。从而得出可靠性设计基本方程式。并导出了作为多元随机变量函数K 的均值和标准偏差的精确表达式。对有表面裂纹的高强度钢制薄壁压力容器“先漏后爆”进行了可靠性断裂力学分析、予测了爆破压力,并与全尺寸爆破试验结果进行了比较。证明了可靠性指标是优越的。
This article attempts to analyze the fracture mechanics K-criterion using the reliability design concept. In the case where the crack propagation resistance K_C and the crack propagation driving force K are random variables that follow a normal distribution, the reliability is regarded as the probability that the crack propagation resistance K_C exceeds the crack propagation driving force K. The basic equation of reliability design is thus obtained. The exact expression of the mean and standard deviation of the function K as a multivariate random variable is derived. The reliability fracture mechanics analysis was performed on the “first leakage and post-explosion” of high-strength steel thin-walled pressure vessels with surface cracks. The blast pressure was predicted and compared with the results of full-scale blasting tests. It is proved that the reliability index is superior.