双轴张力下随机取向分布园裂纹对脆性破坏的统计影响

双轴张力下随机取向分布园裂纹对脆性破坏的统计影响 STATISTICAL EFFECT OF RANDOM ORIENTATED DISTRIBUTED EMBEDDED PENNY—SHAPED CRACKS ON BRITTLE RUPTURE OF SOLIDS UNDER BIAXIAL LOADINGS 田德诚 Tian Decheng first-author 本文根据最弱环节概念研究了三维介质中随机取向、大小及分布的园裂纹对脆性破坏的统计影响。利用以前得到的关于双轴载荷下三维介质中园裂纹取向对断裂应力影响的结果【1】,本文的结论是破坏几率为比例应力的Weibull函数。本文结果可应用于园筒状高压容器在内压作用下破坏的统计分析。 The problem of the statistical effect of embedded penny-shaped cracks with random orientations, sizes and locations on fracture has been investigated on the basis of the weakest—link concept, Taking advantage of a formula derived by us concerning the orientation dependence of the fracture stress under biaxial loadings, we arrived at the conclusion that the rupturc probability is a Weibull function of the proportional stress. Our results can be applied to the statistical analysis of rupture of the cylindrical high-pressure vessels. 1982-03-01 2021-04-01 3