A Statistical Theory for the Fracture of Brittle Structures Subjected to Nonuniform Polyaxial Stresses
A Statistical Theory for the Fracture of Brittle Structures Subjected to Nonuniform Polyaxial Stresses
复制标题
非均匀多轴应力下脆性结构断裂的统计理论
DOI：
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发表时间：
1974
期刊：
影响因子：
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通讯作者：
J. G. Crose
中科院分区：
文献类型：
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作者：
S. Batdorf;J. G. Crose
摘要：在断裂仅取决于垂直于裂纹面的应力的假设下，建立了含均匀分布随机取向裂纹的宏观均质各向同性材料的最弱连接理论。将代表在每个正应力值下失效的裂纹数的函数展开为泰勒级数，其系数由拉伸试验数据确定。该函数在没有附加假设的情况下用于确定任意应力条件下的断裂概率。结果可以很容易地纳入有限元代码，以预测任何结构的失效概率的代码适用。（作者）
Abstract : A weakest link theory for macroscopically homogeneous isotropic materials containing uniformly distributed, randomly oriented cracks is developed under the assumption that fracture depends only on the stress normal to a crack plane. The function representing the number of cracks failing at each value of normal stress is expanded as a Taylor series with coefficients determined from tensile test data. This function is used without additional assumptions to determine the probability of fracture under arbitrary stress conditions. The results can be readily incorporated into a finite element code to predict the failure probability of any structure to which the code applies. (Author)