摘要
基于脆性材料中裂纹尺度的分形分布和最弱环原理的假设，导出了裂纹尺频分布的分形维数Ｄ与经典统计强度理论中Ｗｅｉｂｕｌｌ模量ｍ之间的关系，揭示了ｍ的几何实质．并且同时考虑裂纹的尺度分布和方位分布及裂纹扩展路径的不规则性对统计强度的影响，从理论上推导了复杂应力状态下脆性材料统计强度σ的一般表达式。
Based on the hypotheses of the fractal distribution of crack sizes in brittle materials and the weakest link pinciple, the relationship between the fractal dimension of the size-frequency distribution of cracks and the Weibull modulus is derived. The effects of the distribution of crack sizes. the distribution of crack orintations. and the irregularity of crack surface on the statistical strength are taken into account. Finally, a general expression for the statistical tensile strength of brittle materials obtained.
出处
《固体力学学报》
CAS
CSCD
北大核心
1996年第3期239-245,共7页
Chinese Journal of Solid Mechanics
基金
国家杰出青年科学基金
国家教委跨世纪优秀人才基金
煤炭优秀青年教师基金
煤炭科学基金
关键词
分形维数
强度理论
统计理论
裂纹
脆性材料
size-frequency distribution
weakest link principle
Weibull modulus
fractal dimension
statistical strength theory
