含有随机分布缺陷的弹性介质
Elastic Media with Randomly Distributed Defects
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摘要: 本文对含有随机分布缺陷的固体中弹性场进行了研究.这些缺陷被简化成微空洞或微裂纹等.它们的位置、方位以及尺寸等都是一些随机参量.作者提出了随机点场模型用于描述这些参量的统计特性,并发展了随机缺陷介质的基本场方程及其解法.对于空洞及微裂纹两种缺陷形固体具体得到了弹性场在其中的分布形态.Abstract: In this paper, the clastic field in a solid with randomly distributed defects is derived. These defects are composed of cavities and microcracks, whose locations, orientation and size are random variables. The Random Point field Model is proposed to describe the random defects, and the basic equations far elastic field in a random defect medium are dcveloped Two exaniples are studied in detail. One is a solid with random microcracks and the other is a solid with ellipsoidal cavities.
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[1] Budiansky,B.and R.J.O'Connell,Elastic moduli of a cracked solid,Int.J.Solids Structures,12(1976). [2] 王彪,随机夹杂理论,哈尔滨工业大学博士论文(1988). [3] Kunin,I.A.,Elastic Media with Microstructure,ll.Three-dimensional problems,Springer-Verlag(1983). [4] Hoeing,A.,Elastic moduli of non-randomly cracked body Int.J.Solids Structures,15(1979). -
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