Elastic Media with Randomly Distributed Defects

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 1989 > 10(11): 997-1008

Wang Biao, Wang Dian-fu, Wang Duo. Elastic Media with Randomly Distributed Defects[J]. Applied Mathematics and Mechanics, 1989, 10(11): 997-1008.

Citation:

Wang Biao, Wang Dian-fu, Wang Duo. Elastic Media with Randomly Distributed Defects[J]. Applied Mathematics and Mechanics, 1989, 10(11): 997-1008.

Citation:

Wang Biao, Wang Dian-fu, Wang Duo. Elastic Media with Randomly Distributed Defects[J]. Applied Mathematics and Mechanics, 1989, 10(11): 997-1008.

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.

[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).