SUCCESSIVE ITERATION METHOD APPLIED TO COMPOSITES CONTAINING SLIDING INCLUSIONS - EFFECTIVE MODULUS AND ANELASTICITY

被引：31

作者：

SHIBATA, S

JASIUK, I

MORI, T

MURA, T

机构：

[1] Department of Materials Science and Engineering, Tokyo Institute of Technology, Midori-ku, Yokohama, 227

[2] Department of Metallurgy, Mechanics and Materials Science, Michigan State University, East Lansing

[3] Department of Civil Engineering, Northwestern University, Evanston

来源：

MECHANICS OF MATERIALS | 1990年 / 9卷 / 03期

关键词：

D O I：

10.1016/0167-6636(90)90005-Z

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The effective shear modulus and Poisson's ratio of a body containing spherical sliding inclusions are calculated. First, the amount of sliding on the surface of a single spherical sliding inclusion is determined so that the tangential traction of the stresses due to the sliding, the Somigliana dislocations, cancels that of the external stresses on the surface of the inclusion. Next, the influence of other inclusions is accounted for by using a successive iteration method based on the average field theory. The successive iteration converges into closed forms, leading to analytical forms of the effective elastic constants. It is shown that the sliding occurs in a first order kinetics, the relaxation time of which is proportional to the radius of the inclusions with a constant depending on the volume fraction of the inclusions. The two-dimensional problem of a body containing aligned cylindrical fibers is also solved.

引用

页码：229 / 243

页数：15

共 37 条

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