ON FINITE DEFORMATION OF COMPOSITES WITH PERIODIC MICROSTRUCTURE

被引：9

作者：

AGAHTEHRANI, A

机构：

[1] Department of Theoretical and Applied Mechanics, University of Illinois, Urbana-Champaign, Urbana

来源：

MECHANICS OF MATERIALS | 1990年 / 8卷 / 04期

关键词：

D O I：

10.1016/0167-6636(90)90046-I

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

By incorporating the periodic Green function, which is obtained from the instantaneous nominal moduli of the matrix, in the method of periodic structures (MPS), and utilizing the extremum principles of Hashin and Shtrikman (1962), the overall moduli of a rate-independent elastic-plastic matrix reiforced with periodic distribution of cylindrical inclusions are obtained. The MPS, itself, is re-examined by homogenizing the quasi-static rate equilibrium equations and utilizing a periodic stress-free velocity gradient. It is shown that by evaluating the instantaneous nominal moduli of the matrix based on the velocity gradient in the matrix adjacent to the inclusion, instead of the average velocity gradient in the matrix, a lower bound to the overall moduli can be obtained. The numerical example involves analysis of the growth of circular cylindrical cavities in an isotropically hardening matrix. © 1990.

引用

页码：255 / 268

页数：14

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