EFFECTS OF THE FIBERS' SHAPE AND VOLUME FRACTION ON THE STRENGTH OF IDEALLY PLASTIC FIBER REINFORCED COMPOSITES

被引：0

作者：

Goldsztein, Guillermo H. ^{[1
]}

机构：

[1] Georgia Inst Technol, Sch Math, Atlanta, GA 30332 USA

来源：

SIAM JOURNAL ON APPLIED MATHEMATICS | 2012年 / 72卷 / 03期

关键词：

ideal plasticity; fiber reinforced composites; homogenization; translation method; antiplane shear; EFFECTIVE MECHANICAL-PROPERTIES; METAL-MATRIX COMPOSITES; YIELD STRENGTH; VARIATIONAL-PRINCIPLES; POLYCRYSTAL PLASTICITY; CONSTITUTIVE BEHAVIOR; SPHEROIDAL INCLUSIONS; NONLINEAR COMPOSITES; DIELECTRIC-BREAKDOWN; HOMOGENIZATION;

D O I：

10.1137/110827193

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider fiber reinforced composites where both the matrix and the fibers are ideally plastic materials. We restrict our attention to microstructures and applied stresses that lead to both microscopic and macroscopic antiplane shear deformations. We describe a bound we have recently obtained on the yield set of the composite in terms of the shape of the fibers, their volume fraction, and the yield set of the matrix. We construct examples of composites showing that our bound is essentially optimal.

引用

页码：713 / 724

页数：12

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