New bounds on local strain fields inside random heterogeneous materials

被引：2

作者：

Alali, Bacim ^{[1
]}

Lipton, Robert ^{[2
]}

机构：

[1] Univ Utah, Dept Math, Salt Lake City, UT 84112 USA

[2] Louisiana State Univ, Dept Math, Baton Rouge, LA 70803 USA

来源：

MECHANICS OF MATERIALS | 2012年 / 53卷

基金：

美国国家科学基金会;

关键词：

Random heterogeneous materials; Strain failure criteria; Strength domains; STRESS; CONJECTURE; COMPOSITE;

D O I：

10.1016/j.mechmat.2012.05.007

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A methodology is presented for bounding the higher L-p norms, 2 <= p <= infinity of the local strain inside random media. We present optimal lower bounds that are given in terms of the applied loading and volume fractions for random two phase composites. These bounds provide a means to measure load transfer across length scales relating the excursions of the local fields to applied loads. These results deliver tight upper bounds on the macroscopic strength domains for statistically defined heterogeneous media. (C) 2012 Elsevier Ltd. All rights reserved.

引用

页码：111 / 122

页数：12

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