A variational method for non-linear micropolar composites

被引：34

作者：

Hu, GK

Liu, XN

Lu, TJ ^{[1
]}

机构：

[1] Beijing Inst Technol, Dept Appl Mech, Beijing 100081, Peoples R China

[2] Univ Cambridge, Dept Engn, Cambridge CB2 1PZ, England

来源：

MECHANICS OF MATERIALS | 2005年 / 37卷 / 04期

基金：

中国国家自然科学基金;

关键词：

variational method; particulate composite; micromechanics; non-linearity; couple stress;

D O I：

10.1016/j.mechmat.2004.03.006

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Built upon Ponte Casta (n) over tilde eda's method for a Cauchy medium, a variational method for evaluating the effective nonlinear behavior of micropolar composites is proposed. The same as for a Cauchy medium, it is shown that the proposed variational method can be interpreted as the secant moduli method based on second-order stress and couple stress moments. With simple examples, the interplay between material length parameters of a higher-order medium and its geometrical dimensions and/or material constants is highlighted. By using the new variational method, the influence of reinforcement size on the yielding and strain hardening of particulate composites is examined in a simple and analytical manner. The predictions agree well with existing experimental data for selected particulate metal matrix composite systems. The particle size effect is found to be more pronounced for shear loading and hard particles. (C) 2004 Elsevier Ltd. All rights reserved.

引用

页码：407 / 425

页数：19

共 59 条

[1] Plastic flow in a composite: a comparison of nonlocal continuum and discrete dislocation predictions [J].