Neo-Hookean fiber-reinforced composites in finite elasticity

被引：117

作者：

deBotton, G ^{[1
]}

Hariton, I ^{[1
]}

Socolsky, EA ^{[1
]}

机构：

[1] Ben Gurion Univ Negev, Pearlstone Ctr Aeronaut Studies, Dept Mech Engn, IL-84105 Beer Sheva, Israel

来源：

JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS | 2006年 / 54卷 / 03期

关键词：

hyperelastic composites; nonlinear composites; fiber-reinforced composites; finite elasticity; effective properties; constitutive law; micromechanics;

D O I：

10.1016/j.jmps.2005.10.001

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The response of a transversely isotropic fiber-reinforced composite made out of two incompressible neo-Flookean phases undergoing finite deformations is considered. An expression for the effective energy-density function of the composite in terms of the properties of the phases and their spatial distribution is developed. For the out-of-plane shear and extension modes this expression is based on an exact solution for the class of composite cylinder assemblages. To account for the in-plane shear mode we incorporate an exact result that was recently obtained for a special class of transversely isotropic composites. In the limit of small deformation elasticity the expression for the effective behavior agrees with the well-known Hashin-Shtrikman bounds. The predictions of the proposed constitutive model are compared with corresponding numerical simulation of a composite with a hexagonal unit cell. It is demonstrated that the proposed model accurately captures the overall response of the periodic composite under any general loading modes. (c) 2005 Elsevier Ltd. All rights reserved.

引用

页码：533 / 559

页数：27

共 39 条

[21] ON THE MICRO-TO-MACRO TRANSITION IN CONSTITUTIVE ANALYSES OF ELASTOPLASTIC RESPONSE AT FINITE STRAIN [J].