Nonlinear elasticity of composite materials Landau coefficients in dispersions of spherical and cylindrical inclusions

被引：25

作者：

Giordano, S. ^{[1
,2
]}

Palla, P. L. ^{[1
,2
]}

Colombo, L. ^{[1
,2
]}

机构：

[1] Sardinian Lab Computat Mat Sci, SLACS, INFM, CNR, Sardinia, Italy

[2] Univ Cagliari, Dept Phys, I-09042 Monserrato, Ca, Italy

来源：

EUROPEAN PHYSICAL JOURNAL B | 2009年 / 68卷 / 01期

关键词：

FIBRE-STRENGTHENED MATERIALS; EFFECTIVE STIFFNESS TENSOR; MECHANICAL-PROPERTIES; DIFFERENTIAL SCHEME; EFFECTIVE ENERGY; MODULI; MEDIA; FIELD;

D O I：

10.1140/epjb/e2009-00063-1

中图分类号：

O469 [凝聚态物理学];

学科分类号：

070205 ;

摘要：

We investigate the elastic properties of model composites, consisting in a dispersion of nonlinear (spherical or cylindrical) inhomogeneities into a linear solid matrix. Both phases are considered isotropic. Under the simplifying hypotheses of small deformation for the material body and of small volume fraction of the embedded phase, we develop a homogenization procedure based on the Eshelby theory, aimed at describing nonlinear features. We obtain the bulk and shear moduli and Landau coefficients of the overall material in terms of the elastic behavior of the constituents and of their volume fractions. The mixing laws for the nonlinear properties describe a complex scenario where possible strong amplifications of the nonlinearities may arise in some given conditions.

引用

页码：89 / 101

页数：13

共 42 条

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