Nonlinear elasticity of composite materials : Landau coefficients in dispersions of spherical and cylindrical inclusions
作者： S. Giordano , P. L. Palla , L. Colombo
DOI: 10.1140/EPJB/E2009-00063-1
关键词: Homogenization (chemistry) 、 Nonlinear system 、 Moduli 、 Materials science 、 Solid-state physics 、 Shear modulus 、 Isotropy 、 Bulk modulus 、 Composite material 、 Constitutive equation
摘要: We investigate the elastic properties of model composites, consisting in a dispersion nonlinear (spherical or cylindrical) inhomogeneities into linear solid matrix. Both phases are considered isotropic. Under simplifying hypotheses small deformation for material body and volume fraction embedded phase, we develop homogenization procedure based on Eshelby theory, aimed at describing features. obtain bulk shear moduli Landau coefficients overall terms behavior constituents their fractions. The mixing laws describe complex scenario where possible strong amplifications nonlinearities may arise some given conditions.
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