Large isotropic elastic deformation of composites and porous media

DOI10.1016/0020-7683(85)90074-5zbMath0575.73051OpenAlexW2019062683MaRDI QIDQ1064130

Zvi Hashin

Publication date: 1985

Published in: International Journal of Solids and Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0020-7683(85)90074-5

zbMATH Keywords

porous mediacomposite materialsvoidsspherical inclusionscomposite spheres assemblage modelfinitely-deforming elastic matrixfundamentally differentincompressible Mooney-Rivlin matrixlarge isotropic deformationnot on contractionstress- strain relations for expansion and contractionvery small amount of pores has significant effect on expansion

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Inhomogeneity in solid mechanics (74E05) Random materials and composite materials (74A40)

Related Items

On Hashin's hollow cylinder and sphere assemblages in anisotropic nonlinear elasticity ⋮ Micromechanical Modeling of the Finite Deformation of Thermoelastic Multiphase Composites ⋮ Determination of the overall moduli in second order incompressible elasticity ⋮ Cavitation in elastomeric solids. I: A defect-growth theory ⋮ Effective behavior of porous elastomers containing aligned spheroidal voids ⋮ The reduced model multiscale method (R3M) for the nonlinear homogenization of hyperelastic media at finite strains ⋮ Neutrality of a coated anisotropic spherical inhomogeneity under a uniform hydrostatic stress field ⋮ Geometric multipole expansion and its application to semi-neutral inclusions of general shape ⋮ On the extremal properties of Hashin's hollow cylinder assemblage in nonlinear elasticity ⋮ M-integral for finite anti-plane shear of a nonlinear elastic matrix with rigid inclusions ⋮ Soft elastic composites: microstructure evolution, instabilities and relaxed response by domain formation ⋮ The nonlinear viscoelastic response of suspensions of vacuous bubbles in rubber. I: Gaussian rubber with constant viscosity ⋮ An analytical stress-stretch relation for porous elastomeric materials with large deformation ⋮ Inclusions of General Shapes Having Constant Field Inside the Core and NonElliptical Neutral Coated Inclusions With Anisotropic Conductivity ⋮ Exact results for the homogenization of elastic fiber-reinforced solids at finite strain ⋮ A new variational estimate for the effective response of hyperelastic composites ⋮ Nonlinear elastic properties of particulate composites ⋮ Strain energy-based homogenization of nonlinear elastic particulate composites ⋮ A theory of hyperelasticity of multi-phase media with surface/interface energy effect ⋮ Second-order estimates for the macroscopic response and loss of ellipticity in porous rubbers at large deformations ⋮ Homogenization and global responses of inhomogeneous spherical nonlinear elastic shells ⋮ Finite deformation of incompressible fiber-reinforced elastomers: a computational micromechanics approach ⋮ Fiber-reinforced hyperelastic solids: a realizable homogenization constitutive theory ⋮ Elastodynamic transformation cloaking for non-centrosymmetric gradient solids ⋮ On constitutive modelling of porous neo-Hookean composites ⋮ An exact result for the macroscopic response of porous neo-Hookean solids ⋮ Homogenization-based constitutive models for porous elastomers and implications for macroscopic instabilities. I: Analysis ⋮ Homogenization-based constitutive models for porous elastomers and implications for macroscopic instabilities. II: Results ⋮ Nonlinear and linear elastodynamic transformation cloaking ⋮ Analytical and numerical analyses of neo-Hookean thin-wall composite spheres ⋮ Neutral coated inhomogeneities of various shapes in nonlinear thermoelectricity