The effective medium and the average field approximations vis-à-vis the Hashin-Shtrikman bounds. II: The generalized self-consistent scheme in matrix-based composites

DOI10.1016/j.jmps.2010.04.013zbMath1244.74010OpenAlexW2038709015MaRDI QIDQ443620

Yakov Benveniste, Graeme Walter Milton

Publication date: 13 August 2012

Published in: Journal of the Mechanics and Physics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmps.2010.04.013

zbMATH Keywords

heterogeneous materialparticulate reinforced materialself-consistent schemes

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Micromechanics of solids (74M25) Composite and mixture properties (74E30) Random materials and composite materials (74A40)

Related Items (4)

Three-phase model for a composite material with cylindrical circular inclusions. I: Application of the boundary shape perturbation method ⋮ Models of thin interphases and the effective medium approximation in composite media with curvilinearly anisotropic coated inclusions ⋮ A note on traction continuity across an interface in a geometrically non-linear framework ⋮ Variational formulation of generalized interfaces for finite deformation elasticity

Cites Work

• Unnamed Item
• Revisiting the generalized self-consistent scheme in composites: clarification of some aspects and a new formulation
• Solutions for effective shear properties in three phase sphere and cylinder models
• Iterated homogenization, differential effective medium theory and applications
• A Variational Approach to the Theory of the Effective Magnetic Permeability of Multiphase Materials
• Long-wavelength propagation in composite elastic media II. Ellipsoidal inclusions
• The Elastic Constants of a Solid containing Spherical Holes

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