Maxwell's far-field methodology applied to the prediction of properties of multi-phase isotropic particulate composites

DOI10.1098/rspa.2007.0071zbMath1259.74007OpenAlexW2096344828MaRDI QIDQ3510927

Anthony Kelly, L. N. McCartney

Publication date: 3 July 2008

Published in: Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1098/rspa.2007.0071

zbMATH Keywords

bulk modulusshear modulusthermal conductivitythermal expansion

Mathematics Subject Classification ID

Related Items (14)

Generalization of Maxwell homogenization scheme for elastic material containing inhomogeneities of diverse shape ⋮ Effective elastic properties of a particulate composite with transversely-isotropic matrix ⋮ Evaluation of the effective elastic and conductive properties of a material containing concave pores ⋮ A refined Maxwell's scheme for calculating effective properties of composite layers ⋮ Convergence of FFT‐based homogenization for strongly heterogeneous media ⋮ Combining Maxwell's methodology with the BEM for evaluating the two-dimensional effective properties of composite and micro-cracked materials ⋮ New boundary conditions for the computation of the apparent stiffness of statistical volume elements ⋮ On reflected interactions in elastic solids containing inhomogeneities ⋮ A computational technique for evaluating the effective thermal conductivity of isotropic porous materials ⋮ On Maxwell's concept of equivalent inhomogeneity: when do the interactions matter? ⋮ Equivalent inhomogeneity method for evaluating the effective elastic properties of unidirectional multi-phase composites with surface/interface effects ⋮ Maxwell's methodology of estimating effective properties: alive and well ⋮ Maxwell homogenization scheme for piezoelectric composites with arbitrarily-oriented spheroidal inhomogeneities ⋮ Revisiting the generalized self-consistent scheme in composites: clarification of some aspects and a new formulation

Cites Work

• Some elastic properties of reinforced solids, with special reference to isotropic ones containing spherical inclusions
• A variational approach to the theory of the elastic behaviour of multiphase materials
• Solutions for effective shear properties in three phase sphere and cylinder models
• Effective elastic properties of periodic composite medium.
• On bounds for the overall elastic moduli of inhomogeneous systems. I
• The theoretical connection between Mori-Tanaka's theory and the Hashin- Shtrikman-Walpole bounds
• The Elastic Moduli of Heterogeneous Materials
• Analysis of Composite Materials—A Survey
• A method for determining the effective conductivity of dispersions of particles
• A Variational Approach to the Theory of the Effective Magnetic Permeability of Multiphase Materials

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