Journal ArticleDOI
Bounds and self-consistent estimates for the overall properties of anisotropic composites
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In this article, the thermal conductivity of a body containing aligned spheroidal inclusions is discussed as an example including, as limiting cases, bodies containing highlyconducting aligned needles and bodies containing aligned pennyshaped cracks.Abstract:
B ounds of Hashin-Shtrikman type and self-consistent estimates for the overall properties of composites, which may be anisotropic, are developed. Bodies containing aligned ellipsoidal inclusions are considered particularly, generalizing previously known results. The overall thermal conductivity of a body containing aligned spheroidal inclusions is discussed as an example including, as limiting cases, bodies containing highly-conducting aligned needles and bodies containing aligned pennyshaped cracks.read more
Citations
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Journal ArticleDOI
A new approach to the application of Mori-Tanaka's theory in composite materials
TL;DR: In this paper, a reconsideration and reformulation of the Mori-Tanaka's theory in its application to the computation of the effective properties of composites is presented, which is a straightforward exposition and interpretation of the method which are different than those existing in previous formulations.
Book
The Rock Physics Handbook: Tools for Seismic Analysis of Porous Media
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MonographDOI
The Rock Physics Handbook
TL;DR: The third edition of the reference book as discussed by the authors has been thoroughly updated while retaining its comprehensive coverage of the fundamental theory, concepts, and laboratory results, and highlights applications in unconventional reservoirs, including water, hydrocarbons, gases, minerals, rocks, ice, magma and methane hydrates.
Journal ArticleDOI
Effective Thermal Conductivity of Composites with Interfacial Thermal Barrier Resistance
TL;DR: In this article, a modification of the original theories of Rayleigh and Maxwell permitted the deriva tion of expressions for the effective thermal conductivity of composites consisting of a continuous matrix phase with dilute concentrations of dispersions with spherical, cylin drical and flat plate geometry with a thermal barrier resistance at the interface between the components.
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Preprocessing and postprocessing for materials based on the homogenization method with adaptive finite element methods
José M. Guedes,Noboru Kikuchi +1 more
TL;DR: In this paper, the effective average elastic constants of linear elasticity of general composite materials by considering their microstructure were determined using the homogenization method, and a finite element approximation was introduced with convergence study and corresponding error estimate.
References
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Journal ArticleDOI
A variational approach to the theory of the elastic behaviour of multiphase materials
Zvi Hashin,S. Shtrikman +1 more
TL;DR: In this paper, the authors derived upper and lower bounds for the effective elastic moduli of quasi-isotropic and quasi-homogeneous multiphase materials of arbitrary phase geometry.
Journal ArticleDOI
A Variational Approach to the Theory of the Effective Magnetic Permeability of Multiphase Materials
Z. Hashin,S. Shtrikman +1 more
TL;DR: In this article, the authors established and applied variational theorems for the derivation of bounds for the effective magnetic permeability of macroscopically homogeneous and isotropic multiphase materials.
Journal ArticleDOI
Elastic moduli of a cracked solid
TL;DR: In this paper, a self-consistent method for the elastic moduli of bodies containing randomly distributed flat cracks, with or without fluid in their interiors, is proposed and general concepts are outlined for arbitrary cracks and explicit derivations together with numerical results are given.
Journal ArticleDOI
On some variational principles in anisotropic and nonhomogeneous elasticity
Zvi Hashin,S. Shtrikman +1 more
TL;DR: In this article, the authors extended these variational principles to anisotropic and nonhomogeneous elasticity for polycrystals, and applied them to the theory of the elastic behavior of polycrystal polymers.
Journal ArticleDOI
A variational approach to the theory of the elastic behaviour of polycrystals
Zvi Hashin,S. Shtrikman +1 more
TL;DR: In this article, the authors derived lower and upper bounds for the elastic moduli of polycrystals in terms of the modulus of the constituting crystals, and showed that the present bounds are a considerable improvement of the well-known Voigt and Reuss bounds.
Related Papers (5)
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