Journal ArticleDOI
On the elastic moduli of some heterogeneous materials
TLDR
In this paper, a heuristic analysis is given for the determination of the elastic moduli of a composite material, the several constituents of which are each isotropic and elastic, and the results are intended to apply to heterogeneous materials composed of contiguous, more-or-less spherical grains of each of the phases.Abstract:
A heuristic analysis is given for the determination of the elastic moduli of a composite material, the several constituents of which are each isotropic and elastic. The results are intended to apply to heterogeneous materials composed of contiguous, more-or-less spherical grains of each of the phases.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.
Journal ArticleDOI
Analysis of Composite Materials—A Survey
TL;DR: In this paper, the authors review the analysis of composite materials from the applied mechanics and engineering science point of view, including elasticity, thermal expansion, moisture swelling, viscoelasticity, conductivity, static strength, and fatigue failure.
Book
The Rock Physics Handbook: Tools for Seismic Analysis of Porous Media
TL;DR: In this article, the authors present basic tools for elasticity and Hooke's law, effective media, granular media, flow and diffusion, and fluid effects on wave propagation for wave propagation.
Journal ArticleDOI
Solutions for effective shear properties in three phase sphere and cylinder models
Richard M. Christensen,K.H. Lo +1 more
TL;DR: In this paper, the effective shear modulus of two types of composite material models are compared. And the results are found to differ from those of the well-known Kerner and Hermans formulae for the same models.
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.
References
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Journal ArticleDOI
The Determination of the Elastic Field of an Ellipsoidal Inclusion, and Related Problems
TL;DR: In this paper, it is shown that to answer several questions of physical or engineering interest, it is necessary to know only the relatively simple elastic field inside the ellipsoid.
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
Elastic properties of reinforced solids: some theoretical principles
TL;DR: In this paper, an elementary account of several theoretical methods of attack is given, among them the derivation of inequalities between various moduli, and the approach is completely general and exact.
Journal ArticleDOI
Berechnung der elastischen Konstanten des Vielkristalls aus den Konstanten des Einkristalls
TL;DR: In this article, anwendungsmoglichkeiten der Methode werden besprochen, in which experimentelle Vergleichswerte weichen von den berechneten etwas ab, was beweist, das die Experimente nicht den von der Theorie geforderten idealen Bedingungen genugt haben.
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Average stress in matrix and average elastic energy of materials with misfitting inclusions
Trevor A. Mori,K Tanaka +1 more