Journal ArticleDOI
On two kinds of ellipsoidal inhomogeneities in an infinite elastic body: An application to a hybrid composite☆
Minoru Taya,Tsu-Wei Chou +1 more
TLDR
In this article, the problem of two kinds of ellipsoidal inhomogeneities embedded in an elastic body is formulated with an application to a hybrid (three-phase) composite.About:
This article is published in International Journal of Solids and Structures.The article was published on 1981-01-01. It has received 194 citations till now.read more
Citations
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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
Stiffness predictions for unidirectional short-fiber composites: Review and evaluation
Charles L. Tucker,Erwin W. Liang +1 more
TL;DR: In this paper, the stiffness of aligned short-fiber composites is evaluated by comparison with finite-element calculations which use periodic arrays of fibers, and to Ingber and Papathanasiou's boundary element results for random arrays of aligned fibers.
Journal ArticleDOI
The effect of aspect ratio of inclusions on the elastic properties of unidirectionally aligned composites
TL;DR: In this article, the influence of aspect ratio α, from zero to infinity, on the effective elastic moduli of a transversely isotropic composite was examined, where the reinforcing inclusions, which could be flakes or short fibers, are assumed to be spheroidal and unidirectionally aligned.
Journal ArticleDOI
Some elastic properties of reinforced solids, with special reference to isotropic ones containing spherical inclusions
TL;DR: In this paper, an approximate theory was established to derive the stress and strain state of constituent phases, stress concentrations at the interface, and the elastic energy and overall moduli of the composite.
Journal ArticleDOI
The theoretical connection between mori-tanaka's theory and the hashin-shtrikman-walpole bounds
TL;DR: Mori-Tanaka's theory with the general anisotropic constituents has been recast into a new form and it is shown that this form bears an identical structure to that developed by Walpole for the bounds as discussed by the authors.
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
Average stress in matrix and average elastic energy of materials with misfitting inclusions
Trevor A. Mori,K Tanaka +1 more
TL;DR: In this paper, a method of calculating the average internal stress in the matrix of a material containing inclusions with transformation strain is presented. But the authors do not consider the effects of the interaction among the inclusions and of the presence of the free boundary.
Journal ArticleDOI
A self-consistent mechanics of composite materials
TL;DR: In this article, the elastic moduli of two-phase composites are estimated by a method that takes account of the inhomogeneity of stress and strain in a way similar to the Hershey-Kroner theory of crystalline aggregates.
Journal ArticleDOI
On the elastic moduli of some heterogeneous materials
TL;DR: 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.
Related Papers (5)
Average stress in matrix and average elastic energy of materials with misfitting inclusions
Trevor A. Mori,K Tanaka +1 more