Journal ArticleDOI
On the problem of linear elasticity for an infinite region containing a finite number of non-intersecting spherical inhomogeneities
Gregory J. Rodin,Yuh-Long Hwang +1 more
TLDR
In this paper, the problem of linear elasticity for an infinite number of non-intersecting spherical and ellipsoidal inhomogeneities is attacked, where the Eshelby equivalent inclusion method is used.About:
This article is published in International Journal of Solids and Structures.The article was published on 1991-01-01. It has received 74 citations till now. The article focuses on the topics: Linear elasticity & Elasticity (economics).read more
Citations
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Micromechanics and effective moduli of elastic composites containing randomly dispersed ellipsoidal inhomogeneities
J. W. Ju,T. M. Chen +1 more
TL;DR: In this paper, a micromechanical framework is proposed to investigate effective mechanical properties of elastic multiphase composites containing many randomly dispersed ellipsoidal inhomogeneities.
Journal ArticleDOI
Effective elastic moduli of two-phase composites containing randomly dispersed spherical inhomogeneities
J. W. Ju,T. M. Chen +1 more
TL;DR: In this article, a probabilistic pairwise particle interaction formulation coupled with the general ensemble-volume averaged field equations is proposed for the prediction of effective elastic moduli of two-phase composites containing randomly dispersed spherical inhomogeneities.
Journal ArticleDOI
Equivalent inhomogeneity method for evaluating the effective elastic properties of unidirectional multi-phase composites with surface/interface effects
TL;DR: In this article, a semi-analytical solution of a problem of an infinite plane containing a cluster of nonoverlapping circular inhomogeneities subjected to loading at infinity is presented.
Journal ArticleDOI
Three dimensional Voronoi cell finite element model for microstructures with ellipsoidal heterogeneties
Somnath Ghosh,S. Moorthy +1 more
TL;DR: In this article, a 3D Voronoi cell finite element model is developed for analyzing heterogeneous materials containing a dispersion of ellipsoidal inclusions or voids in the matrix.
Journal ArticleDOI
Multiple void-crack interaction
TL;DR: In this article, a method for fracture analysis of a general two-dimensional system containing multiple holes, or voids, and cracks is presented, based on two types of fundamental solutions: point loads in a solid with a hole and the other due to point dislocations in an infinite elastic body.
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.
Book
Micromechanics of defects in solids
Toshio Mura,D. M. Barnett +1 more
TL;DR: In this paper, the authors present numerical simulation of intergranular and transgranular crack propagation in ferroelectric polycrystals using double kink mechanisms for discrete dislocations in BCCs.
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
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.