The Eshelby Tensors in a Finite Spherical Domain—Part II: Applications to HomogenizationSource: Journal of Applied Mechanics:;2007:;volume( 074 ):;issue: 004::page 784DOI: 10.1115/1.2711228Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: In this part of the work, the Eshelby tensors of a finite spherical domain are applied to various homogenization procedures estimating the effective material properties of multiphase composites. The Eshelby tensors of a finite domain can capture the boundary effect of a representative volume element as well as the size effect of the different phases. Therefore their application to homogenization does not only improve the accuracy of classical homogenization methods, but also leads to some novel homogenization theories. This paper highlights a few of them: a refined dilute suspension method and a modified Mori–Tanaka method, the exterior eigenstrain method, the dual-eigenstrain method, which is a generalized self-consistency method, a shell model, and new variational bounds depending on the different boundary conditions. To the best of the authors’ knowledge, this is the first time that a multishell model is used to evaluate the Hashin–Shtrikman bounds for a multiple phase composite (n⩾3), which can distinguish some of the subtleties of different microstructures.
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contributor author | Shaofan Li | |
contributor author | Gang Wang | |
contributor author | Roger A. Sauer | |
date accessioned | 2017-05-09T00:22:28Z | |
date available | 2017-05-09T00:22:28Z | |
date copyright | July, 2007 | |
date issued | 2007 | |
identifier issn | 0021-8936 | |
identifier other | JAMCAV-26645#784_1.pdf | |
identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/135100 | |
description abstract | In this part of the work, the Eshelby tensors of a finite spherical domain are applied to various homogenization procedures estimating the effective material properties of multiphase composites. The Eshelby tensors of a finite domain can capture the boundary effect of a representative volume element as well as the size effect of the different phases. Therefore their application to homogenization does not only improve the accuracy of classical homogenization methods, but also leads to some novel homogenization theories. This paper highlights a few of them: a refined dilute suspension method and a modified Mori–Tanaka method, the exterior eigenstrain method, the dual-eigenstrain method, which is a generalized self-consistency method, a shell model, and new variational bounds depending on the different boundary conditions. To the best of the authors’ knowledge, this is the first time that a multishell model is used to evaluate the Hashin–Shtrikman bounds for a multiple phase composite (n⩾3), which can distinguish some of the subtleties of different microstructures. | |
publisher | The American Society of Mechanical Engineers (ASME) | |
title | The Eshelby Tensors in a Finite Spherical Domain—Part II: Applications to Homogenization | |
type | Journal Paper | |
journal volume | 74 | |
journal issue | 4 | |
journal title | Journal of Applied Mechanics | |
identifier doi | 10.1115/1.2711228 | |
journal fristpage | 784 | |
journal lastpage | 797 | |
identifier eissn | 1528-9036 | |
tree | Journal of Applied Mechanics:;2007:;volume( 074 ):;issue: 004 | |
contenttype | Fulltext |