Semi-Analytic Solution of Multiple Inhomogeneous Inclusions and Cracks in an Infinite Space

This work develops a semi-analytic solution for multiple inhomogeneous inclusions of arbitrary shape and cracks in an isotropic infinite space. The solution is capable of fully taking into account the interactions among any number of inhomogeneous inclusions and cracks which no reported analytic or...

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Main Authors: Zhou, Kun, Wei, Rongbing, Bi, Guijun, Wang, Xu, Song, Bin, Feng, Xiqiao
Other Authors: School of Mechanical and Aerospace Engineering
Format: Article
Language:English
Published: 2016
Subjects:
Online Access:https://hdl.handle.net/10356/85032
http://hdl.handle.net/10220/40944
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Institution: Nanyang Technological University
Language: English
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spelling sg-ntu-dr.10356-850322020-03-07T13:19:21Z Semi-Analytic Solution of Multiple Inhomogeneous Inclusions and Cracks in an Infinite Space Zhou, Kun Wei, Rongbing Bi, Guijun Wang, Xu Song, Bin Feng, Xiqiao School of Mechanical and Aerospace Engineering A*STAR SIMTech Crack Inhomogeneous inclusion This work develops a semi-analytic solution for multiple inhomogeneous inclusions of arbitrary shape and cracks in an isotropic infinite space. The solution is capable of fully taking into account the interactions among any number of inhomogeneous inclusions and cracks which no reported analytic or semi-analytic solution can handle. In the solution development, a novel method combining the equivalent inclusion method (EIM) and the distributed dislocation technique (DDT) is proposed. Each inhomogeneous inclusion is modeled as a homogenous inclusion with initial eigenstrain plus unknown equivalent eigenstrain using the EIM, and each crack of mixed modes I and II is modeled as a distribution of edge climb and glide dislocations with unknown densities. All the unknown equivalent eigenstrains and dislocation densities are solved simultaneously by means of iteration using the conjugate gradient method (CGM). The fast Fourier transform algorithm is also employed to greatly improve computational efficiency. The solution is verified by the finite element method (FEM) and its capability and generality are demonstrated through the study of a few sample cases. This work has potential applications in reliability analysis of heterogeneous materials. ASTAR (Agency for Sci., Tech. and Research, S’pore) 2016-07-15T06:25:17Z 2019-12-06T15:55:56Z 2016-07-15T06:25:17Z 2019-12-06T15:55:56Z 2014 Journal Article Zhou, K., Wei, R., Bi, G., Wang, X., Song, B., & Feng, X. (2015). Semi-Analytic Solution of Multiple Inhomogeneous Inclusions and Cracks in an Infinite Space. International Journal of Computational Methods, 12(1), 1550002-. 0219-8762 https://hdl.handle.net/10356/85032 http://hdl.handle.net/10220/40944 10.1142/S0219876215500024 en International Journal of Computational Methods © 2014 World Scientific Publishing Company.
institution Nanyang Technological University
building NTU Library
country Singapore
collection DR-NTU
language English
topic Crack
Inhomogeneous inclusion
spellingShingle Crack
Inhomogeneous inclusion
Zhou, Kun
Wei, Rongbing
Bi, Guijun
Wang, Xu
Song, Bin
Feng, Xiqiao
Semi-Analytic Solution of Multiple Inhomogeneous Inclusions and Cracks in an Infinite Space
description This work develops a semi-analytic solution for multiple inhomogeneous inclusions of arbitrary shape and cracks in an isotropic infinite space. The solution is capable of fully taking into account the interactions among any number of inhomogeneous inclusions and cracks which no reported analytic or semi-analytic solution can handle. In the solution development, a novel method combining the equivalent inclusion method (EIM) and the distributed dislocation technique (DDT) is proposed. Each inhomogeneous inclusion is modeled as a homogenous inclusion with initial eigenstrain plus unknown equivalent eigenstrain using the EIM, and each crack of mixed modes I and II is modeled as a distribution of edge climb and glide dislocations with unknown densities. All the unknown equivalent eigenstrains and dislocation densities are solved simultaneously by means of iteration using the conjugate gradient method (CGM). The fast Fourier transform algorithm is also employed to greatly improve computational efficiency. The solution is verified by the finite element method (FEM) and its capability and generality are demonstrated through the study of a few sample cases. This work has potential applications in reliability analysis of heterogeneous materials.
author2 School of Mechanical and Aerospace Engineering
author_facet School of Mechanical and Aerospace Engineering
Zhou, Kun
Wei, Rongbing
Bi, Guijun
Wang, Xu
Song, Bin
Feng, Xiqiao
format Article
author Zhou, Kun
Wei, Rongbing
Bi, Guijun
Wang, Xu
Song, Bin
Feng, Xiqiao
author_sort Zhou, Kun
title Semi-Analytic Solution of Multiple Inhomogeneous Inclusions and Cracks in an Infinite Space
title_short Semi-Analytic Solution of Multiple Inhomogeneous Inclusions and Cracks in an Infinite Space
title_full Semi-Analytic Solution of Multiple Inhomogeneous Inclusions and Cracks in an Infinite Space
title_fullStr Semi-Analytic Solution of Multiple Inhomogeneous Inclusions and Cracks in an Infinite Space
title_full_unstemmed Semi-Analytic Solution of Multiple Inhomogeneous Inclusions and Cracks in an Infinite Space
title_sort semi-analytic solution of multiple inhomogeneous inclusions and cracks in an infinite space
publishDate 2016
url https://hdl.handle.net/10356/85032
http://hdl.handle.net/10220/40944
_version_ 1681043341326680064