Analysis of an isotropic elastic matrix with two elliptical voids or rigid inclusions under anti-plane loading

This paper presents theoretical solutions for cases of a two-dimensional isotropic elastic matrix containing two elliptical voids or rigid inclusions under anti-plane loading. These two ellipses have different long-axial radii, short-axial radii, inclining angles, and central points. Their geometrie...

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Autores principales:	Mutsumi MIYAGAWA, Takuo SUZUKI, Toru SASAKI, Takeshi TANE
Formato:	article
Lenguaje:	EN
Publicado:	The Japan Society of Mechanical Engineers 2018
Materias:	isotropic elasticity anti-plane problem two elliptical voids two elliptical rigid inclusions uniform shear stress concentrated force screw dislocation Mechanical engineering and machinery TJ1-1570
Acceso en línea:	https://doaj.org/article/e708a83a27d64e99951a972d44198ee5
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spelling	oai:doaj.org-article:e708a83a27d64e99951a972d44198ee52021-11-26T07:24:18ZAnalysis of an isotropic elastic matrix with two elliptical voids or rigid inclusions under anti-plane loading2187-974510.1299/mej.18-00333https://doaj.org/article/e708a83a27d64e99951a972d44198ee52018-12-01T00:00:00Zhttps://www.jstage.jst.go.jp/article/mej/5/6/5_18-00333/_pdf/-char/enhttps://doaj.org/toc/2187-9745This paper presents theoretical solutions for cases of a two-dimensional isotropic elastic matrix containing two elliptical voids or rigid inclusions under anti-plane loading. These two ellipses have different long-axial radii, short-axial radii, inclining angles, and central points. Their geometries are arbitrary. The matrix is assumed to be subjected to arbitrary loading by, for example, uniform shear stresses, as well as to a concentrated force and screw dislocation at an arbitrary point. The solutions are obtained through iterations of the Möbius transformation as a series with an explicit general term involving the complex potential functions of the corresponding homogeneous problem. This procedure is referred to as heterogenization. Using these solutions, several numerical examples are presented graphically.Mutsumi MIYAGAWATakuo SUZUKIToru SASAKITakeshi TANEThe Japan Society of Mechanical Engineersarticleisotropic elasticityanti-plane problemtwo elliptical voidstwo elliptical rigid inclusionsuniform shear stressconcentrated forcescrew dislocationMechanical engineering and machineryTJ1-1570ENMechanical Engineering Journal, Vol 5, Iss 6, Pp 18-00333-18-00333 (2018)
institution	DOAJ
collection	DOAJ
language	EN
topic	isotropic elasticity anti-plane problem two elliptical voids two elliptical rigid inclusions uniform shear stress concentrated force screw dislocation Mechanical engineering and machinery TJ1-1570
spellingShingle	isotropic elasticity anti-plane problem two elliptical voids two elliptical rigid inclusions uniform shear stress concentrated force screw dislocation Mechanical engineering and machinery TJ1-1570 Mutsumi MIYAGAWA Takuo SUZUKI Toru SASAKI Takeshi TANE Analysis of an isotropic elastic matrix with two elliptical voids or rigid inclusions under anti-plane loading
description	This paper presents theoretical solutions for cases of a two-dimensional isotropic elastic matrix containing two elliptical voids or rigid inclusions under anti-plane loading. These two ellipses have different long-axial radii, short-axial radii, inclining angles, and central points. Their geometries are arbitrary. The matrix is assumed to be subjected to arbitrary loading by, for example, uniform shear stresses, as well as to a concentrated force and screw dislocation at an arbitrary point. The solutions are obtained through iterations of the Möbius transformation as a series with an explicit general term involving the complex potential functions of the corresponding homogeneous problem. This procedure is referred to as heterogenization. Using these solutions, several numerical examples are presented graphically.
format	article
author	Mutsumi MIYAGAWA Takuo SUZUKI Toru SASAKI Takeshi TANE
author_facet	Mutsumi MIYAGAWA Takuo SUZUKI Toru SASAKI Takeshi TANE
author_sort	Mutsumi MIYAGAWA
title	Analysis of an isotropic elastic matrix with two elliptical voids or rigid inclusions under anti-plane loading
title_short	Analysis of an isotropic elastic matrix with two elliptical voids or rigid inclusions under anti-plane loading
title_full	Analysis of an isotropic elastic matrix with two elliptical voids or rigid inclusions under anti-plane loading
title_fullStr	Analysis of an isotropic elastic matrix with two elliptical voids or rigid inclusions under anti-plane loading
title_full_unstemmed	Analysis of an isotropic elastic matrix with two elliptical voids or rigid inclusions under anti-plane loading
title_sort	analysis of an isotropic elastic matrix with two elliptical voids or rigid inclusions under anti-plane loading
publisher	The Japan Society of Mechanical Engineers
publishDate	2018
url	https://doaj.org/article/e708a83a27d64e99951a972d44198ee5
work_keys_str_mv	AT mutsumimiyagawa analysisofanisotropicelasticmatrixwithtwoellipticalvoidsorrigidinclusionsunderantiplaneloading AT takuosuzuki analysisofanisotropicelasticmatrixwithtwoellipticalvoidsorrigidinclusionsunderantiplaneloading AT torusasaki analysisofanisotropicelasticmatrixwithtwoellipticalvoidsorrigidinclusionsunderantiplaneloading AT takeshitane analysisofanisotropicelasticmatrixwithtwoellipticalvoidsorrigidinclusionsunderantiplaneloading
_version_	1718409691246100480

Analysis of an isotropic elastic matrix with two elliptical voids or rigid inclusions under anti-plane loading

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