The Plane Solution for Anisotropic Elastic Wedges Under Normal and Shear LoadingSource: Journal of Applied Mechanics:;1972:;volume( 039 ):;issue: 004::page 1103Author:D. B. Bogy
DOI: 10.1115/1.3422837Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The plane traction problem for an anisotropic wedge is solved within the theory of linear elastostatics. The technique employs the complex function representation of the plane solution in conjunction with the Mellin transform. Special attention is given to the orthotropic wedge; the uniform load solution is given in terms of elementary functions for wedge angles less than π, the logarithmic singularities in the stress field resulting from discontinuous loads on the half plane are studied, and the stress singularity at the apex is investigated for the reentrant wedges. Simplified results for the anisotropic half plane and cracked full plane are also presented.
keyword(s): Shear (Mechanics) , Wedges , Stress , Stress singularity , Functions AND Traction ,
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contributor author | D. B. Bogy | |
date accessioned | 2017-05-09T01:14:25Z | |
date available | 2017-05-09T01:14:25Z | |
date copyright | December, 1972 | |
date issued | 1972 | |
identifier issn | 0021-8936 | |
identifier other | JAMCAV-25969#1103_1.pdf | |
identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/156867 | |
description abstract | The plane traction problem for an anisotropic wedge is solved within the theory of linear elastostatics. The technique employs the complex function representation of the plane solution in conjunction with the Mellin transform. Special attention is given to the orthotropic wedge; the uniform load solution is given in terms of elementary functions for wedge angles less than π, the logarithmic singularities in the stress field resulting from discontinuous loads on the half plane are studied, and the stress singularity at the apex is investigated for the reentrant wedges. Simplified results for the anisotropic half plane and cracked full plane are also presented. | |
publisher | The American Society of Mechanical Engineers (ASME) | |
title | The Plane Solution for Anisotropic Elastic Wedges Under Normal and Shear Loading | |
type | Journal Paper | |
journal volume | 39 | |
journal issue | 4 | |
journal title | Journal of Applied Mechanics | |
identifier doi | 10.1115/1.3422837 | |
journal fristpage | 1103 | |
journal lastpage | 1109 | |
identifier eissn | 1528-9036 | |
keywords | Shear (Mechanics) | |
keywords | Wedges | |
keywords | Stress | |
keywords | Stress singularity | |
keywords | Functions AND Traction | |
tree | Journal of Applied Mechanics:;1972:;volume( 039 ):;issue: 004 | |
contenttype | Fulltext |