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On the Boundary Value Kirsch's Problem

Published online by Cambridge University Press:  11 December 2015

D. Rezini ,
A. Khaldi  and
Y. Rahmani
D. Rezini*
Affiliation:
Université des Sciences et de la Technologie Mohamed Boudiaf Oran, Algérie
A. Khaldi
Affiliation:
Université des Sciences et de la Technologie Mohamed Boudiaf Oran, Algérie
Y. Rahmani
Affiliation:
Université des Sciences et de la Technologie Mohamed Boudiaf Oran, Algérie
*
*Corresponding author (redjellou@yahoo.fr)
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Abstract

Analytical closed-form solution to the stress distribution associated with a hole in finite plates subjected to tension has not been obtained yet. Wherefore, a method developed in this paper is based on a Beltrami-Michell methodology analyzing the Kirsch's problem under finite dimensions conditions of both plane stress and plane strain. This aimed ability is achieved by combining the Beltrami-Michell plane equations, isochromatic information on the boundaries only; and the finite difference method into an effectual hybrid method for analyzing rectangular plates of finite width with circular holes. Furthermore, the Beltrami-Michell methodology suggested may be applied on other plate and cut-out forms.

Keywords

Kirsch's problemDirichletPhotoelasticityHybrid method.
Type
Research Article
Information
Journal of Mechanics , Volume 32 , Issue 1 , February 2016 , pp. 1 - 10
Copyright
Copyright © The Society of Theoretical and Applied Mechanics, R.O.C. 2016 

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