Orthotropic elastic medium under the effect of initial and couple stresses

M. M. Selim

doi:10.1016/j.amc.2006.01.023

Orthotropic elastic medium under the effect of initial and couple stresses

M. M. Selim

Suez Canal University

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

Abstract

The eigenvalue approach has been employed to find the analytical expressions for displacements and stresses at any point of an infinite initially stressed orthotropic elastic medium with the effect of couple stress. A plain strain problem has been studied. New closed forms of displacement and stress components have been obtained. The variations of the displacements and stresses with horizontal distance have been shown graphically.

Original language	English
Pages (from-to)	185-192
Number of pages	8
Journal	Applied Mathematics and Computation
Volume	181
Issue number	1
DOIs	https://doi.org/10.1016/j.amc.2006.01.023
State	Published - 1 Oct 2006
Externally published	Yes

Keywords

Couple stress
Eigenvalue
Initial stress
Orthotropic
Plane strain

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10.1016/j.amc.2006.01.023

Cite this

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title = "Orthotropic elastic medium under the effect of initial and couple stresses",

abstract = "The eigenvalue approach has been employed to find the analytical expressions for displacements and stresses at any point of an infinite initially stressed orthotropic elastic medium with the effect of couple stress. A plain strain problem has been studied. New closed forms of displacement and stress components have been obtained. The variations of the displacements and stresses with horizontal distance have been shown graphically.",

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T1 - Orthotropic elastic medium under the effect of initial and couple stresses

AU - Selim, M. M.

PY - 2006/10/1

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N2 - The eigenvalue approach has been employed to find the analytical expressions for displacements and stresses at any point of an infinite initially stressed orthotropic elastic medium with the effect of couple stress. A plain strain problem has been studied. New closed forms of displacement and stress components have been obtained. The variations of the displacements and stresses with horizontal distance have been shown graphically.

AB - The eigenvalue approach has been employed to find the analytical expressions for displacements and stresses at any point of an infinite initially stressed orthotropic elastic medium with the effect of couple stress. A plain strain problem has been studied. New closed forms of displacement and stress components have been obtained. The variations of the displacements and stresses with horizontal distance have been shown graphically.

KW - Couple stress

KW - Eigenvalue

KW - Initial stress

KW - Orthotropic

KW - Plane strain

UR - https://www.scopus.com/pages/publications/33749538243

U2 - 10.1016/j.amc.2006.01.023

DO - 10.1016/j.amc.2006.01.023

M3 - Article

AN - SCOPUS:33749538243

SN - 0096-3003

VL - 181

SP - 185

EP - 192

JO - Applied Mathematics and Computation

JF - Applied Mathematics and Computation

IS - 1

ER -

Orthotropic elastic medium under the effect of initial and couple stresses

Abstract

Keywords

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