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Research Article

PLANE STRAIN DEFORMATION WITH REPEATED CHARACTERISTICS VALUES

D
Dinesh Kumar Madan Department of Mathematics, Chaudhary Bansi Lal University, Hansi Road, Bhiwani - 127021, Haryana, INDIA
A
Aanchal Gaba Department of Mathematics, Chaudhary Bansi Lal University, Hansi Road, Bhiwani - 127021, Haryana, INDIA
R
Ritu Goyal Department of Mathematics, Chaudhary Bansi Lal University, Hansi Road, Bhiwani - 127021, Haryana, INDIA
Volume 18, Issue 2 Pages 389-406 August 30, 2022 302 downloads
Article overview

Abstract

The objective of the present study is to derive the analytical expression for deformation field in an orthotropic elastic medium by using repeated characteristics values as a result of inclined line-load . For the procedure the method of equal characteristics value and Fourier transformation is used. To represent graphically, the elastic constants for two distinct elastic materials have been considered. To see the effect of inclination, the variations in displacements and stresses for different values of inclination i.e. at $\delta=0^{0}$, $30^{0}, 60^{0}, 90^{0}$ have been depicted graphically. It is found that normal and tangential loading influence the displacement and stresses significantly for distinct material.

Keywords and Phrases

Characteristics valuesInclined line-loadOrthotropic elastic mediumTangential line-loadVertical line-load.

AMS Subject Classification

74-10, 86A15.

Reference information

How to Cite

Dinesh Kumar Madan, Aanchal Gaba, Ritu Goyal (2022). PLANE STRAIN DEFORMATION WITH REPEATED CHARACTERISTICS VALUES. South East Asian Journal of Mathematics and Mathematical Sciences, 18(2), 389-406.
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