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Bulletin of Pure and Applied Sciences- Math& Stat. (Started in 1982)
eISSN: 2320-3226
pISSN: 0970-6577
Impact Factor: 4.895 (2017)
DOI: 10.5958/2320-3226
Editor-in-Chief:  Prof. Dr. Lalit Mohan Upadhyaya
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Article Details

Bulletin of Pure and Applied Sciences- Math& Stat. (Started in 1982)
Year : 2019, Volume & Issue : BPAS-Maths & Stat 38E(1), JAN-JUN 2019
Page No. : 31-40, Article Type : Original Aticle
Article DOI : 10.5958/2320-3226.2019.00004.3 (Received on 07.11.2018, Revised on 29.01.2019, Accepted on 05.02.2019)

DEFORMATION DUE TO A TORQUE SOURCE IN LAYERED ORTHOTROPIC ELASTIC MEDIUM IN WELDED CONTACT WITH ANOTHER ORTHOTROPIC ELASTIC MEDIUM

Renu Tagra1*, Jagdish Nandal2 and Anil Kumar3
Author’s Affiliation : 1Assistant Professor, G.V.M. Girls College, Sonepat, Haryana 131001, India E-mail: [email protected] 2Professor, Department of Mathematics, Maharshi Dayanand University, Rohtak, Haryana 124001, India E-mail: [email protected], 3Assistant Professor, Pt. Neki Ram Sharma Government College, Rohtak, Haryana 124001, India E-mail: [email protected]

Corresponding Author : Renu Tagra, Department of Mathematics, G.V.M. Girls College, Sonepat, Haryana 131001, India ,
E-Mail:-[email protected]


Abstract

Two Orthotropic half-spaces (M-I and M-II) are in welded contact, where M-I has a layer of thickness H. At layer, there is a horizontal discontinuity which intersects with one of the axes. Horizontal discontinuity is due to a torque source and it passes through the point (H, 0, 0). By using Fourier Transform Method, we obtained displacement components for both the half-spaces and observed that the displacement is same throughout M-I. Numerically obtained results are depicted graphically to show that the half-space having discontinuity is more deformed as compared to other half-space. Effect of anisotropy is also studied and observed that orthotropic medium is more deformed as compared to isotropic medium.

Keywords

Horizontal Discontinuity, Welded Contact, Torque Source, Orthotropic, Layered, Boundary Conditions
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