Bulletin of Pure and Applied Sciences
  • Year: 2019
  • Volume: 38E
  • Issue: 1

Deformation Due to a Torque Source in Layered Orthotropic Elastic Medium in Welded Contact With Another Orthotropic Elastic Medium

  • Author:
  • Renu Tagra1,, Jagdish Nandal2,, Anil Kumar3,
  • Total Page Count: 10
  • Published Online: Jun 1, 2019
  • Page Number: 31 to 40

1Assistant Professor, G.V.M. Girls College, Sonepat, Haryana131001, India E-mail: renutagra22.rt@gmail.com

2Professor, Department of Mathematics, Maharshi Dayanand University, Rohtak, Haryana124001, India

3Assistant Professor, Pt. Neki Ram Sharma Government College, Rohtak, Haryana124001, India

*Corresponding Author: Renu Tagra, Department of Mathematics, G.V.M. Girls College, Sonepat, Haryana 131001, India E-mail: renutagra22.rt@gmail.com

**E-mail: js_nandal_2k5@yahoo.in

*** E-mail: dranil120975@gmail.com

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