Global Journal of Pure and Applied Mathematics
  • Year: 2009
  • Volume: 5
  • Issue: 2

Quasi-Static Thermal Stresses in a Thick Rectangular Plate

  • Author:
  • Kishor R. Gaikwad, Kirtiwant P. Ghadle
  • Total Page Count: 9
  • Page Number: 139 to 147

Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad, 431004, Maharashtra, India,.

AMS Subject Classification: 35A25, 74M99, 74K20.

Abstract

The aim of this work is to determine, the quasi-static thermal stresses in a thick rectangular plate subjected to constant heat supply on the extreme edges (x = a, y = b, z = c) where as the initial edges (x = 0, y = 0, z =0) are thermally insulated. With initial temperature of a plate is kept at zero. The governing heat conduction equation has been solved by using triple-integral transform technique. The results are obtained in series form in term of circular functions. The results for displacement and stresses have been computed numerically and illustrated graphically.

Keywords

Quasi-static, thermal stresses, thick rectangular plate, Triple-integral transform, Triple-inversion formula, Airy's stress function