THERMOSTATICS OF AN INFINITE MIXTURE OF AN ELASTIC SOLID AND A FLUID CONTAINING A SPHERICAL THERMAL INCLUSION


ERKMAN C., GURGOZE I.

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, vol.29, no.10, pp.1269-1276, 1991 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 29 Issue: 10
  • Publication Date: 1991
  • Doi Number: 10.1016/0020-7225(91)90030-7
  • Title of Journal : INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
  • Page Numbers: pp.1269-1276

Abstract

The basic constitutive equations for a mixture are given by Green and Naghdi [1]. In the present paper, we follow [2], and we obtain the thermoelastic equations for a mixture of an elastic solid and a fluid. We observe that the thermoelastic equations of a mixture and the Lame's equations of the thermoelasticity are formally the same. Throughout this paper, we find a more generalized form of Betti's reciprocal theorem and Maysel's formula for a mixture. Finally, a solution of a spherical thermal inclusion of radius a in an infinite mixture is obtained by using generalized Maysel's formula and by direct integration of the governing differential equations.