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, cilt.29, sa.10, ss.1269-1276, 1991 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 29 Konu: 10
  • Basım Tarihi: 1991
  • Doi Numarası: 10.1016/0020-7225(91)90030-7
  • Dergi Adı: INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
  • Sayfa Sayıları: ss.1269-1276

Özet

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.