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

ERKMAN, C; GURGOZE, IT

doi:10.1016/0020-7225(91)90030-7

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

Atıf İçin Kopyala

ERKMAN C., GURGOZE I.

INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, cilt.29, sa.10, ss.1269-1276, 1991 (SCI-Expanded)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 29 Sayı: 10
Basım Tarihi: 1991
Doi Numarası: 10.1016/0020-7225(91)90030-7
Dergi Adı: INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.1269-1276
İstanbul Teknik Üniversitesi Adresli: Hayır

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.