Some theorems on two-temperature generalized thermoelasticity

Abstract

The aim of the present work is to establish a reciprocal principle of Betti type in the context of linear theory of two-temperature generalized thermoelasticity (Youssef in IMA J Appl Math 71:383-390, 2006; Arch Appl Mech 75:553-565, 2006) for homogeneous and isotropic body. Generalizations of the theorems of Somigliana and Green to two-temperature generalized thermoelasticity are also established on the basis of our reciprocal principle. © 2010 Springer-Verlag.