Search

The main concern of the present article is based on unified generalized thermoelasticity in an isotropic and homogeneous medium. The uniqueness theorem and Betti type reciprocal principle are derived. Based on the reciprocal theorem, the generalization of the Somigliana and Green theorem is also established in the present context. [ABSTRACT FROM AUTHOR]

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. [ABSTRACT FROM AUTHOR]

The aim of the present paper is to establish a convolutional type (Gurtin ME. Variational principles for linear elastodynamics. Arch Ration Mech Anal 1964; 16: 34—50) variational principle and a reciprocal principle in the context of the linear theory of thermoelasticity of type III. To establish the variational and reciprocal principles, we firstly formulate a characterization of the mixed boundary initial value problem in which the initial conditions are incorporated into the field equations. [ABSTRACT FROM PUBLISHER]

The aim of the present work is to establish a variational principle of convolutional type and a reciprocal principle in the context of linear theory of two-temperature generalized thermoelasticity, for a homogeneous and isotropic body. [ABSTRACT FROM AUTHOR]