Variational and reciprocal principles in linear theory of type-III thermoelasticity

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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.