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Mathematics and Mechanics of Solids
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Steady Thermoelastic Oscillations in a Linear Theory of Plane Elasticity with Microstructure

E. Shmoylova

Department of Civil Engineering, University of Waterloo, Waterloo, Ontario, N2L 3G1 Canada

S. Potapenko

Department of Civil Engineering, University of Waterloo, Waterloo, Ontario, N2L 3G1 Canada

L. Rothenburg

Department of Civil Engineering, University of Waterloo, Waterloo, Ontario, N2L 3G1 Canada

In the present paper we consider the problem of steady thermoelastic oscillations in a linear theory of plane elasticity with microstructure where disturbance is represented by a train of harmonic waves. The corresponding boundary value problems of Dirichlet and Neumann type are formulated and solutions are obtained in the form of integral potentials using the real boundary integral equation method. Appropriate Sommerfeld radiation conditions are prescribed in the case of the exterior domain and the uniqueness result is established.

Key Words: Micropolar thermoelasticity • boundary integral equation method • stationary oscillations

This version was published on February 1, 2008

Mathematics and Mechanics of Solids, Vol. 13, No. 1, 23-37 (2008)
DOI: 10.1177/1081286506069846
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