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A nonlinearly coupled thermoelectric circular inhomogeneity with interface slip and diffusion

Xu Wang and Peter Schiavone

Vol. 18 (2023), No. 4, 521–532

We first examine the problem associated with the thermoelectric and thermoelastic fields for a nonlinearly coupled thermoelectric circular inhomogeneity with interface slip and diffusion embedded in an infinite nonlinearly coupled thermoelectric matrix subjected to uniform remote electric current density and uniform remote energy flux. A closed-form solution to the time-dependent thermoelastic problem is derived using complex variable techniques. We observe that the electrically and thermally induced stresses and displacements evolve with three relaxation times: two of these are attributed to the applied electric current density while the remaining relaxation time is induced by the applied energy flux. As time approaches infinity, the internal stress field inside the circular inhomogeneity remains nonuniform. We subsequently adapt the proposed solution method to study the case of a thermoelectric circular inhomogeneity with spring-type imperfect interface.

thermoelectric material, circular inhomogeneity, interface slip and diffusion, spring-type interface, relaxation time, closed-form solution
Received: 9 January 2023
Revised: 4 April 2023
Accepted: 10 April 2023
Published: 30 May 2023
Xu Wang
School of Mechanical and Power Engineering
East China University of Science and Technology
Peter Schiavone
Department of Mechanical Engineering
University of Alberta
Edmonton, AB