Download this article
 Download this article For screen
For printing
Recent Issues

Volume 19
Issue 4, 541–572
Issue 3, 303–540
Issue 2, 157–302
Issue 1, 1–156

Volume 18, 5 issues

Volume 17, 5 issues

Volume 16, 5 issues

Volume 15, 5 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 5 issues

Volume 10, 5 issues

Volume 9, 5 issues

Volume 8, 8 issues

Volume 7, 10 issues

Volume 6, 9 issues

Volume 5, 6 issues

Volume 4, 10 issues

Volume 3, 10 issues

Volume 2, 10 issues

Volume 1, 8 issues

The Journal
About the journal
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
 
Subscriptions
 
ISSN (electronic): 1559-3959
ISSN (print): 1559-3959
 
Author index
To appear
 
Other MSP journals
A nonlinearly coupled thermoelectric circular inhomogeneity with interface slip and diffusion

Xu Wang and Peter Schiavone

Vol. 18 (2023), No. 4, 521–532
Abstract

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.

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