A coated circular inhomogeneity in nonlinearly coupled thermoelectric materials View Full Text


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Article Info

DATE

2022-09-08

AUTHORS

Xu Wang, Peter Schiavone

ABSTRACT

We study the nonlinearly coupled thermo-electro-mechanical plane problem associated with a coated circular inhomogeneity embedded in an infinite thermoelectric matrix subjected to uniform remote electric current density and uniform remote energy flux. Closed-form analytic solutions are derived via complex variable methods. Using analytic continuation, the original problem for the thermoelectric field is reduced to four separate linear algebraic equations for the determination of the four complex constants appearing in the corresponding analytic functions. Similarly, the problem for the thermally and electrically induced elastic field is ultimately reduced to two coupled linear algebraic equations and two separate linear algebraic equations for the determination of four complex constants appearing in the associated analytic functions. All of the twelve analytic functions characterizing the thermoelectric and thermoelastic fields are completely determined once these eight complex constants are obtained. More... »

PAGES

4

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s10665-022-10236-5

DOI

http://dx.doi.org/10.1007/s10665-022-10236-5

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1150856695


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