Some General Theorems of Incremental Thermoelectroelasticity

TL;DR

This paper extends classical theorems to incremental thermoelectroelasticity with biasing fields, including a uniqueness theorem, generalized Hamilton principle, and reciprocity of work, for superposed incremental fields in biased bodies.

Contribution

It introduces new theoretical results for incremental thermoelectroelasticity with biasing fields, generalizing classical theorems from linear thermopiezoelectricity.

Findings

Proves a uniqueness theorem for incremental solutions.

Establishes a generalized Hamilton principle.

Derives a reciprocity of work theorem.

Abstract

We extend to incremental thermoelectroelasticity with biasing fields certain classical theorems, that have been stated and proved in linear thermopiezoelectricity referred to a natural configuration. A uniqueness theorem for the solutions to the initial boundary value problem, the generalized Hamilton principle and a theorem of reciprocity of work are deduced for incremental fields superposed on finite biasing fields in a thermoelectroelastic body.