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Investigations on sensing and controlling thermally induced transient structural deformations by means of piezoelectric elements are reviewed in this article. Past research in the field of thermopiezoelasticity having relevance to smart structures is discussed briefly. Equations governing the linear response of piezothermoelastic media are outlined; and solution procedures for determining the thermal, elastic, and electric fields in composite structures constructed of thermoelastic and piezothermoelastic layers are discussed. Applications of the solution techniques to direct problems (prescribed transient thermal loadings), control problems (applied electric potentials), inverse problems (determination of thermal loadings from knowledge of induced electric potentials), and intelligent problems (piezoelectric layers serve both to sense thermal loadings and suppress deformations) are addressed.
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Tauchert et al. (2003) studied this question.
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