2020
DOI: 10.1080/01495739.2020.1782293
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On thermo-electro-viscoelastic relaxation functions in a Green–Naghdi type theory

Abstract: We find restrictions on the relaxation functions of thermo-electro-viscoelastic materials. This is achieved within an extension of the Green-Naghdi theory for thermoelasticity, which uses the energy equation to exploit constitutive equations. These restrictions extend the results previously found for thermoviscoelastic materials and for the classical infinitesimal theory of viscoelasticity.KEYWORDS viscoelasticity; thermo-electro-viscoelasticity; relaxation functions; thermodynamic restrictions; restrictions o… Show more

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Cited by 2 publications
(7 citation statements)
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“…A simple choice of the relaxation functions that satisfy all the conditions above is made in Sect. 15.2 of [17].…”
Section: Preliminariesmentioning
confidence: 98%
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“…A simple choice of the relaxation functions that satisfy all the conditions above is made in Sect. 15.2 of [17].…”
Section: Preliminariesmentioning
confidence: 98%
“…with χ(X, t) being the motion, α is the thermal displacement [1,2], and φ is the electric potential. In the following we will always assume that these functions are of class C 2 in B × R. Following [17], for…”
Section: Preliminariesmentioning
confidence: 99%
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