On thermo-electro-mechanical simple materials with fading memory

Montanaro, Adriano

doi:10.1007/s11012-017-0640-2

Cited by 8 publications

(4 citation statements)

References 16 publications

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“…We have used the theory in [1] for thermo-electro-mechanical simple materials with fading memory to set up a thermoelectro viscoelastic theory, which is obtained by a linearization procedure with the Riesz representation theorem. The usefulness of this future work lies in its possible applications in material theories, e.g.…”

Section: Discussionmentioning

confidence: 99%

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Relaxation functions in thermo-electro-viscoelasticity

Montanaro¹

2019

AIP Conference Proceedings

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In paper [2] the theory [1] for a thermo-electro-mechanical simple body B with fading memory is used to set up a thermoelectro viscoelastic theory, which is obtained by a linearization procedure and the Riesz representation theorem. This is done within the Green-Naghdy scheme of thermodynamics. Hence several restrictions on the various relaxation functions are found that extend the ones in [3] for finitely thermoviscoelastic materials. The restrictions are obtained from an internal dissipation inequality that is a consequence of a dissipation inequality.

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Section: Discussionmentioning

confidence: 99%

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confidence: 99%

Relaxation functions in thermo-electro-viscoelasticity

Montanaro¹

2019

AIP Conference Proceedings

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“…the inertial heat and inertial entropy concepts and the temperature wave equation. Montanaro [24] extended the Green-Naghdi theoretical approach for thermoelasticity to thermoelectro-mechanical simple materials with fading memory that are electrically polarizable. Ghaleb et al [25] proposed a model exhibiting thermoelectro-mechanical couplings in extended thermodynamics.…”

Section: Introductionmentioning

confidence: 99%

One-dimensional nonlinear model of generalized thermo-electroelasticity

Ghaleb

Ahmed²,

Mosharafa

2023

Preprint

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We investigate a one-dimensional restriction of a nonlinear model of thermo-electroelasticity in extended thermodynamics and in the quasi-electrostatic regime (see [25]). An additional dependence of the thermal conductivity and the thermal relaxation time on temperature and heat flux is introduced. The aim of the present work is to assess the effect of some quadratic nonlinear couplings between the mechanical, thermal and electric fields. Such couplings are known to have a crucial effect on the stability of the solutions. It is confirmed that there are two speeds of wave propagation of disturbances, the coupled thermoelastic wave and the heat wave. Formulae are provided for both speeds, showing their explicit dependence on temperature, heat flux and electric field. The purely thermal case is briefly considered. The present results may be useful for the description of a broad range of interactions in polarizable materials and for the design of such materials.

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“…The compatibility of the models with the second law of thermodynamics is also analysed. In [3] the behaviour of thermo-electro-mechanical simple materials with fading memory is studied. The combined effects of the different physical actions on the body are taken into account adopting a Green-Naghdi model to describe the thermoelastic behaviour of the considered materials.…”

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confidence: 99%