Oscillations of a temperature-dependent piezoelectric rod

Piezoelectricity of some materials has shown to have many applications, in particular in energy harvesting. Due to the inherent hysteresis in the characteristic of such materials, a number of hysteretic models have been proposed minding the fact that hysteresis losses may influence the efficiency of...

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Bibliographic Details
Published in:Nonlinear analysis: real world applications 2019-04, Vol.46, p.403-420
Main Authors: Krejčí, Pavel, Monteiro, Giselle A.
Format: Article
Language:English
Subjects:
Core loss
Electricity
Energy efficiency
Energy harvesting
Heat
Heat propagation
Hysteresis
Physical properties
Piezoelectricity
Temperature
Temperature dependence
Thermodynamics
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Summary:Piezoelectricity of some materials has shown to have many applications, in particular in energy harvesting. Due to the inherent hysteresis in the characteristic of such materials, a number of hysteretic models have been proposed minding the fact that hysteresis losses may influence the efficiency of the process. However, hysteresis dissipation is accompanied with heat production, which in turn increases the temperature of the device and may change its physical characteristics. In this paper we propose a phenomenological model for electromechanical coupling in piezoelectric materials where temperature and feedback effects are taken into account. We prove the existence of solution for the resulting PDE system and show that the model is thermodynamically consistent. The main analytical tool is the inverse Preisach operator with temperature-dependent density.
ISSN:1468-1218
1878-5719
DOI:10.1016/j.nonrwa.2018.10.001