Oscillations of a temperature-dependent piezoelectric rod

0496181 - MÚ 2020 RIV GB eng J - Journal Article
Krejčí, Pavel - Monteiro, Giselle Antunes
Oscillations of a temperature-dependent piezoelectric rod.
Nonlinear Analysis: Real World Applications. Roč. 46, April (2019), s. 403-420. ISSN 1468-1218. E-ISSN 1878-5719
Institutional support: RVO:67985840
Keywords : heat propagation * hysteresis * piezoelectricity
OECD category: Pure mathematics
Impact factor: 2.072, year: 2019
Method of publishing: Limited access
http://dx.doi.org/10.1016/j.nonrwa.2018.10.001

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.
Permanent Link: http://hdl.handle.net/11104/0289006