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Oscillations of a temperature-dependent piezoelectric rod

The result's identifiers

  • Result code in IS VaVaI

    <a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F19%3A00496181" target="_blank" >RIV/67985840:_____/19:00496181 - isvavai.cz</a>

  • Alternative codes found

    RIV/68407700:21110/19:00338060

  • Result on the web

    <a href="http://dx.doi.org/10.1016/j.nonrwa.2018.10.001" target="_blank" >http://dx.doi.org/10.1016/j.nonrwa.2018.10.001</a>

  • DOI - Digital Object Identifier

    <a href="http://dx.doi.org/10.1016/j.nonrwa.2018.10.001" target="_blank" >10.1016/j.nonrwa.2018.10.001</a>

Alternative languages

  • Result language

    angličtina

  • Original language name

    Oscillations of a temperature-dependent piezoelectric rod

  • Original language description

    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.

  • Czech name

  • Czech description

Classification

  • Type

    J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database

  • CEP classification

  • OECD FORD branch

    10101 - Pure mathematics

Result continuities

  • Project

    <a href="/en/project/EF16_019%2F0000778" target="_blank" >EF16_019/0000778: Center for advanced applied science</a><br>

  • Continuities

    I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Others

  • Publication year

    2019

  • Confidentiality

    S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Data specific for result type

  • Name of the periodical

    Nonlinear Analysis: Real World Applications

  • ISSN

    1468-1218

  • e-ISSN

  • Volume of the periodical

    46

  • Issue of the periodical within the volume

    April

  • Country of publishing house

    GB - UNITED KINGDOM

  • Number of pages

    18

  • Pages from-to

    403-420

  • UT code for WoS article

    000452576700022

  • EID of the result in the Scopus database

    2-s2.0-85055052365