A thermodynamically consistent phenomenological model for ferroelectric and ferroelastic hysteresis
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F16%3A00460530" target="_blank" >RIV/67985840:_____/16:00460530 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1002/zamm.201400292" target="_blank" >http://dx.doi.org/10.1002/zamm.201400292</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1002/zamm.201400292" target="_blank" >10.1002/zamm.201400292</a>
Alternative languages
Result language
angličtina
Original language name
A thermodynamically consistent phenomenological model for ferroelectric and ferroelastic hysteresis
Original language description
We propose a hysteretic model for electromechanical coupling in piezoelectric materials, with the strain and the electric field as inputs and the stress and the polarization as outputs. This constitutive law satisfies the thermodynamic principles and exhibits good agreement with experimental measurements. Moreover, when it is coupled with the mechanical and electromagnetic balance equations, the resulting PDE system is well-posed under the hypothesis that hysteretic effects take place only in one preferred direction. We prove the existence and uniqueness of its global weak solutions for each initial data with prescribed regularity. One of the tools is a new Lipschitz continuity theorem for the inverse Preisach operator with time dependent coefficients.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10101 - Pure mathematics
Result continuities
Project
<a href="/en/project/GA15-12227S" target="_blank" >GA15-12227S: Analysis of mathematical models of multifunctional materials with hysteresis</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace
Others
Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
ZAMM-Zeitschrift fur Angewandte Mathematik und Mechanik
ISSN
0044-2267
e-ISSN
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Volume of the periodical
96
Issue of the periodical within the volume
7
Country of publishing house
DE - GERMANY
Number of pages
18
Pages from-to
874-891
UT code for WoS article
000379927900007
EID of the result in the Scopus database
2-s2.0-84952333584