All

What are you looking for?

All
Projects
Results
Organizations

Quick search

  • Projects supported by TA ČR
  • Excellent projects
  • Projects with the highest public support
  • Current projects

Smart search

  • That is how I find a specific +word
  • That is how I leave the -word out of the results
  • “That is how I can find the whole phrase”

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

  • 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/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

  • 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