Kurzweil integral representation of interacting Prandtl-Ishlinskii operators

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F15%3A00447655" target="_blank" >RIV/67985840:_____/15:00447655 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.3934/dcdsb.2015.20.2949" target="_blank" >http://dx.doi.org/10.3934/dcdsb.2015.20.2949</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3934/dcdsb.2015.20.2949" target="_blank" >10.3934/dcdsb.2015.20.2949</a>

Result language
angličtina
Original language name
Kurzweil integral representation of interacting Prandtl-Ishlinskii operators
Original language description
We consider a system of operator equations involving Prandtl-Ishlinskii hysteresis operators. This system generalizes the classical mechanical models of elastoplasticity, friction and fatigue by introducing internal coupling. We show that under quite general assumptions the coupled system is equivalent to one possibly discontinuous extension of the Prandtl-Ishlinskii operator in the Kurzweil integral setting. This effective operator is described constructively in terms of the parameters of the coupled system. Our result is based on a new substitution formula for the Kurzweil integral which is also proved here.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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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

Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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