Existence results for incompressible magnetoelasticity

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21110%2F15%3A00227968" target="_blank" >RIV/68407700:21110/15:00227968 - isvavai.cz</a>
Alternative codes found
RIV/67985556:_____/15:00443017
Result on the web
<a href="http://arxiv.org/abs/1311.4097" target="_blank" >http://arxiv.org/abs/1311.4097</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3934/dcds.2015.35.2615" target="_blank" >10.3934/dcds.2015.35.2615</a>

Result language
angličtina
Original language name
Existence results for incompressible magnetoelasticity
Original language description
We investigate a variational theory for magnetoelastic solids under the incompressibility constraint. The state of the system is described by deformation and magnetization. While the former is classically related to the reference configuration, magnetization is defined in the deformed configuration instead. We discuss the existence of energy minimizers without relying on higher-order deformation gradient terms. Then, by introducing a suitable positively 1-homogeneous dissipation, a quasistatic evolutionmodel is proposed and analyzed within the frame of energetic solvability.
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
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

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

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