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Existence Results for Incompressible Magnetoelasticity
- 1.0443017 - ÚTIA 2016 RIV US eng J - Journal Article
Kružík, Martin - Stefanelli, U. - Zeman, J.
Existence Results for Incompressible Magnetoelasticity.
Discrete and Continuous Dynamical Systems. Roč. 35, č. 6 (2015), s. 2615-2623. ISSN 1078-0947. E-ISSN 1553-5231
R&D Projects: GA ČR GA13-18652S
Institutional support: RVO:67985556
Keywords : magnetoelasticity * magnetostrictive solids * incompressibility * existence of minimizers * quasistatic evolution * energetic solution
Subject RIV: BA - General Mathematics
Impact factor: 1.127, year: 2015
http://library.utia.cas.cz/separaty/2015/MTR/kruzik-0443017.pdf
We investigate a variational theory for magnetoelastic solids un- der the incompressibility constraint. The state of the system is described by deformation and magnetization. While the former is classically related to the reference conguration, magnetization is dened in the deformed congura- tion instead. We discuss the existence of energy minimizers without relying on higher-order deformation gradient terms. Then, by introducing a suitable pos- itively 1-homogeneous dissipation, a quasistatic evolution model is proposed and analyzed within the frame of energetic solvability.
Permanent Link: http://hdl.handle.net/11104/0246071
Number of the records: 1