Počet záznamů: 1
Existence Results for Incompressible Magnetoelasticity
- 1.0443017 - ÚTIA 2016 RIV US eng J - Článek v odborném periodiku
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
Grant CEP: GA ČR GA13-18652S
Institucionální podpora: RVO:67985556
Klíčová slova: magnetoelasticity * magnetostrictive solids * incompressibility * existence of minimizers * quasistatic evolution * energetic solution
Kód oboru RIV: BA - Obecná matematika
Impakt faktor: 1.127, rok: 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.
Trvalý link: http://hdl.handle.net/11104/0246071
Počet záznamů: 1