Počet záznamů: 1  

Existence Results for Incompressible Magnetoelasticity

  1. 1. 0443017 - UTIA-B 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
    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

    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