Quasistatic evolution of magnetoelastic plates via dimension reduction

0444502 - ÚTIA 2016 RIV US eng J - Journal Article
Kružík, Martin - Stefanelli, U. - Zanini, Ch.
Quasistatic evolution of magnetoelastic plates via dimension reduction.
Discrete and Continuous Dynamical Systems. Roč. 35, č. 12 (2015), s. 5999-6013. ISSN 1078-0947. E-ISSN 1553-5231
R&D Projects: GA ČR GAP201/10/0357; GA ČR GA14-15264S
Institutional support: RVO:67985556
Keywords : magnetoelasticity * energetic solution * existence * dimension reduction
Subject RIV: BA - General Mathematics
Impact factor: 1.127, year: 2015
http://library.utia.cas.cz/separaty/2015/MTR/kruzik-0444502.pdf

A rate-independent model for the quasistatic evolution of a magnetoelastic plate is advanced and analyzed. Starting from the three-dimensional setting, we present an evolutionary Γ-convergence argument in order to pass to the limit in one of the material dimensions. By taking into account both conservative and dissipative actions, a nonlinear evolution system of rateindependent type is obtained. The existence of so-called energetic solutions to such system is proved via approximation.
Permanent Link: http://hdl.handle.net/11104/0247497