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Journal Article

Quasistatic evolution of magnetoelastic plates via dimension reduction

Kružík Martin, Stefanelli U., Zanini Ch.

: Discrete and Continuous Dynamical Systems vol.35, 12 (2015), p. 5999-6013

: GAP201/10/0357, GA ČR, GA14-15264S, GA ČR

: magnetoelasticity, energetic solution, existence, dimension reduction

: 10.3934/dcds.2015.35.5999

: http://library.utia.cas.cz/separaty/2015/MTR/kruzik-0444502.pdf

(eng): 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.

: BA