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 Gamma-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 rate-independent type is obtained. The existence of so-called energetic solutions to such system is proved via approximation.
Quasistatic evolution of magnetoelastic plates via dimension reduction / Kruzik, M.; Stefanelli, U.; Zanini, Chiara. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. - ISSN 1078-0947. - STAMPA. - 35:12(2015), pp. 5999-6013. [10.3934/dcds.2015.35.5999]
Quasistatic evolution of magnetoelastic plates via dimension reduction
ZANINI, CHIARA
2015
Abstract
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 Gamma-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 rate-independent type is obtained. The existence of so-called energetic solutions to such system is proved via approximation.Pubblicazioni consigliate
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https://hdl.handle.net/11583/2602194
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