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Linearized von Kármán theory for incompressible magnetoelastic plates

Marco Bresciani

Institute of Analysis and Scientific Computing, TU Wien, Wiedner Hauptstrasse 8-10, 1040 Vienna, Austria

E-mail Address: marco.bresciani@tuwien.ac.at

https://doi.org/10.1142/S0218202521500445Cited by:6 (Source: Crossref)

Abstract

We study the asymptotic behavior, in the sense of $Γ$ -convergence, of a thin incompressible magnetoelastic plate, as its thickness goes to zero. We focus on the linearized von Kármán regime. The model features a mixed Eulerian–Lagrangian formulation, as magnetizations are defined on the deformed configuration.

Communicated by U. Stefanelli

Keywords:

AMSC: 74F15, 74G65, 74K20, 49J45

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