vix.ing · top · new · best · stats

Linearized von Kármán theory for incompressible magnetoelastic plates

2020/07/31 by Marco Bresciani
Mathematics · #math.AP

paper · pdf · doi:10.1142/s0218202521500445

published as Mathematical Models and Methods in Applied Sciences, Vol. 31, No. 10 (2021) · 37 pages, 2 figures

arxiv created 2021/06/16 · arxiv updated 2022/01/06

Abstract

We study the asymptotic behaviour, 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 confguration.

Cited by