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Linearized von Kármán theory for incompressible magnetoelastic plates

Marco Bresciani

2021Mathematical Models and Methods in Applied Sciences12 citationsDOIOpen Access PDF

Abstract

We study the asymptotic behavior, in the sense of [Formula: see text]-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.

Topics & Concepts

CompressibilityConvergence (economics)Focus (optics)MathematicsMathematical analysisZero (linguistics)PhysicsMechanicsOpticsEconomic growthLinguisticsEconomicsPhilosophyAdvanced Mathematical Modeling in EngineeringElasticity and Material ModelingAdvanced Numerical Methods in Computational Mathematics
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