Linearized von Kármán theory for incompressible magnetoelastic plates
Copyright policy )Linearized von Kármán theory for incompressible magnetoelastic plates
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.
- TU Wien Austria
Mathematics - Analysis of PDEs, Electromagnetic effects in solid mechanics, dimension reduction, magnetic saturation constraint, Energy minimization in equilibrium problems in solid mechanics, magnetoelastic energy minimization, Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics, gamma-convergence, Plates, PDEs in connection with mechanics of deformable solids, mixed Eulerian-Lagrangian variational problem
Mathematics - Analysis of PDEs, Electromagnetic effects in solid mechanics, dimension reduction, magnetic saturation constraint, Energy minimization in equilibrium problems in solid mechanics, magnetoelastic energy minimization, Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics, gamma-convergence, Plates, PDEs in connection with mechanics of deformable solids, mixed Eulerian-Lagrangian variational problem
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