Linearized von Karman theory for incompressible magnetoelastic plates

被引：5

作者：

Bresciani, Marco ^{[1
]}

机构：

[1] TU Wien, Inst Anal & Sci Comp, Wiedner Hauptstr 8-10, A-1040 Vienna, Austria

来源：

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES | 2021年 / 31卷 / 10期

基金：

奥地利科学基金会;

关键词：

Magnetoelasticity; mixed Eulerian-Lagrangian variational problems; thin plates; Gamma-convergence; NONLINEAR ELASTICITY; ENERGY MINIMIZERS; GAMMA-CONVERGENCE; EXISTENCE; HOMOGENIZATION; INVERTIBILITY; INJECTIVITY; RIGIDITY;

D O I：

10.1142/S0218202521500445

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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

引用

页码：1987 / 2037

页数：51

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