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

共 50 条

[21] Unilateral dynamic contact of von Karman plates with singular memory
Bock, Icor
Jarusek, Jiri
[J]. APPLICATIONS OF MATHEMATICS, 2007, 52 (06) : 515 - 527
[22] SOLVABILITY OF DYNAMIC CONTACT PROBLEMS FOR ELASTIC VON KARMAN PLATES
Bock, Igor
Jarusek, Jiri
[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2009, 41 (01) : 37 - 45
[23] Attractors and long time behavior of von Karman thermoelastic plates
Chueshov, Igor
Lasiecka, Irena
[J]. APPLIED MATHEMATICS AND OPTIMIZATION, 2008, 58 (02): : 195 - 241
[24] Convergence of equilibria of thin elastic plates -: The von Karman case
Mueller, S.
Pakzad, M. R.
[J]. COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2008, 33 (06) : 1018 - 1032
[25] On semicoerciveness, a class of variational inequalities, and an application to von Karman plates
Goeleven, D
Gwinner, J
[J]. MATHEMATISCHE NACHRICHTEN, 2002, 244 : 89 - 109
[26] A derivation of degenerate von Karman equations for strongly anisotropic plates
Root, RG
[J]. QUARTERLY OF APPLIED MATHEMATICS, 1999, 57 (01) : 19 - 36
[27] On the semidiscretization and linearization of pseudoparabolic von Karman system for viscoelastic plates
Bock, I
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2006, 29 (05) : 557 - 573
[28] ON THE WEAK SOLUTION OF THE VON-KARMAN MODEL WITH THERMOELASTIC PLATES
Oudaani, Jaouad
Raissouli, Mustapha
[J]. MATHEMATICS IN APPLIED SCIENCES AND ENGINEERING, 2023, 4 (02): : 128 - 143
[29] Morphogenesis of thin hyperelastic plates: A constitutive theory of biological growth in the Foppl-von Karman limit
Dervaux, Julien
Ciarletta, Pasquale
Ben Amar, Martine
[J]. JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS, 2009, 57 (03) : 458 - 471
[30] Attractors and Long Time Behavior of von Karman Thermoelastic Plates
Igor Chueshov
Irena Lasiecka
[J]. Applied Mathematics and Optimization, 2008, 58 : 195 - 241

← 1 2 3 4 5 →