Thin vibrating plates: long time existence and convergence to the von Kármán plate equations

DOI10.1002/gamm.201110015zbMath1278.74071OpenAlexW1965586771MaRDI QIDQ2890599

Helmut Abels, Maria Giovanna Mora, Stefan Müller

Publication date: 11 June 2012

Published in: GAMM-Mitteilungen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/gamm.201110015

zbMATH Keywords

wave equationdimension reductionscaling

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Plates (74K20) Long-time behavior of solutions for dynamical problems in solid mechanics (74H40) Existence of solutions of dynamical problems in solid mechanics (74H20) PDEs in connection with mechanics of deformable solids (35Q74)

Cites Work

• Justification of the nonlinear Kirchhoff-Love theory of plates as the application of a new singular inverse method
• A hierarchy of plate models derived from nonlinear elasticity by gamma-convergence
• Convergence of Equilibria of Thin Elastic Plates - The Von Karman Case