Asymptotic behavior of solutions in nonlinear dynamic elasticity
type: Item
instance of: scholarly article
title: Asymptotic behavior of solutions in nonlinear dynamic elasticity
zbMATH Open document ID: 0874.35017
author: W. Heyman
author: Irena Lasiecka
published in: Discrete and Continuous Dynamical Systems
publication date: 1997-11-10T00:00:00Z
review text: The asymptotic behavior of a 2D nonlinear elastic system (nonlinear plate with nonlinear internal damping) is studied. The authors are interested in the following problem: How and to which extent can one maximize the margin of stability by introducing suitable large damping? A quantitative statement describing the balance between static and dynamic properties of this nonlinear plate model, in regard to maximization of stability properties, is formulated in a theorem. The asymptotic behavior of the plate model in the case of load attached to the plate is analysed. It is shown that all solutions are attracted by a global and compact attractor.
Mathematics Subject Classification ID: 35B40
Mathematics Subject Classification ID: 74K20
Mathematics Subject Classification ID: 74H55
zbMATH DE Number: 1010967
zbMATH Keywords: nonlinear plate
zbMATH Keywords: nonlinear internal damping
zbMATH Keywords: global and compact attractor
reviewed by: István Ecsedi
MaRDI profile type: Publication
full work available at URL: dcds.1995.1.237
OpenAlex ID: W1994263536
DOI: 10.3934/DCDS.1995.1.237
Recommended article: Q3297886
Recommended article: Q3775056
Recommended article: Asymptotic solutions to the non-linear cantilever elastica
Recommended article: Asymptotic stability in nonlinear elastic materials with dissipation
Recommended article: Some inequalities and asymptotic behavior of a dynamic problem of linear elasticity
Recommended article: Asymptotic behaviour in the nonlinear elastic beam
Recommended article: Some exact dynamic solutions in nonlinear elasticity
Recommended article: Q4185900
Recommended article: Nonlinear dynamical theory of the elastica
Recommended article: Q3594474
description: scientific article; zbMATH DE number 1010967