The clamped plate with nonlinear elastic obstable
type: Item
instance of: scholarly article
title: The clamped plate with nonlinear elastic obstable
zbMATH Open document ID: 0758.73044
author: Aldo Maceri
published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni
publication date: 1992-10-01T00:00:00Z
full work available at URL: https://eudml.org/doc/244122
review text: Summary: We model the problem of a linear elastic plate resting on elastic subgrade in the case of a nonlinear response of this obstacle. In particular, we assume a unilateral nature of the contact and a cubic force-displacement relationship to describe the constitutive law of the subgrade. This model is a generalization of Winkler's one and is very useful to describe in some approximate way many technical cases. We prove existence and uniqueness results for this problem in the appropriate analytical framework, by using the functional analysis methods and the variational inequalities theory results.
Mathematics Subject Classification ID: 74A55
Mathematics Subject Classification ID: 74M15
Mathematics Subject Classification ID: 74B05
Mathematics Subject Classification ID: 74B20
Mathematics Subject Classification ID: 49J40
zbMATH DE Number: 68880
zbMATH Keywords: linear elastic plate
zbMATH Keywords: cubic force-displacement relationship
zbMATH Keywords: existence
zbMATH Keywords: uniqueness
zbMATH Keywords: functional analysis
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 68880