Some remarks on continuous dependence and uniqueness in finite elastostatics for unbounded domains
type: Item
instance of: scholarly article
title: Some remarks on continuous dependence and uniqueness in finite elastostatics for unbounded domains
zbMATH Open document ID: 0569.73042
DOI: 10.1007/BF02337055
published in: Meccanica
publication date: 1985-01-01T00:00:00Z
review text: The author shows that continuous dependence and uniqueness in finite elastostatics for an unbounded domain hold in a not necessarily convex class of functions and under relatively weak hypothesis on behaviour at infinity. The nonconvex hypothesis are similar to those introduced by \textit{Sh. Breuer} and \textit{M. Aron} [J. Elasticity 12, 161-166 (1982; Zbl 0497.73015)] for a bounded domain, while the proof is based on a weighted virtual work method due to \textit{S. Rionero} and \textit{G. P. Galdi} [Arch. Ration Mech. Anal., 69, 37-52 (1979; Zbl 0423.76027)].
Mathematics Subject Classification ID: 74B20
Mathematics Subject Classification ID: 74G30
Mathematics Subject Classification ID: 74H25
zbMATH DE Number: 3909866
zbMATH Keywords: continuous dependence
zbMATH Keywords: finite elastostatics
zbMATH Keywords: unbounded domain
zbMATH Keywords: weak hypothesis on behaviour at infinity
zbMATH Keywords: nonconvex hypothesis
zbMATH Keywords: weighted virtual work method
author: Edoardo Scarpetta
reviewed by: Józef Ignaczak
MaRDI profile type: Publication
cites work: Q4750179
cites work: On stability and uniqueness in finite elasticity
cites work: On continuous dependence in finite elasticity
cites work: The weight function approach to uniqueness of viscous flows in unbounded domains
cites work: Sufficient conditions for continuous dependence in nonlinear hyperelasticity
cites work: Uniqueness theorems for displacement fields with locally finite energy in linear elastostatics
cites work: Uniqueness in linear elastostatics for problems involving unbounded bodies
cites work: Q4023641
cites work: Energetic bounds in finite elasticity
cites work: Uniqueness theorems for finite elastodynamics
cites work: Theorems of continuous dependence in elasticity for exterior domains
cites work: Stability of general systems
full work available at URL: https://doi.org/10.1007/bf02337055
OpenAlex ID: W2072818382
description: scientific article; zbMATH DE number 3909866