On the completeness of solutions of Boussinesq, Timple, Love, and Michell in axisymmetric elasticity
type: Item
instance of: scholarly article
title: On the completeness of solutions of Boussinesq, Timple, Love, and Michell in axisymmetric elasticity
zbMATH Open document ID: 0627.73017
DOI: 10.1007/BF00041697
author: B. George
published in: Journal of Elasticity
publication date: 1988-01-01T00:00:00Z
review text: The completeness of Love's solution was proved by Noll, Gurtin, and Carlson if the meridional half-section is z-convex. In this paper it is pointed out that the condition of z-convexity is unnecessary for the completeness of Love's solution.
Mathematics Subject Classification ID: 74B99
Mathematics Subject Classification ID: 74B10
Mathematics Subject Classification ID: 31A05
zbMATH DE Number: 4020559
zbMATH Keywords: concept of conjugate harmonic axisymmetric functions
zbMATH Keywords: axisymmetric form of Papkovich-Neuber solution
zbMATH Keywords: completeness of Love's solution
MaRDI profile type: Publication
cites work: On the Stress-Function Approaches of Boussinesq and Timpe to the Axisymmetric Problem of Elasticity Theory
cites work: Q3237663
cites work: Verschiebungsfunktionen für elastische Schwingungsprobleme
cites work: A note on the solutions of Boussinesq, Love, and Marguerre in axisymmetric elasticity
cites work: Q3280274
full work available at URL: https://doi.org/10.1007/bf00041697
OpenAlex ID: W2012498093
description: scientific article; zbMATH DE number 4020559