An iteration method for integral equations arising from axisymmetric loading problems
type: Item
instance of: scholarly article
title: An iteration method for integral equations arising from axisymmetric loading problems
zbMATH Open document ID: 0611.73085
DOI: 10.1007/BF01872632
published in: Applied Mathematics and Mechanics. (English Edition)
publication date: 1980-01-01T00:00:00Z
review text: Let the concentrated forces and the centers of pressure with unknown density functions x(\(\xi)\) and y(\(\xi)\), respectively, be distributed along the axis z outside the solid, then one can reduce an axisymmetric loading problem of solids of revolution to two simultaneous Fredholm integral equations. An iteration method for solving such equations is discussed. A lemma equivalent to E. Rakotch's contractive mapping theorem and a theorem concerning the convergence of the iteration method are presented.
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 45B05
zbMATH DE Number: 3988860
zbMATH Keywords: axisymmetric loading problem
zbMATH Keywords: solids of revolution
zbMATH Keywords: two simultaneous Fredholm integral equations
zbMATH Keywords: iteration method
zbMATH Keywords: Rakotch's contractive mapping theorem
zbMATH Keywords: convergence
author: Tian-quan Yun
MaRDI profile type: Publication
cites work: Integral equation methods for analysis of piece-wise non-homogeneous three-dimensional elastic solids of arbitrary shape
cites work: Minimum Principles for Ill-Posed Problems
cites work: Q4047075
full work available at URL: https://doi.org/10.1007/bf01872632
OpenAlex ID: W1989990706
description: scientific article; zbMATH DE number 3988860