Nonlinear boundary equations for a class of one-side boundary value problems of contact mechanics for elastic bodies and their numerical solution
type: Item
instance of: scholarly article
title: Nonlinear boundary equations for a class of one-side boundary value problems of contact mechanics for elastic bodies and their numerical solution
zbMATH Open document ID: 0709.73071
author: Yu. Nikol's'kyj
author: Boris A. Galanov
published in: Moscow University Computational Mathematics and Cybernetics
publication date: 1990-01-01T00:00:00Z
review text: This paper is concerned with a unilateral boundary value problem which is intended to describe the deformation of an elastic beam in contact with an elastic half-space. The problem is reduced to a system of nonlinear boundary equations. Existence and uniqueness results are presented. The solution is approximated by the Newton-Kantorovich method. Numerical results and diagrams are presented.
Mathematics Subject Classification ID: 74A55
Mathematics Subject Classification ID: 74M15
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 74E30
Mathematics Subject Classification ID: 74B05
Mathematics Subject Classification ID: 34B15
zbMATH DE Number: 4167193
zbMATH Keywords: superposition operator
zbMATH Keywords: Newton-Kantorovich method
zbMATH Keywords: unilateral boundary value problem
zbMATH Keywords: elastic beam
zbMATH Keywords: elastic half-space
zbMATH Keywords: system of nonlinear boundary equations
zbMATH Keywords: Existence
zbMATH Keywords: uniqueness
reviewed by: D. Ieşan
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 4167193