On the nonlinear boundary equations of the mechanics of the contact of rough elastic bodies
type: Item
instance of: scholarly article
title: On the nonlinear boundary equations of the mechanics of the contact of rough elastic bodies
zbMATH Open document ID: 0654.73057
DOI: 10.1016/0021-8928(86)90132-2
published in: Journal of Applied Mathematics and Mechanics
publication date: 1986-01-01T00:00:00Z
review text: As a generalization of the author's results [ibid. 48, 1020-1029 (1984; Zbl 0589.73099)], the existence and uniqueness of the solution of the contact problem of several rough elastic bodies (with the example of the contact of three bodies) is proved. The method of nonlinear boundary equations is used, which (like the variational method) enables an effective investigation to be made of the correctness of the problem of body contact with unknown contact domains.
Mathematics Subject Classification ID: 74A55
Mathematics Subject Classification ID: 74M15
Mathematics Subject Classification ID: 45L05
Mathematics Subject Classification ID: 74G30
Mathematics Subject Classification ID: 74H25
Mathematics Subject Classification ID: 45G10
Mathematics Subject Classification ID: 47J25
zbMATH DE Number: 4068426
zbMATH Keywords: system of Hammerstein equations
author: Boris A. Galanov
MaRDI profile type: Publication
full work available at URL: 0021-8928(86)90132-2
OpenAlex ID: W2064167204
cites work: Spatial contact problems for rough elastic bodies under elastoplastic deformations of the unevenness
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cites work: Existence Theorems in Linear and Semi-Linear Elasticity
cites work: Formulation of the problem of contact between several deformable bodies as a nonlinear programming problem
cites work: Q4157538
cites work: Q5589673
description: scientific article; zbMATH DE number 4068426