Spatial contact problems for rough elastic bodies under elastoplastic deformations of the unevenness
type: Item
instance of: scholarly article
title: Spatial contact problems for rough elastic bodies under elastoplastic deformations of the unevenness
zbMATH Open document ID: 0589.73099
DOI: 10.1016/0021-8928(84)90045-5
published in: Journal of Applied Mathematics and Mechanics
publication date: 1984-01-01T00:00:00Z
review text: A model is constructed for the contact between a rigid stamp and a rough body taking elastoplastic deformations of the unevenness into account. The contact model for rough bodies with elastic deformations of the unevenness is a special case. A classical approach utilizing boundary integral equations is applied in the mathematical formulation of the contact problem. Under quite general assumptions (for instance, the multiconnectedness of the contact domain desired), the uniqueness and existence of the solution are investigated. A method is developed to determine the contact pressure, the closure of the bodies, and also the contact area which consists of two parts in the general case, a zone of elastoplastic deformation of the unevenness and a zone of their elastic deformation. The efficiency of the method is shown in examples of new contact problems. The solution is represented in a convenient form for analysing the influence of roughness. This is of considerable value for material testing by a contact method.
Mathematics Subject Classification ID: 74A55
Mathematics Subject Classification ID: 74M15
Mathematics Subject Classification ID: 74C99
Mathematics Subject Classification ID: 74G30
Mathematics Subject Classification ID: 74H25
zbMATH DE Number: 3947790
zbMATH Keywords: elastoplastic deformations of unevenness
zbMATH Keywords: rigid stamp
zbMATH Keywords: rough body
zbMATH Keywords: boundary integral equations
zbMATH Keywords: existence
zbMATH Keywords: contact pressure
zbMATH Keywords: closure of the bodies
zbMATH Keywords: contact area
zbMATH Keywords: elastic deformation
zbMATH Keywords: influence of roughness
author: Boris A. Galanov
MaRDI profile type: Publication
full work available at URL: 0021-8928(84)90045-5
OpenAlex ID: W1993327149
cites work: Q4743891
cites work: Plane and axisymmetric contact problems for rough elastic bodies
cites work: Q3218622
cites work: Q5544938
cites work: Q3669011
description: scientific article; zbMATH DE number 3947790