On the unloading process for contact interaction
type: Item
instance of: scholarly article
title: On the unloading process for contact interaction
zbMATH Open document ID: 0599.73113
DOI: 10.1016/0021-8928(85)90033-4
author: V. I. Kuz'menko
published in: Journal of Applied Mathematics and Mechanics
publication date: 1985-01-01T00:00:00Z
review text: The unloading process in a body under the action of a stamp is investigated. It is assumed that the unloading occurs at all points of the body. The contact area between the body and the stamp can change during the unloading; consequently, the unloading problem during contact interaction is nonlinear. A generalization to the case of contact problems is proposed for the theorem of unloading. A variational principle is obtained in the unloading displacements, and the existence and uniqueness of the solution of the unloading problem are investigated. The unloading process is examined in an elastic-plastic half-space on which a stamp of circular planform acts. The change in the contact area and in the contact stresses during unloading is studied, and the shape of the residual impression is obtained. The problem is investigated by using the Galin solution of the action of a circular stamp and a load applied outside the stamp on an elastic half-space. Numerical methods of solving contact problems with unloading are also examined; an example is presented for the numerical solution of the problem of plane deformation in the compression of a strip by two stamps with subsequent unloading.
Mathematics Subject Classification ID: 74A55
Mathematics Subject Classification ID: 74M15
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 74G30
Mathematics Subject Classification ID: 74H25
Mathematics Subject Classification ID: 74B99
Mathematics Subject Classification ID: 74H99
zbMATH DE Number: 3968090
zbMATH Keywords: unloading process
zbMATH Keywords: contact interaction
zbMATH Keywords: nonlinear
zbMATH Keywords: variational principle
zbMATH Keywords: elastic-plastic half-space
zbMATH Keywords: stamp of circular planform
zbMATH Keywords: Galin solution
zbMATH Keywords: Numerical methods
MaRDI profile type: Publication
full work available at URL: 0021-8928(85)90033-4
OpenAlex ID: W1972073760
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description: scientific article; zbMATH DE number 3968090