Segond, D.

Tafreshi, A.

This paper presents a technique based on the boundary element method [1] to analyse three-dimensional contact problems. The formulation is implemented for the frictionless and infinite friction conditions. Following a review of the basic nature of contact problems, the analytical basis of the direct formulation of the boundary element method is described. The numerical implementation employs linear triangular elements for the representation of the boundary and variables of the bodies in contact. Opposite nodal points in similar element pairs are defined on the two surfaces in the area which are expected to come into contact under the increasing load. The use of appropriate contact conditions enables the integral equations for the two bodies to be coupled together. Following an iteration procedure, the size of the contact zone is determined by finding a boundary solution compatible with the contact conditions. Different examples have been analysed in order to verify the applicability of the proposed method to various contact situations. The results have been compared with those obtained using the finite element method in conjunction with the ABAQUS [2] and IDEAS [3] packages which are shown to be in good agreement. © 1998 Elsevier Science Ltd. All rights reserved

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The University of Manchester ResearchStress analysis of three-dimensional contact problemsusing the boundary element methodDOI:10.1016/S0955-7997(98)00050-2Document VersionAccepted author manuscriptLink to publication record in Manchester Research ExplorerCitation for published version (APA):Segond, D., & Tafreshi, A. (1998). Stress analysis of three-dimensional contact problems using the boundaryelement method. Engineering Analysis with Boundary Elements, 22(3), 199-214. https://doi.org/10.1016/S0955-7997(98)00050-2Published in:Engineering Analysis with Boundary ElementsCiting this paperPlease note that where the full-text provided on Manchester Research Explorer is the Author Accepted Manuscriptor Proof version this may differ from the final Published version. If citing, it is advised that you check and use thepublisher's definitive version.General rightsCopyright and moral rights for the publications made accessible in the Research Explorer are retained by theauthors and/or other copyright owners and it is a condition of accessing publications that users recognise andabide by the legal requirements associated with these rights.Takedown policyIf you believe that this document breaches copyright please refer to the University of Manchester’s TakedownProcedures [http://man.ac.uk/04Y6Bo] or contact uml.scholarlycommunications@manchester.ac.uk providingrelevant details, so we can investigate your claim.Download date:22. Nov. 2022

Stress analysis of three-dimensional contact problems using the boundary element method

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