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Contact problems for a wedge with rounded apex

Contact problems for a wedge with rounded apex
Contact problems for a wedge with rounded apex
Elastic contact between a shallow elastic wedge, whose apex is blunted by a finite radius, and an elastically similar half-plane is studied. A closed-form contact law is found, and the interior stress field is then deduced using a Muskhelishvili's solution in series form, for frictionless and sliding conditions. This geometry removes one of the principal objections to classical solutions to the wedge indentation problem--the unrealistic infinite stress concentration implied by an atomically sharp apex--and in the latter part of the paper the strength of the contact is evaluated explicitly. Further, cases of partial slip associated with the application of tangential load less than needed to cause sliding are considered.
contact stresses, fretting fatigue pads, asperity contacts
0020-7403
977-988
Ciavarella, M.
d5aa6350-b3d4-4a78-a670-9d78242f58c5
Hills, D.A.
d7ac6eb1-a16e-4a2c-b3ff-86e82cfbf3d6
Monno, G.
2ed35922-2947-46b7-9633-9cfd1c9fbe07
Ciavarella, M.
d5aa6350-b3d4-4a78-a670-9d78242f58c5
Hills, D.A.
d7ac6eb1-a16e-4a2c-b3ff-86e82cfbf3d6
Monno, G.
2ed35922-2947-46b7-9633-9cfd1c9fbe07

Ciavarella, M., Hills, D.A. and Monno, G. (1998) Contact problems for a wedge with rounded apex. International Journal of Mechanical Sciences, 40 (10), 977-988. (doi:10.1016/S0020-7403(97)00141-0).

Record type: Article

Abstract

Elastic contact between a shallow elastic wedge, whose apex is blunted by a finite radius, and an elastically similar half-plane is studied. A closed-form contact law is found, and the interior stress field is then deduced using a Muskhelishvili's solution in series form, for frictionless and sliding conditions. This geometry removes one of the principal objections to classical solutions to the wedge indentation problem--the unrealistic infinite stress concentration implied by an atomically sharp apex--and in the latter part of the paper the strength of the contact is evaluated explicitly. Further, cases of partial slip associated with the application of tangential load less than needed to cause sliding are considered.

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Published date: 1998
Keywords: contact stresses, fretting fatigue pads, asperity contacts

Identifiers

Local EPrints ID: 23252
URI: http://eprints.soton.ac.uk/id/eprint/23252
ISSN: 0020-7403
PURE UUID: 6d78025b-5a6d-47d7-8701-37b715386690

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Date deposited: 01 Feb 2007
Last modified: 15 Mar 2024 06:45

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Contributors

Author: M. Ciavarella
Author: D.A. Hills
Author: G. Monno

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