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Solution of half-plane contact problems by distributing climb dislocations

Abstract:
We derive a novel method for addressing half-plane contact problems by using distributions of climb dislocations over the contact patch to balance the relative overlapping profile of the contacting bodies. Using this technique, we are able to forgo inverting a singular integral equation, simplifying the analysis. We illustrate the method by deriving the associated contact pressures, external forces and applied moments for several examples of both symmetric and non-symmetric indenters.
Publication status:
Published
Peer review status:
Peer reviewed
Version:
Accepted Manuscript

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Publisher copy:
10.1016/j.ijsolstr.2018.04.017

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Institution:
University of Oxford
Division:
MPLS Division
Department:
Mathematical Institute
Oxford college:
Lincoln
More by this author
Institution:
University of Oxford
Division:
MPLS Division
Department:
Engineering Science
Publisher:
Elsevier Publisher's website
Journal:
International Journal of Solids and Structures Journal website
Volume:
147
Pages:
61-66
Publication date:
2018-04-27
Acceptance date:
2018-04-23
DOI:
ISSN:
0020-7683
Pubs id:
pubs:844937
URN:
uri:07da1f70-13ce-4134-be1c-d3ec8a6747a4
UUID:
uuid:07da1f70-13ce-4134-be1c-d3ec8a6747a4
Local pid:
pubs:844937

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