Solution of half-plane contact problems by distributing climb dislocations. (15th August 2018)

• Record Type: Journal Article
• Authors: Moore, M.R.; Hills, D.A.
• Is Part Of: International journal of solids and structures. Volume 147(2018)
• Page Start: 61
• Page End: 66
• Publication Date: 2018-08-15
• Subjects: Contact problems -- Dislocations -- Singular integral equations; Mechanics, Applied -- Periodicals; Structural analysis (Engineering) -- Periodicals; Elastic solids -- Periodicals; Mécanique appliquée -- Périodiques; Constructions, Théorie des -- Périodiques; Solides élastiques -- Périodiques; Elastic solids; Mechanics, Applied; Structural analysis (Engineering); Periodicals; 624.18
• DOI: 10.1016/j.ijsolstr.2018.04.017
• Languages: English
• ISSNs: 0020-7683

Abstract

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.