Multiple region contact solutions for a flat indenter on a layered elastic half space: plane-strain case

T. W. Shield, D. B. Bogy

Research output: Contribution to journalArticlepeer-review

17 Scopus citations

Abstract

The plane-strain problem of a smooth, flat rigid indenter contacting a layered elastic half space is examined. It is mathematically formulated using integral transforms to derive a singular integral equation for the contact pressure, which is solved by expansion in orthogonal polynomials. The solution predicts complete contact between the indenter and the surface of the layered half space only for a restricted range of the material and geometrical parameters. Outside of this range, solutions exist with two or three contact regions. The parameter space divisions between the one, two or three contact region solutions depend on the material and geometrical parameters and they are found for both the one and two layer cases.

Original languageEnglish (US)
Pages (from-to)251-262
Number of pages12
JournalJournal of Applied Mechanics, Transactions ASME
Volume56
Issue number2
DOIs
StatePublished - Jun 1989
EventJoint ASCE/ASME Applied Mechanics, Biomechanics, and Fluids Engineering Conference - San Diego, CA, USA
Duration: Jul 9 1989Jul 12 1989

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