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Research Papers

Friction Effects on the Edge-of-Contact Stresses for Sliding Contact Between a Flat Punch With Rounded Corners and a Half Space

[+] Author and Article Information
G. B. Sinclair

Department of Mechanical Engineering,
Louisiana State University,
Baton Rouge, LA 70803
e-mail: sinclair@lsu.edu

Contributed by the Applied Mechanics Division of ASME for publication in the JOURNAL OF APPLIED MECHANICS. Manuscript received August 2, 2017; final manuscript received September 19, 2017; published online October 4, 2017. Assoc. Editor: Shaoxing Qu.

J. Appl. Mech 84(12), 121002 (Oct 04, 2017) (8 pages) Paper No: JAM-17-1418; doi: 10.1115/1.4037968 History: Received August 02, 2017; Revised September 19, 2017

For the title problem, the punch is assumed to be pressed vertically into the horizontal upper surface of the half space, then slide horizontally sideways. A range of such configurations is identified that permit Shtaerman’s solution for the contact pressure for a rigid frictionless punch to be modified so that it applies to a deformable punch and also yields the contact stresses when the punch slides in the presence of friction. Closed-form expressions are obtained for the peak edge-of-contact stresses. These edge-of-contact stresses can fluctuate significantly with even modest amounts of sliding.

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References

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Sinclair, G. B. , 2016, “Contact Stresses Induced by a Rigid Flat Punch Sliding With Friction Across an Incompressible Elastic Half Space,” Louisiana State University, Baton Rouge, LA, Report No. ME-MS3-16.
Sinclair, G. B. , 2016, “Asymptotic Analysis of the Edge-of-Contact Stresses Attending Conforming Contact in the Presence of Friction of an Elastic Punch With an Elastic Half-Plane,” Louisiana State University, Baton Rouge, LA, Report No. ME-MS2-16.

Figures

Grahic Jump Location
Fig. 1

Sliding punch on a half space: (a) contact configuration and coordinates, (b) edge-of-contact stresses for a surface element in the half space, and (c) sample contact stress distribution (---σS/p)

Grahic Jump Location
Fig. 2

Auxiliary local coordinates

Grahic Jump Location
Fig. 3

Hoop stress distribution in the half-space surface when re/L=7/52, p/μc=3.61×10−3, f = 0.4: (a) for x > 0 near C, and (b) for x < 0 near C′(x¯=(x+xmax)/δ)

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