The normal contact of a frictionless, elastic curved beam indented by a flat, rigid surface is solved using a Michell–Fourier series expansion, which satisfies the mixed boundary value problem resulting from partial contact. When the contact region is small compared to the radius of curvature of the beam, semi-analytical solutions are obtained by exploiting dual series equation techniques. The relation between the level of loading and the extent of contact, as well as stress on the surface, are found for plane strain. The elasticity results extend Hertz line contact to finite thickness, curved beams. As the beam becomes thin, beam theory type behavior is recovered. The results may have application to finite-thickness wavy surfaces, cylindrical structures, or pressurized seals.
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e-mail: l-keer@northwestern.edu
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January 2007
Technical Papers
Partial Plane Contact of an Elastic Curved Beam Pressed by a Flat Surface
Joseph M. Block,
Joseph M. Block
Department of Mechanical Engineering,
Northwestern University
, 2145 Sheridan Road, Evanston, IL 60208
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Leon M. Keer
Leon M. Keer
Department of Mechanical Engineering,
e-mail: l-keer@northwestern.edu
Northwestern University
, 2145 Sheridan Road, Evanston, IL 60208
Search for other works by this author on:
Joseph M. Block
Department of Mechanical Engineering,
Northwestern University
, 2145 Sheridan Road, Evanston, IL 60208
Leon M. Keer
Department of Mechanical Engineering,
Northwestern University
, 2145 Sheridan Road, Evanston, IL 60208e-mail: l-keer@northwestern.edu
J. Tribol. Jan 2007, 129(1): 60-64 (5 pages)
Published Online: August 31, 2006
Article history
Received:
April 6, 2006
Revised:
August 31, 2006
Citation
Block, J. M., and Keer, L. M. (August 31, 2006). "Partial Plane Contact of an Elastic Curved Beam Pressed by a Flat Surface." ASME. J. Tribol. January 2007; 129(1): 60–64. https://doi.org/10.1115/1.2401212
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