Partial Plane Contact of an Elastic Curved Beam Pressed by a Flat Surface
Autor: | Leon M. Keer, Joseph M. Block |
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Rok vydání: | 2006 |
Předmět: |
Timoshenko beam theory
Materials science Michell solution business.industry Plane (geometry) Mechanical Engineering Surfaces and Interfaces Mechanics Curvature Surfaces Coatings and Films Contact mechanics Optics Mechanics of Materials Euler–Bernoulli beam theory business Beam (structure) Plane stress |
Zdroj: | Journal of Tribology. 129:60-64 |
ISSN: | 1528-8897 0742-4787 |
DOI: | 10.1115/1.2401212 |
Popis: | 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. |
Databáze: | OpenAIRE |
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