A Useful Solution for Estimating Contact Pressure Between a Plate and Foundation

[+] Author and Article Information
L. B. Shulkin, D. A. Mendelsohn, G. L. Kinzel, T. Altan

Ohio State University, Columbus, OH 43210-1181

J. Manuf. Sci. Eng 122(4), 781-789 (Oct 01, 1999) (9 pages) doi:10.1115/1.1286167 History: Received January 01, 1997; Revised October 01, 1999
Copyright © 2000 by ASME
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Axisymmetric load on an infinite layer supported by a Winkler foundation. Origin of the (r,z) coordinate system is at the center of the loading circle of radius c.
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Possible contact pressure distributions on the boundary of an elastic half-space: a) uniform pressure, b) uniform displacement [see Eqs. (9) and (11) for expressions for p(r)]
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Evaluation of the integral function σzz(r,z): integration strategy
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Validation of analytical solution: test loading case of a) elastic half-space and b) infinite elastic layer supported by a Winkler foundation
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Validation of analytical solution: σzz stress comparison
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Axisymmetric FEM model to study the contact pressure distribution
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Comparison of FEM and analytical pressure curves: between the layer and the foundation a) h=0.0127 m,b) h=0.0254 m,c) h=0.0508 m, and d) between the cylinder and the layer, h=0.0127 m
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Parametric study: force on the cylinder P
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Parametric study: layer material properties
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Parametric study: radius of the cylinder c
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Parametric study: foundation stiffness k
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Parametric study: thickness of the layer h
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Parametric study: comparison of pressure between the cylinder and the layer p(r) for the uniform pressure and rigid indenter cases



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