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TECHNICAL PAPERS

Survey and Performance Assessment of Solution Methods for Elastic Rough Contact Problems

[+] Author and Article Information
Julian Allwood

Institute for Manufacturing, Department of Engineering, University of Cambridge, Mill Lane, Cambridge CB2 1RX, United Kingdom

J. Tribol 127(1), 10-23 (Feb 07, 2005) (14 pages) doi:10.1115/1.1828073 History: Received December 19, 2003; Revised September 03, 2004; Online February 07, 2005
Copyright © 2005 by ASME
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References

Figures

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Definition of notation used in describing the model of rough contact
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Flow chart for Kalker’s CONTACT algorithm
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Performance of iterative schemes in solving Eq. (1b)
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Flow chart for the method of Sec. 3.1—active set with Cholesky factorization
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Flow chart for the method of Sec. 3.2—active set with conjugate gradient solver
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Flow chart for the method of Sec. 3.3—multigrid integration with conjugate gradient solver
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Relative error in displacement prediction by MLMS multiplication for a 51×51 grid
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Percentage error in predicting (a) contact area and (b) peak pressure
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Memory requirements against (a) problem size and (b) contact area size
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Flop-rates for Matlab implementations of algorithms compared to an ideal
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Execution time against contact area size

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