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TECHNICAL BRIEFS

Comparison of FFT-MLMI for Elastic Deformation Calculations

[+] Author and Article Information
F. Colin

Laboratoire de Mécanique des Contacts, UMR CNRS 5514, INSA de Lyon, FranceUniversité Claude Bernard Lyon 1, France

A. A. Lubrecht

Laboratoire de Mécanique des Contacts, UMR CNRS 5514, INSA de Lyon, France

J. Tribol 123(4), 884-887 (Jun 29, 2000) (4 pages) doi:10.1115/1.1340631 History: Received March 23, 2000; Revised June 29, 2000

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References

Bell Labs Innovations: http://cm.bell-labs.com/netlib/fftpack.
Cooley,  J. M., and Tukey,  J. W., 1965, “An Algorithm for the Machine Calculation of Complex Fourier Series,” Math. Comput., 19, pp. 297–301.
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Johnson, K. L., 1985, Contact Mechanics, Cambridge University Press, Cambridge, United Kingdom.
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Ling, F. F., 1973, Surface Mechanics, ISBN 0-471-53905-8, Wiley, New York.
Brandt,  A., and Lubrecht,  A. A., 1990, “Multilevel Matrix Multiplication and Fast Solution of Integral Equations,” J. Comput. Phys., 90, No. 2, pp. 348–370.
Lubrecht,  A. A., and Ioannides,  E., 1996, “A Fast Solution of the Dry Contact Problem and the Associated Sub-surface Stress Field, Using Multilevel Techniques,” ASME J. Tribol., 113, pp. 128–132.
Newland, D. E., 1993, An Introduction to Random Vibrations, Spectral and Wavelet Analysis, ISBN 0-582-21584-6, Addison-Wesley, Reading, MA.
Polonsky,  I. A., and Keer,  L. M., 2000, “A Fast and Accurate Method for Numerical Analysis of Elastic Layered Contacts,” ASME J. Tribol., 122, pp. 30–35.
Polonsky,  I. A., and Keer,  L. M., 2000, “Fast Methods for Solving Rough Contact Problems: A Comparative Study,” ASME J. Tribol., 122, pp. 36–41.
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Stanley,  H. M., and Kato,  T., 1997, “An FFT-Based method for Rough Surface Contact,” ASME J. Tribol., 119, pp. 481–485.
Venner, C. H., “Multilevel Solution of the EHL Line and Point Contact Problems,” Ph.D. thesis, University of Twente, Enschede, The Netherlands.
Venner, C. H., and Lubrecht, A. A., 2000, MultiLevel Methods in Lubrication, ISBN 0-444-50503-2, Elsevier, New York.
Westergaard,  H. M., 1939, “Bearing Pressures and Cracks,” ASME J. Appl. Mech., 6, pp. A49–A53.

Figures

Grahic Jump Location
Calculation domain; spoiling effect at the domain extremities
Grahic Jump Location
One-dimensional problem
Grahic Jump Location
Two-dimensional problem

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