This paper presents a three-dimensional numerical elasto-plastic model for the contact of nominally flat surfaces based on the periodic expandability of surface topography. This model is built on two algorithms: the continuous convolution and Fourier transform (CC-FT) and discrete convolution and fast Fourier transform (DC-FFT), modified with duplicated padding. This model considers the effect of asperity interactions and gives a detailed description of subsurface stress and strain fields caused by the contact of elasto-plastic solids with rough surfaces. Formulas of the frequency response functions (FRF) for elastic/plastic stresses and residual displacement are given in this paper. The model is verified by comparing the numerical results to several analytical solutions. The model is utilized to simulate the contacts involving a two-dimensional wavy surface and an engineering rough surface in order to examine its capability of evaluating the elasto-plastic contact behaviors of nominally flat surfaces.
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January 2008
Research Papers
Fast Fourier Transform Based Numerical Methods for Elasto-Plastic Contacts of Nominally Flat Surfaces
W. Wayne Chen,
W. Wayne Chen
Department of Mechanical Engineering,
Northwestern University
, Evanston, IL 60208
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Shuangbiao Liu,
Shuangbiao Liu
Technology and Solutions Division, E854,
Caterpillar Inc.
, Peoria, IL 61656-1875
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Q. Jane Wang
Q. Jane Wang
Department of Mechanical Engineering,
Northwestern University
, Evanston, IL 60208
Search for other works by this author on:
W. Wayne Chen
Department of Mechanical Engineering,
Northwestern University
, Evanston, IL 60208
Shuangbiao Liu
Technology and Solutions Division, E854,
Caterpillar Inc.
, Peoria, IL 61656-1875
Q. Jane Wang
Department of Mechanical Engineering,
Northwestern University
, Evanston, IL 60208J. Appl. Mech. Jan 2008, 75(1): 011022 (11 pages)
Published Online: February 15, 2008
Article history
Received:
December 4, 2006
Revised:
May 14, 2007
Published:
February 15, 2008
Citation
Chen, W. W., Liu, S., and Wang, Q. J. (February 15, 2008). "Fast Fourier Transform Based Numerical Methods for Elasto-Plastic Contacts of Nominally Flat Surfaces." ASME. J. Appl. Mech. January 2008; 75(1): 011022. https://doi.org/10.1115/1.2755158
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