Fast Fourier transform based numerical methods for elasto-plastic contacts of nominally flat surfaces

Journal of Applied Mechanics, Transactions ASME

Volumn 75, Issue 1, 2008, Pages 0110221-01102211

  Chen, W Wayne ^a   Liu, Shuangbiao ^b   Wang, Q Jane ^a  

^a Northwestern University   (United States)

^b CATERPILLAR INC   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANALYTICAL SOLUTIONS; ASPERITY INTERACTIONS; DISCRETE CONVOLUTION; ELASTO PLASTIC; ELASTO PLASTIC SOLIDS; ELASTO-PLASTIC CONTACT; ELASTO-PLASTIC MODELS; EXPANDABILITY; FLAT SURFACES; FOURIER; FREQUENCY-RESPONSE FUNCTIONS (FRFS); NUMERICA L RESULTS; RESIDUAL DISPLACEMENT; ROUGH SURFACES; STRAIN FIELDS; SUBSURFACE STRESSES; THREE DIMENSIONAL (3D); TWO-DIMENSIONAL (2D); WAVY SURFACES;

CONSTITUTIVE MODELS; CONTACTS (FLUID MECHANICS); CONVOLUTION; ELASTOPLASTICITY; FAST FOURIER TRANSFORMS; FREQUENCY RESPONSE; FUNCTIONS; MACHINE VIBRATIONS; MATHEMATICAL TRANSFORMATIONS; NUMERICAL METHODS; PLASTICS; SURFACE MEASUREMENT; SURFACE TOPOGRAPHY; THREE DIMENSIONAL; TWO DIMENSIONAL;

FOURIER TRANSFORMS;

EID: 47149103867     PISSN: 00218936     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.2755158     Document Type: Article

References (27)

1. Epstein, D., Keer, L. M., Wang, Q., and Cheng, H. S., 2003, "Effect of Surface Topography on Contact Fatigue in Mixed Lubrication," Tribol. Trans., 46(4), pp. 506-513.
2. Polonsky, I.A., and Keer, L. M., 2001, "Stress Analysis of Layered Elastic Solids With Cracks Using the Fast Fourier Transform and Conjugate Gradient Techniques," ASME J. Appl. Mech., 68, pp. 708-714.
3. Johnson, K. L., 1995, "Contact Mechanics and the Wear of Metals," Wear, 190, pp. 162-170.
4. Arnell, R. D., Davies, P. B., Halling, J., and Whomes, T. L., 1991, Tribology, Principles and Design Applications, Springer-Verlag, New York.
5. Greenwood, J. A., and Williamson, J. B. P., 1966, "Contact of Nominally Flat Surfaces," Proc. R. Soc. London, Ser. A, 295, pp. 300-319.
6. Chang, W. R., Etsion, I., and Bogy, D. B., 1987, "Elastic Plastic Model for the Contact of Rough Surfaces," ASME J. Tribol., 109, pp. 257-263.
7. Bhushan, B., 1998, "Contact Mechanics of Rough Surfaces in Tribology: Multiple Asperity Contact," Tribol. Lett., 4, pp. 1-35.
8. Tripp, J. H., Kuilenburg, J. V., Morales-Espejel, G. E., and Lugt, P. M., 2003, "Frequency Response Functions and Rough Surface Stress Analysis," Tribol. Trans., 46(3), pp. 376-382.
9. Westergaard, H. M., 1939, "Bearing Pressures and Cracks," ASME J. Appl. Mech., 6, pp. 49-53.
10. Dunders, J., Tsai, K. C., and Keer, L. M., 1973, "Contact Between Elastic Bodies With Wavy Surfaces," J. Elast., 3, pp. 109-115.
11. Johnson, K. L., Greenwood, J. A., and Higginson, J. G., 1985, "The Contact of Elastic Regular Wavy Surfaces," Int. J. Mech. Sci., 27, pp. 383-396.
12. Gao, Y. F., Bower, A. F., Kim, K.-S., Lev, L., and Cheng, Y. T., 2006, "The Behavior of an Elastic-Perfectly Plastic Sinusoidal Surface Under Contact Loading," Wear, 261(2), pp. 145-154.
13. Kim, T. W., Bhushan, B., and Cho, Y. J., 2006, "The Contact Behavior of Elastic/Plastic Non-Gaussian Rough Surfaces," Tribol. Lett., 22(1), pp. 1-13.
14. Ju, Y., and Farris, T. N., 1996, "Spectral Analysis of Two-Dimensional Contact Problems," ASME J. Tribol., 118, pp. 320-328.
15. Lee, S. C., and Ren, N., 1996, "Behavior of Elastic-Plastic Rough Surface Contacts as Affected by the Surface Topography, Load and Material," STLE Tribol. Trans., 39, pp. 67-74.
16. Liu, S. B., Wang, Q., and Liu, G., 2000, "A Versatile Method of Discrete Convolution and FFT (DC-FFT) for Contact Analyses," Wear, 243, pp. 101-111.
17. Liu, S. B., and Wang, Q., 2002, "Study Contact Stress Fields Caused by Surface Tractions With a Discrete Convolution and Fast Fourier Transform Algorithm," ASME J. Tribol., 124, pp. 36-45.
18. Liu, S. B., Hua, D., Chen, W. W., and Wang, Q., 2007, "Tribological Modeling: Application of Fast Fourier Transform," Tribol. Int. 40, pp. 1284-1293.
19. Wang, Q., Zhu, D., Yu, T., Cheng, H. S., Jiang, J., and Liu, S. B., 2004, "Mixed Lubrication Analyses by a Micro-Macro Approach and a Full-Scale Micro EHL Model," ASME J. Tribol., 126, pp. 81-91.
20. Jacq, C., Nelias, D., Lormand, G., and Girodin, D., 2002, "Development of a Three-Dimensional Semi-Analytical Elastic-Plastic Contact Code," ASME J. Tribol., 124, pp. 653-667.
21. Boucly, V., Nelias, D., Liu, S. B., Wang, Q., and Keer, L. M., 2005, "Contact Analyses for Bodies With Frictional Heating and Plastic Behavior," ASME J. Tribol., 127, pp. 355-364.
22. Wang, E, and Keer, L. M., 2005, "Numerical Simulation for Three Dimensional Elastic-Plastic Contact With Hardening Behavior," ASME J. Tribol., 127, pp. 494-502.
23. Polonsky, I. A., and Keer, L. M., 1999, "A Numerical Method for Solving Rough Contact Problems Based on Multi-Level Multi-Summation and Conjugate Gradient Techniques," Wear, 231, pp. 206-219.
24. Johnson, K. L., 1985, Contact Mechanics, Cambridge University Press, Cambridge, England.
25. Liu, S. B., and Wang, Q., 2001, "A Three-Dimensional Thermomechanical Model of Contact Between Non-Conforming Rough Surfaces," ASME J. Tribol., 123, pp. 17-26.
26. Brigham, E. O., 1974, The Fast Fourier Transform, Prentice-Hall, Englewood Cliffs, NJ.
27. Liu, S. B., and Wang, Q., 2005, "Elastic Fields Due to Eigenstrains in a Half-Space," ASME J. Appl. Mech., 72, pp. 871-878.