Analysis of contact between transversely isotropic coated surfaces: Development of stress and displacement relationships using FEM

Wear

Volumn 214, Issue 2, 1998, Pages 165-174

  Lovell, Michael ^a  

^a UNIVERSITY OF KENTUCKY   (United States)

Author keywords

Compliance behavior; Finite element method; Hertzian contact; Numerical simulation; Surface coatings; Transverse isotropy

Indexed keywords

ANISOTROPY; COATINGS; COMPUTER SIMULATION; CURVE FITTING; CYLINDERS (SHAPES); ELASTICITY; FINITE ELEMENT METHOD; INTERFACES (MATERIALS); MATHEMATICAL MODELS; STRESSES;

HERTZIAN CONTACT THEORY;

SURFACES;

EID: 0032003799     PISSN: 00431648     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0043-1648(97)00240-8     Document Type: Article

References (32)

1. J.R. Willis, Hertzian contact of anisotropic bodies, J. Mech. Phys. Solids 14 (1966) 163-176.
2. H.D. Conway, K.A. Farnham, T.C. Ku, The indentation of a transversely isotropic half-space by a rigid sphere. ASME J. Appl. Mechanics, June (1967) pp. 491-492.
3. W.T. Chen, Stresses in some anisotropic materials due to indentation and sliding, Int. J. Eng. Sci. 9 (1969) 775-800.
4. J.R. Turner, Contact on a transversely isotropic half-space, or between transversely isotropic bodies, Int. J. Solid Struct. 16 (1980) 409-419.
5. K.L. Keer, D.B. Mowry, The stress field created by a circular sliding contact on transversely isotropic spheres, Int. J. Solid Struct. 15 (1979) 33-39.
6. W. Lin, C.H. Kuo, L.M. Keer, Analysis of a transversely isotropic half space under normal and tangential loadings, ASME J. Tribol. 113 (1991) 335-338.
7. M.T. Hanson, The elastic field for conical indentation including sliding friction for transverse isotropy, ASME J. Appl. Mechanics 59 (1992) 123-130.
8. M.T. Hanson, The elastic field for spherical hertzian contact including sliding friction for transverse isotropy, ASME J. Tribol. 115 (1993) 327-332.
9. D.M. Burmister, The general theory of stresses and displacements in layered systems, J. Appl. Phys. 16 (1945) 89-94.
10. Y.C. Pao, T.S. Wu, Y.P. Chiu, Bounds on the maximum contact stress of an elastic layer, Trans. ASME, Ser. E, J. Appl. Mechanics 38 (1971) 608.
11. P. Meijers, The contact problem of a rigid cylinder on an elastic layer, Appl. Sci. Res. 18 (1968) 353.
12. J.B. Alblas, M. Kuipers, On the two-dimensional problem of a cylindrical stamp on an elastic half-space in the presence of adhesion, Acta Mechanica 9 (1970) 292.
13. W.T. Chen, Computation of stresses and displacements in a layered elastic media, Int. J. Solid Struct. 5 (1971) 191-214.
14. W.T. Chen, P.A. Engel, Impact and contact stress analysis of multilayer media, Int. J. Solid Struct. 8 (1972) 1257-1281.
15. H. Butler, Theory of elasticity of a multi-layered body, J. Elasticity 2 (1971) 125-143.
16. P.K. Gupta, J.A. Walowit, Contact stresses between an elastic cylinder and a layered elastic solid, ASME J. Lubrication Technol. 94 (1974) 250-274.
17. P.K. Gupta, J.A. Walowit, E.F. Finkin, Stress distributions in plain strain layered elastic solids subject to arbitrary boundary loading, ASME J. Lubrication Technol. 93 (1973) 427.
18. Y.P. Chiu, M.J. Hartnett, A numerical solution for layered solid contact problems with application to bearings, J. Lubrication Technol. 105 (1983) 585-590.
19. K.L. Johnson, Contact Mechanics, Cambridge Univ. Press, Cambridge, 1985, pp. 136-141.
20. R.B. King, T.C. OSullivan, Sliding contact stresses in a two-dimensional layered elastic half-space, Int. J. Solids Struct. 23 (1987) 581-597.
21. T.C. OSullivan, R.B. King, Sliding contact stress field due to a spherical indentor on a layered elastic half-space, ASME J. Tribol. 110 (1988) 235-240.
22. S.J. Cole, R.S. Sayles, A numerical model for the contact of layered elastic bodies with real rough surfaces, ASME J. Tribol. 114 (1992) 334-340.
23. C.H. Kuo, L.M. Keer, Contact stress analysis of a layered transversely isotropic half space, ASME J. Tribol. 114 (1992) 253-262.
24. T.C. Ovaert, On the indentation of a transversely isotropic half-space with application to thin solid lubricant films, Trans. ASME 115 (1993) 650-657.
25. V. Bhargava, G.T. Hahn, C.A. Rubin, An elastic-plastic finite element model of rolling contact, ASME J. Appl. Mechanics 52 (1985) 67-75.
26. K. Komvopoulos, Finite element analysis of a layered elastic solid in normal contact with arigid surface, ASME J. Tribol. 110 (1988) 477-485.
27. K. Komvopoulos, Elastic-plastic finite element analysis of indented layered media, ASME J. Tribol. 111 (1989) 430-439.
28. P.K. Gupta, J.A. Walowit, Modeling of Stresses In Coated Solids, SBIR Program Report No. F33615-89-C-5648, 1990, pp. 1-65.
29. 2 coated and uncoated surfaces, Wear 194 (1996) 60-70.
30. 2 coated ball bearings: a three-dimensional finite element analysis, ASME J. Tribol. 119 (1997) TBA .
31. M. Gardos, On the Elastic Constants of Thin Solid Lubricant Films, Mechanics of Coatings. Elsevier, Amsterdam, The Netherlands, 1990, pp. 3-13.
32. R.J. Roark, W.C. Young, Formulas For Stress and Strain, McGraw-Hill, New York, 1975, p. 517.