Stress analysis of layered elastic solids with cracks using the fast Fourier transform and conjugate gradient techniques

Journal of Applied Mechanics, Transactions ASME

Volumn 68, Issue 5, 2001, Pages 708-714

  Polonsky, I A ^a   Keer, L M ^a  

^a Northwestern University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0010592429     PISSN: 00218936     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.1381394     Document Type: Article

References (35)

1. Schulz, H., and Quinto, D. T., 1999, "Technolgical Development of PVD Hard Coatings for Industry," Z. Metallkd., 90, pp. 831-836.
2. Suchentrunk, R., Fuesser, H. J., Staudigl, G., Jonke, D., and Meyer, M., 1999, "Plasma Surface Engineering - Innovative Processes and Coating Systems for High-Quality Products," Surf. Coat. Technol., 112, pp. 351-357.
3. Ju, Y., and Farris, T. N., 1996, "Spectral Analysis of Two-Dimensional Contact Problems," ASME J. Tribol., 118, pp. 320-328.
4. Polonsky, I. A., Chang, T. P., Keer, L. M., and Sproul, W. D., 1997, "An analysis of the Effect of Hard Coatings on Near-Surface Rolling Contact Fatigue Initiation Induced by Surface Roughness," Wear, 208, pp. 204-219.
5. Nogi, T., and Kato, T., 1997, "Influence on a Hard Surface Layer on the Limit of Elastic Contact - Part I: Analysis Using a Real Surface Model," ASME J. Tribol., 119, pp. 493-500.
6. 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.
7. Chen, W. T., and Engel, P. A., 1972, "Impact and Contact Stress Analysis in Multilayer Media," Int. J. Solids Struct., 8, pp. 1257-1281.
8. Chiu, Y. P., and Hartnett, M. J., 1983, "A Numerical Solution for Layered Solid Contact Problems With Applications to Bearings," ASME J. Lubr. Technol., 105, pp. 585-590.
9. Cole, S. J., and Sayles, R. S., 1992, "A Numerical Model for the Contact of Layered Elastic Bodies With Real Rough Surfaces," ASME J. Tribol., 114, pp. 334-340.
10. Kubo, A., Okamoto, T., and Kurokawa, N., 1981, "Contact Stress Between Rollers With Surface Irregularity," ASME J. Mech. Des., 103, pp. 492-498.
11. Francis, H. A., 1983, "The Accuracy of Plane Strain Models for the Elastic Contact of Three-Dimensional Rough Surface," Wear, 85, pp. 239-256.
12. Ren, N., and Lee, S. C., 1993, "Contact Simulation of Three-Dimensional Rough Surfaces Using Moving Grid Method," ASME J. Tribol., 115, pp. 597-601.
13. Polonsky, I. A., and Keer, L. M., 1999, "A Numerical Method for Solving Rough Contact Problems Based on the Multi-Level Multi-Summation and Conjugate Gradient Techniques," Wear, 231, pp. 206-219.
14. Ziegele, H., Rebholz, C., Voevodin, A. A., Leyland, A., Rohde, S. L., and Matthews, A., 1997 "Studies of the Tribological and Mechanical Properties of Laminated CrC-SiC Coatings Produced by rf and dc Sputtering," Tribol. Int., 30, pp. 845-856.
15. Polonsky, I. A., Chang, T. P., Keer, L. M., and Sproul, W. D., 1998, "A Study of Rolling Contact Fatigue of Bearing Steel Coated With PVD TiN Films: Coating Response to Cyclic Contact Stress and Physical Mechanisms Underlying Coating Effect on the Fatigue Life," Wear, 215, pp. 191-204.
16. Moulinec, H., and Suquet, P., 1994, "A Fast Numerical Method for Computing the Linear and Nonlinear Mechanical Properties of Composites," C. R. Acad. Sci., Ser. II: Mec., Phys., Chim., Sci. Terre Univers, 318, No. 2, pp. 1417-1423.
17. Moulinec, H., and Suquet, P., 1998, "A Numerical Method for Computing the Overall Response of Nonlinear Composites with Complex Microstructures" Comput. Methods Appl. Mech. Eng., 157, pp. 69-94.
18. Herrmann, K. P., Muller, W. H., and Neumann, S., 1999, "Linear and Elastic-Plastic Fracture Mechanics Revisited by use of Fourier Transforms - Theory and Application," Comput. Mater. Sci., 16, pp. 186-196.
19. Tian, H., and Saka, N. J., 1992, "Finite-Element Analysis of Interface Cracking in Sliding Contacts," Wear, 155, pp. 163-182.
20. Eberhardt, A. W, and Kim, B. S., 1998, "Crack Face Friction Effects on Mode II Stress Intensities for a Surface-Cracked Coating in Two-Dimensional Rolling Contact," Tribol. Trans., 41, pp. 35-42.
21. Souza, R. M., Mustoe, G. G. W., and Moore, J. J., 1999, "Finite-Element Modeling of the Stresses and Fracture During the Indentation of Hard Elastic Films on Elastic-Plastic Aluminum Substrates," Thin Solid Films, 356, pp. 303-310.
22. Lin, W., and Keer, L. M., 1989, "Analysis of a Vertical Crack in a Multilayered Medium," ASME J. Appl. Mech., 56, pp. 63-69.
23. Lin, W., and Keer, L. M., 1989, "Three-Dimensional Analysis of Cracks in Layered Transversely Isotropic Media," Proc. R. Soc. London, Ser. A, A424, pp. 307-322.
24. Kuo, C. H., and Keer, L. M., 1995, "Three-Dimensional Analysis of Cracking in a Multilayered Composite," ASME J. Appl. Mech., 62, pp. 273-281.
25. Mura, T., 1982, Micromechanics of Defects in Solids, Kluwer, Dordrecht.
26. Murakami, Y., and Nemat-Nasser, S., 1983, "Growth and Stability of Interacting Surface Flaws of Arbitrary Shape," Eng. Fract. Mech., 17, pp. 193-210.
27. Lee, J. C., Farris, T. M., and Keer, L. M., 1987, "Stress Intensity Factors for Cracks of Arbitrary Shape Near an Interfacial Boundary," Eng. Fract. Mech., 27, pp. 27-41.
28. Hanson, M. T., Lin, W., and Keer, L. M., 1989, "Three-Dimensional Analysis of Cracking Through the Boundary of a Two-Phase Material," ASME J. Appl. Mech., 56, pp. 850-857.
29. Mura, T., 1964, "Periodic Distributions of Dislocations," Proc. R. Soc. London, Ser. A, A280, pp. 528-544.
30. Chen, W. T., 1971, "Computation of Stresses and Displacements in a Layered Elastic Medium," Int. J. Eng. Sci., 9, pp. 775-800.
31. Gilbert, F., and Backus, G., 1966, "Propagator Matrices in Elastic Wave and Vibration Problems," Geophysics, 31, pp. 326-332.
32. Pan, E., 1991, "An Exact Solution for Transversely Isotropic, Simply Supported and Layered Rectangular Plates," J. Elast., 25, pp. 101-116.
33. Moran, B., and Shih, C. F., 1987, "Crack Tip and Associated Domain Integrals From Momentum and Energy-Balance," Eng. Fract. Mech., 27, pp. 615-642.
34. Murakami, Y., 1986, Stress Intensity Factors Handbook, 1st Ed., Pergamon, Oxford, UK.
35. Hutchinson, J. W., 1987, "Crack Tip Shielding by Micro-Cracking in Brittle Solids," Acta Metall. Mater., 35, pp. 1605-1619.