Stress analysis of contact deformation in quasi-plastic ceramics

Journal of the American Ceramic Society

Volumn 79, Issue 10, 1996, Pages 2609-2618

  Fischer Cripps, Anthony C ^a,b,c   Lawn, Brian R ^a,b  

^a NATIONAL INSTITUTE OF STANDARDS AND TECHNOLOGY   (United States)

^b AMERICAN CERAMIC SOCIETY   (United States)

^c UNIVERSITY OF TECHNOLOGY SYDNEY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

BRITTLE FRACTURE; DEFORMATION; ELASTOPLASTICITY; FINITE ELEMENT METHOD; MATHEMATICAL MODELS; SHEAR STRESS; STRAIN; STRESS ANALYSIS; TENSILE STRENGTH;

HERTZIAN CONTACT DEFORMATION; QUASIPLASTIC CERAMICS;

CERAMIC MATERIALS;

EID: 0030259864     PISSN: 00027820     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.1151-2916.1996.tb09023.x     Document Type: Article

References (51)

1. B. R. Lawn, N. P. Padture, H. Cai, and F. Guiberteau, "Making Ceramics 'Ductile'," Science, 263, 1114-16 (1994).
2. J. C. Jaeger and N. G. W. Cook, Fundamentals of Rock Mechanics. Chapman and Hall, London, U.K., 1971.
3. M. S. Paterson, Experimental Rock Deformation - The Brittle Field. Springer-Verlag, Berlin, Germany, 1978.
4. H. Horii and S. Nemat-Nasser, "Brittle Failure in Compression: Splitting, Faulting and Brittle-Ductile Transition," Philos. Trans: R. Soc. London, 319 [1549] 337-74 (1986).
5. M. F. Ashby and S. D. Hallam, "The Failure of Brittle Solids Containing Small Cracks Under Compressive Stress States," Acta Metall. Mater., 34 [3] 497-510 (1986).
6. F. Guiberteau, N. P. Padture, H. Cai, and B. R. Lawn, "Indentation Fatigue: A Simple Cyclic Hertzian Test for Measuring Damage Accumulation in Polycrystalline Ceramics," Philos. Mag. A, 68 [5] 1003-16 (1993).
7. F. Guiberteau, N. P. Padture, and B. R. Lawn, "Effect of Grain Size on Hertzian Contact in Alumina," J. Am. Ceram. Soc., 77 [7] 1825-31 (1994).
8. H. Cai, M. A. Stevens Kalceff, and B. R. Lawn, "Deformation and Fracture of Mica-Containing Glass-Ceramics in Hertzian Contacts," J. Mater. Res., 9 [3] 762-70 (1994).
9. H. Cai, M. A. S. Kalceff, B. M. Hooks, B. R. Lawn, and K. Chyung, "Cyclic Fatigue of a Mica-Containing Glass-Ceramic at Hertzian Contacts," J. Mater. Res., 9 [10] 2654-61 (1994).
10. N. P. Padture and B. R. Lawn, "Toughness Properties of a Silicon Carbide with an In-Situ-Induced Heterogeneous Grain Structure," J. Am. Ceram. Soc., 77 [10] 2518-22 (1994).
11. N. P. Padture and B. R. Lawn, "Contact Fatigue of a Silicon Carbide with a Heterogeneous Grain Structure," J. Am. Ceram. Soc., 78 [6] 1431-38 (1995).
12. N. P. Padture and B. R. Lawn, "Fatigue in Ceramics with Interconnecting Weak Interfaces: a Study Using Cyclic Hertzian Contacts," Acta Metall., 43 [4] 1609-17 (1995).
13. H. H. K. Xu, L. Wei, N. P. Padture, B. R. Lawn, and R. L. Yeckley, "Effect of Microstructural Coarsening on Hertzian Contact Damage in Silicon Nitride," J. Mater. Sci., 30, 869-78 (1995).
14. P. L. Swanson, C. J. Fairbanks, B. R. Lawn, Y.-W. Mai, and B. J. Hockey, "Crack-Interface Grain Bridging as a Fracture Resistance Mechanism in Ceramics: I, Experimental Study on Alumina," J. Am. Ceram. Soc., 70 [4] 279-89 (1987).
15. S. J. Bennison and B. R. Lawn, "Role of Interfacial Grain-Bridging Sliding Friction in the Crack-Resistance and Strength Properties of Nontransforming Ceramics," Acta Metall., 37 [10] 2659-71 (1989).
16. S. J. Bennison, N. P. Padture, J. L. Runyan, and B. R. Lawn, "Flaw-Insensitive Ceramics," Philos. Mag. Lett., 64 [4] 191-95 (1991).
17. A. C. Fischer-Cripps and B. R. Lawn, "Indentation Stress-Strain Curves for "Quasi-Ductile" Ceramics," Acta Metall., 44 [2] 519-27 (1996).
18. A. Pajares, F. Guiberteau, B. R. Lawn, and S. Lathabai, "Hertzian Contact Damage in Magnesia-Partially-Stabilized Zirconia," J. Am. Ceram. Soc., 78 [4] 1083-86 (1995).
19. B. R. Lawn and T. R. Wilshaw, "Indentation Fracture: Principles and Applications," J. Mater. Sci., 10 [6] 1049-81 (1975).
20. D. Tabor, Hardness of Metals. Clarendon, Oxford, U.K., 1951.
21. A. Pajares, L. Wei, B. R. Lawn, and D. B. Marshall, "Damage Accumulation and Cyclic Fatigue in Mg-PSZ at Hertzian Contacts," J. Mater. Res., 10 [10] 2613-25 (1995).
22. N. P. Padture, C. J. Evans, H. H. K. Xu, and B. R. Lawn, "Enhanced Machinability of Silicon Carbide via Microstructural Design," J. Am. Ceram. Soc., 78 [1] 215-17 (1995).
23. H. H. K. Xu and S. Jahanmir, "Scratching and Grinding of a Machinable Glass-Ceramic with Weak Interfaces and Rising T-Curve," J. Am. Ceram. Soc., 78 [2] 497-500 (1995).
24. H. H. K. Xu, N. P. Padture, and S. Jahanmir, "Effect of Microstructure on Scratching and Grinding Responses of Silicon Carbide Ceramics," J. Am. Ceram. Soc., 78 [9] 2443-48 (1995).
25. K. L. Johnson, Contact Mechanics. Cambridge University Press, London, U.K., 1985.
26. R. Hill, The Mathematical Theory of Plasticity. Oxford University Press, London, U.K., 1950.
27. M. V. Swain and J. T. Hagan, "Indentation Plasticity and the Ensuing Fracture of Glass," J. Phys. D, 9, 2201-14 (1976).
28. D. M. Marsh, "Plastic Flow and Fracture in Glass," Proc. R. Soc. London, A282 [1388] 33-43 (1964).
29. S. S. Chiang, D. B. Marshall, and A. G. Evans, "The Response of Solids to Elastic/Plastic Indentation. I. Stresses and Residual Stresses," J. Appl. Phys., 53 [1] 298-311 (1982).
30. K. Komvopolous, "Elastic-Plastic Finite Element Analysis of Indented Layered Media," J. Tribol., 111, 430-39 (1989).
31. P. Montmitonnet, M. L. Edinger, and E. Felder, "Finite Element Analysis of Elastoplastic Indentation: Part II - Application to Hard Coatings," J. Tribol., 115, 15-19 (1993).
32. A. C. Fischer-Cripps, "Elastic-Plastic Behaviour in Materials Loaded with a Spherical Indenter," J. Mater. Sci., in press.
33. C. K. Chyung, G. H. Beall, and D. G. Grossman, "Microstructures and Mechanical Properties of Mica Glass-Ceramics"; pp. 1167-94 in Electron Microscopy and Structure of Materials. Edited by G. Thomas, R. M. Fulrath, and R. M. Fisher. University of California Press, Berkeley, CA, 1972.
34. K. Chyung, G. H. Beall, and D. G. Grossman, "Fluorophlogopite Mica Glass-Ceramics"; pp. 33-40 in Proceedings of the 10th International Glass Congress, No. 14. Edited by M. Kunugi, M. Tashiro, and N. Saga. Ceramic Society of Japan, Kyoto, Japan, 1974.
35. R. M. Davies, "Determination of Static and Dynamic Yield Stresses Using a Steel Ball," Proc. R. Soc. London, A197 [1050] 416-32 (1949).
36. M. V. Swain and B. R. Lawn, "A Study of Dislocation Arrays at Spherical Indentations in LiF as a Function of Indentation Stress and Strain," Phys. Status Solidi, 35 [2] 909-23 (1969).
37. T. O. Mulhearn, "The Deformation of Metals by Vickers-Type Pyramidal Indenters," J. Mech. Phys. Solids, 7, 85-96 (1959).
38. H. Hertz, Hertz's Miscellaneous Papers; Chs. 5 and 6. Macmillan, London, U.K., 1896.
39. F. C. Frank and B. R. Lawn, "On the Theory of Hertzian Fracture," Proc. R. Soc. London, A299 [1458] 291-306 (1967).
40. 2-Containing Ceramics: II, Elastic-Plastic Indentation," J. Am. Ceram. Soc., 69 [3] 189-94 (1986).
41. D. B. Marshall and M. V. Swain, "Crack-Resistance Curves in Magnesia-Partially-Stabilized Zirconia," J. Am. Ceram. Soc., 71 [6] 399-407 (1988).
42. N. P. Padture, J. L. Runyan, S. J. Bennison, L. M. Braun, and B. R. Lawn, "Model for Toughness-Curves in Two-Phase Ceramics: II, Microstructural Variables," J. Am. Ceram. Soc., 76 [9] 2241-47 (1993).
43. H. Cai, N. P. Padture, B. M. Hooks, and B. R. Lawn, "Flaw Tolerance and Toughness-Curves in Two-Phase Particulate Composites: SiC/Glass System," J. Eur. Ceram. Soc., 13, 149-57 (1994).
44. L. Wei and B. R. Lawn, "Thermal Wave Analysis of Contact Damage in Ceramics: Case Study on Alumina," J. Mater. Res., 11 [4] 939-47 (1996).
45. M. L. Batzle, G. Simmons, and R. W. Siegfried, "Microcrack Closure in Rocks Under Stress: Direct Observations," J. Geophys. Res., 85 [B12] 7072-90 (1980).
46. R. L. Kranz, "Microcracks in Rocks: A Review," Tectonophysics, 100, 449-80 (1983).
47. J. M. Kemeny and N. G. W. Cook, "Micromechanics of Deformation in Rock"; pp. 287-311 in Toughening Mechanisms in Quasi-Brittle Materials. Edited by S. P. Shah. Kluwer Academic Publishers, Dordrecht, Netherlands, 1991.
48. L. R. Myer, J. M. Kemeny, Z. Zheng, R. Suarez, R. T. Ewy, and N. G. W. Cook, "Extensile Cracking in Porous Rock under Differential Compressive Stress," Appl. Mech. Rev., 45 [8] 263-80 (1992).
49. T.-F. Wong, H. Szeto, and J. Zhang, "Effect of Loading Path and Porosity on the Failure Mode of Porous Rocks," Appl. Mech. Rev., 45 [8] 281-93 (1992).
50. B. R. Lawn, N. P. Padture, F. Guiberteau, and H. Cai, "A Model for Microcrack Initiation and Propagation Beneath Hertzian Contacts in Polycrystalline Ceramics," Acta Metall., 42 [5] 1683-93 (1994).
51. K. L. Johnson, J. J. O'Connor, and A. C. Woodward, "The Effect of Indenter Elasticity on the Hertzian Fracture of Brittle Materials," Proc. R. Soc. London, A334, 95 (1973).