Mechanisms and mechanics governing the indentation of polycrystalline alumina

Journal of the American Ceramic Society

Volumn 91, Issue 9, 2008, Pages 2987-2996

  Wei, Zhensong ^a   Deshpande, Vikram S ^a   Evans, Anthony G ^a  

^a University of California   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

LARGE GRAINS; MICRO CRACKS; POLYCRYSTALLINE ALUMINA;

ABS RESINS; CODES (SYMBOLS); CONSTITUTIVE MODELS; DEFORMATION; GRAIN SIZE AND SHAPE; MECHANISMS; ORE TREATMENT; PLASTICS; SPEED;

GRAIN (AGRICULTURAL PRODUCT);

EID: 51149091436     PISSN: 00027820     EISSN: 15512916     Source Type: Journal    
DOI: 10.1111/j.1551-2916.2008.02565.x     Document Type: Article

References (44)

1. H. Hertz, Hertz's Miscellaneous Papers, Chapters 5 and 6. Macmillan, London, U.K., 1896.
2. B. J. Hockey Plastic Deformation of Aluminum Oxide by Indentation and Abrasion J. Am. Ceram. Soc., 54, 223 31 (1971).
3. F. Guiberteau, N. P. Padture B. R. Lawn Effect of Grain Size on Hertzian Contact Damage in Alumina J. Am. Ceram. Soc., 77, 1825 31 (1994).
4. J. Lankford, W. W. Predebon, J. M. Staehler, G. Subhash, B. J. Pletka C. E. Anderson The Role of Plasticity as a Limiting Factor in the Compressive Failure of High Strength Ceramics Mech. Mater., 29, 205 18 (1998).
5. F. C. Frank B. R. Lawn On the Theory of Hertzian Fracture Proc. R. Soc. London, A299, 291 306 (1967).
6. B. R. Lawn Indentation of Ceramics with Spheres: A Century After Hertz J. Am. Ceram. Soc., 81, 1977 94 (1998).
7. B. R. Lawn R. Wilshaw Indentation Fracture: Principles and Applications J. Mater. Sci., 10, 1049 81 (1975).
8. R. J. Anton G. Subhash Dynamic Vickers Indentation of Brittle Materials Wear, 239, 27 35 (2000).
9. W. W. Chen, A. M. Rajendran, B. Song X. Nie Dynamic Fracture of Ceramics in Armor Applications J. Am. Ceram. Soc., 90, 1005 18 (2007).
10. G. R. Johnson T. J. Holmquist Response of Boron Carbide Subjected to Large Strains, High Strain Rates, and High Pressures J. Appl. Phys., 85, 8060 73 (1999).
11. S. Satapathy Dynamic Spherical Cavity Expansion in Brittle Ceramics Int. J. Solids Struct., 38, 5833 45 (2001).
12. W. Zhang G. Subhash An Elastic-Plastic-Cracking Model for Finite Element Analysis of Indentation Cracking in Brittle Materials Int. J. Solids Struct., 38, 5893 913 (2001).
13. D. Ghosh, G. Subhash, T. S. Sudarshan, R. Radhakrishnan X. L. Gao Dynamic Indentation Response of Fine-Grained Boron Carbide J. Am. Ceram. Soc., 90, 1850 7 (2007).
14. R. M. Brannon, J. M. Wells O. E. Strack Validating Theories for Brittle Damage Metall. Mater. Trans. A, 38A, 2861 8 (2007).
15. H. D. Espinosa, G. Raiser, R. J. Clifton M. Ortiz Experimental Observations and Numerical Modeling of Inelasticity in Dynamically Loaded Ceramics J. Hard Mater., 3, 285 313 (1992).
16. A. M. Rajendran Modeling the Impact Behavior of AD85 Ceramic Under Multi-Axial Loading Int. J. Impact Eng., 15, 749 68 (1994).
17. H. D. Espinosa N. S. Brar Dynamic Failure Mechanisms of Ceramic Bars: Experiments and Numerical Simulations J. Mech. Phys. Solids, 43, 1615 38 (1995).
18. A. M. Rajendran D. J. Grove Modeling the Shock Response of Silicon Carbide, Boron Carbide and Titanium Diboride Int. J. Impact Eng., 18, 611 31 (1996).
19. H. D. Espinosa, P. D. Zavattieri S. K. Dwivedi A Finite Deformation Continuum/Discrete Model for the Description of Fragmentation and Damage in Brittle Materials J. Mech. Phys. Solids, 46, 1909 42 (1998).
20. P.D Zavatieri, P. V. Raghuram H. D. Espinosa A Computational Model of Ceramic Microstructures Subjected to Multi-Axial Dynamic Loading J. Mech. Phys. Solids, 49, 27 68 (2000).
21. A. M. Rajendran Historical Perspective on Ceramic Materials Damage Models pp. 281 97 Proceedings of the Ceramic Armor by Design Symposium, Pacific Rim IV International Conference on Advanced Glass and Ceramics, Wailea, Maui, Hawaii, 2001.
22. F. Zhou J. F. Molinari 3D Finite Element Analysis of Impact Damage in Metallic and Ceramic Targets pp. 317 27 Proceedings of the Ceramic Armor by Design Symposium, Pacific Rim IV International Conference on Advanced Glass and Ceramics, Wailea, Maui, Hawaii, 2001.
23. B. Paliwal K. T. Ramesh An Interacting Micro-Crack Damage Model for the Failure of Brittle Materials Under Compression J. Mech. Phys. Solids, 56, 896 923 (2008).
24. V. S. Deshpande A. G. Evans Inelastic Deformation and Energy Dissipation in Ceramics: A Mechanics-Based Dynamic Constitutive Model J. Mech. Phys. Solids., in press.
25. B. R. Lawn, N. P. Padture, F. Guiberteau H. Cai A Model for Microcrack Initiation and Propagation Beneath Hertzian Contacts in Polycrystalline Ceramics Acta Metall. Mater., 42, 1683 93 (1994).
26. M. F. Ashby C. F. Sammis The Damage Mechanics of Brittle Solids in Compression Pure Appl. Geophys., 133, 489 521 (1990).
27. A. G. Evans Microfracture from Thermal Expansion Anisotropy Acta Metall., 26, 1845 53 (1978).
28. R. W. Rice Microstructural Dependence of Mechanical Behavior of Ceramics pp. 199 381 in Treatise on Materials Science and Technology: Properties and microstructure, Vol. 11. Academic Press, New York, 1977.
29. Y. Fu A. G. Evans Microcrack Zone Formation in Single Phase Polycrystals Acta Metall., 30, 1619 25 (1982).
30. A. G. Evans Slow Crack Growth in Brittle Materials Under Dynamic Loading Conditions Int. J. Fract., 10, 251 9 (1974).
31. K. E. Aeberli R. D. Rawlings Effect of Simulated Body Environments on Crack Propagation in Alumina J. Mater. Sci. Lett., 2, 215 20 (1983).
32. S. M. Wiederhorn L. H. Bolz Stress Corrosion and Static Failure of Glass J. Am. Ceram. Soc., 53, 543 8 (1970).
33. W. Weibull A Statistical Distribution Function of Wide Applicability J. Appl. Mech., 18, 293 7 (1951).
34. A. G. Evans A General Approach for the Statistical Analysis of Multiaxial Fracture J. Am. Ceram. Soc., 61, 302 8 (1978b).
35. K. P. D. Lagerlof, A. H. Heuer, J. Castaing, J. P. Riviere T. E. Mitchell Slip and Twining in Sapphire J. Am. Ceram. Soc., 77, 385 97 (1994).
36. D. C. Drucker W. Prager Soil Mechanics and Plastic Analysis or Limit Design Q. Appl. Math., 10, 157 65 (1952).
37. D. W. Templeton, T. J. Holmquist, H. W. Meyer, D. J. Grove B. Leavy A Comparison of Ceramic Material Models pp. 299 308 Proceedings of the Ceramic Armor by Design Symposium, Pacific Rim IV International Conference on Advanced Glass and Ceramics, Wailea, Maui, Hawaii, 2001.
38. Z. Wei, V. S. Deshpande A. G. Evans. Simulation of the Dynamic Penetration of Alumina, Submitted for Publication (2008).
39. H. J. Frost M. F. Ashby, Deformation-Mechanism Maps. Pergamon Press, Oxford, U.K., 1982.
40. M. Adams G. Sines Determination of Biaxial Compressive Strength of a Sintered Alumina Ceramic J. Am. Ceram. Soc., 59, 300 4 (1976).
41. K. L. Johnson, Contact Mechanics. Cambridge University Press, Cambridge, U.K., 1985.
42. R. Hill, The Mathematical Theory of Plasticity. Oxford University Press, London, U.K., 1950.
43. S. D. Sinisa N. A. Fleck Spherical Indentation of Elastic-Plastic Solids Proc. R. Soc. London, A455, 2707 28 (1999).
44. D. Tabor, Hardness of Metals. Clarendon, Oxford, U.K., 1950.