How to do a Weibull statistical analysis of flexural strength data: Application to AlON, diamond, zinc selenide, and zinc sulfide

Proceedings of SPIE-The International Society for Optical Engineering

Volumn 4375, Issue , 2001, Pages 241-257

  Klein, Claude A ^a   Miller, Richard P ^b  

^a CAK Analytics Inc   (United States)

^b NORTHEASTERN UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BRITTLE FRACTURE; CERAMIC MATERIALS; CHEMICAL VAPOR DEPOSITION; DIAMONDS; INFRARED TRANSMISSION; LINEARIZATION; POLYCRYSTALLINE MATERIALS; TENSILE STRESS; WEIBULL DISTRIBUTION;

WEIBULL STATISTICAL ANALYSIS;

BENDING STRENGTH;

EID: 0035759083     PISSN: 0277786X     EISSN: None     Source Type: Journal    
DOI: 10.1117/12.439181     Document Type: Article

References (20)

1. D. Green, An Introduction to the Mechanical Properties of Ceramics, Cambridge U. Press, New York (1998).
2. D. Harris, Infrared Window and Dome Materials, SPIE Optical Engineering Press, Bellingham/WA (1999).
3. C. Klein and R. Gentilman, "Flexural strength of sapphire: About measurements performed at SoRI, UDRI, and UMass," Proc. SPIE, to be published (2001).
4. W. Weibull, "A statistical theory of the strength of materials," Ingen. Vetensk. Akad. Hdlgr., no. 151, pp. 1-45 (1939).
5. P. Davis, "Gamma function and related functions," in Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, edited by M. Abramowitz and I. Stegun (USGPO, Washingon, 1964), Chap. 6.
6. G. Quinn, "Strength and proof testing," in Engineered Materials Handbook, edited by S. Schneider (ASM, Metals Park/OH, 1991), vol. 4, pp. 585-598.
7. J. Wachtman, W. Capps, and J. Mandel, "Biaxial flexure tests of ceramic substrates," J. Mater. 7, 188 (1972).
8. W. Young, Roark's Formulas for Stress and Strain, McGraw-Hill Book Co., New York (1989).
9. PSI-Plot: Scientific Spreadsheet and Technical Plotting: Version 6, PolySoftware Int'l, Sandy/UT (1999).
10. C. Klein, R. Hallock, and R. Miller, "Chemically vapor-deposited diamond: Strains, stresses, and fracture strength," in Proc. Fourth Int'l Symp. Diamond Materials, edited by K. Ravi (Electro-Chemical Society, Pennington/NJ, 1995), pp. 661-674.
11. J. Savage, C. Wort, C. Pickles, R. Sussmann, C. Sweeney, M. McClymont, J. Brandon, C. Dodge, and A. Beale, "Properties of free-standing CVD diamond optical components," Proc. SPIE 3060, 144 (1997).
12. C. Klein, "Weibull modulus and characteristic strength of massive CVD-diamond deposits," Memo No. RAY/RD/M-5373 (Raytheon Research Division, Lexington/MA, 1993), available upon request.
13. C. Klein, "Thermal shock resistance of infrared-transmitting windows and domes," Opt. Eng. 37, 2826 (1998).
14. P. Patel, G. Gilde, P. Dehmen, and J. McCauley, "Transparent armor," The AMPTIAC Newsletter, vol. 4, no. 3, pp. 1-5 and 13 (2000).
15. T. Steyer, K. Faber, and M. Drory, "Fracture strength of free-standing chemically vapor-deposited diamond films," Appl. Phys. Letters 66, 3105 (1995).
16. F. Vitman and V. Pukh, "A method for determining the strength of sheet glass," Zavodskaya Laboratoriya 29, 863 (1963).
17. D. Shetty, A. Rosenfield, P. McGuire, G. Bansal, and W. Duckworth, "Biaxial flexure tests for ceramics," Ceram. Bull. 59, 1193 (1980).
18. S. Timoshenko and S. Woinowsky-Krieger, Theory of Plates and Shells, McGraw-Hill Book Co., New York (1959).
19. J. Ritter, K. Jakus, A. Batakis, and N. Bandyapadhyay, "Appraisal of biaxial strength testing," J. Non-Crystalline Solids, 38/39, 419 (1980).
20. W. Rogers, Private Communication, University of Colorado, Boulder/CO (1992).