Influence of measurement uncertainties on the determination of the Weibull distribution

Journal of the European Ceramic Society

Volumn 32, Issue 2, 2012, Pages 251-255

  Bermejo, Raul ^a   Supancic, Peter ^a   Danzer, Robert ^a  

^a INSTITUT FÜR STRUKTUR UND FUNKTIONSKERAMIK   (Austria)

Author keywords

Failure analysis; Failure probability; Strength; Test methods; Weibull statistics

Indexed keywords

CONFIDENCE LEVELS; ERROR DISTRIBUTIONS; FAILURE PROBABILITY; HIGH-PRECISION MEASUREMENT; MEASUREMENT UNCERTAINTY; MONTE CARLO SIMULATION TECHNIQUE; PARAMETER RANGE; STRENGTH; STRENGTH TESTING; TEST METHODS; WEIBULL MODULUS; WEIBULL STATISTICS;

BRITTLENESS; COMPUTER SIMULATION; DISTRIBUTION FUNCTIONS; FAILURE ANALYSIS; MATERIALS TESTING; MONTE CARLO METHODS; UNCERTAINTY ANALYSIS;

WEIBULL DISTRIBUTION;

EID: 80055116988     PISSN: 09552219     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jeurceramsoc.2011.09.008     Document Type: Article

References (17)

1. 1161-02c, Standard test methods for flexural strength of advanced ceramics at ambient temperature. American Society for Testing and Materials; 2002.
2. Advanced technical ceramics, monolithic ceramics, mechanical properties at room temperature, Part 5: statistical analysis; 1996.
3. Danzer R., Lube T., Supancic P. Monte-Carlo simulations of strength distributions of brittle materials - type of distribution, specimen- and sample size. Zeitschrift für Metallkunde 2001, 92(7):773-783.
4. Weibull W. A statistical theory of strength of materials. R Swedish Inst Eng Res 1939, 1-45.
5. Weibull W. A statistical distribution function of wide applicability. J Appl Mech 1951, 18:253.
6. Danzer R., Lube T. New fracture statistics for brittle materials. Fracture mechanics of ceramics 1996, 425-439. Plenum Publishing Corp., New York. R.C. Bradt, D.P.H. Hasselmann, D. Munz, M. Sakai, V.Y. Shevchenkov (Eds.).
7. Danzer R., Lube T., Supancic P., Damani R. Fracture of advanced ceramics. Adv Eng Mater 2008, 10(4):275-298.
8. Munz D., Fett T. Ceramics. Mechanical properties, failure behaviour, materials selection 1999, Springer, Berlin.
9. Advanced technical ceramics, monolithic ceramics, mechanical properties at room temperature, part 1: determination of flexural strength; 1995.
10. Baratta F.I., Matthews W.T., Quinn G.D. Errors associated with flexure testing of brittle materials 03/1997, U.S. Army Materials Technology Laboratory, Bericht für.
11. Lube T., Manner M., Danzer R. The Miniaturisation of the 4-point bend-test. Fatigue Fract Eng Mater Struct 1997, 20(11):1605-1616.
12. Morrell R. Biaxial flexural strength testing of ceramic materials 1998, National Physical Laboratory, Teddigton, p. 51.
13. Morrell R. Biaxial flexural strength testing of ceramic materials. Measurement good practice guide no 1999, N.P. Laboratory, Teddigton, UK. 12th ed.
14. Börger A., Supancic P., Danzer R. The ball on three balls test for strength testing of brittle discs: stress distribution in the disc. J Eur Ceram Soc 2002, 22(9-10):1425-1436.
15. Börger A., Supancic P., Danzer R. The ball on three balls test for strength testing of brittle discs: part II: analysis of possible errors in the strength determination. J Eur Ceram Soc 2004, 24(10-11):2917-2928.
16. Danzer R., Harrer W., Supancic P., Lube T., Wang Z., Börger A. The ball on three balls test - strength and failure analysis of different materials. J Eur Ceram Soc 2007, 27(2-3):1481-1485.
17. 1239-95, Standard practice for reporting uniaxial strength data and estimating Weibull distribution paramters for advanced ceramics. A.S.f. T. a. Materials; 1995.