Paper Titles
High Temperature Plastic Flow and Ductility in Polycrystalline Oxide Ceramics: Doping Effect and Related Phenomena
p.1620
Grain Boundary Diffusion in Cation-Doped Superplastic 3Y-TZP
p.1626
Annealing Effects on Toughened Intra-Type Nanocomposites
p.1632
The Comparative Analysis of the Non-Symmetric Thermal Shock Crack Propagation in Al2O3 and ZrO2 Bars
p.1640
Application of Fractal Geometry to Fracture Forensics, Research and Production
p.1646
R-Curve Behaviour of Alumina Matrix Ceramics with Long Cracks
p.1652
Electro-Stimulated Piezo-Spectroscopy for Measuring Nano-Scale Residual Stress Fields in Ceramics
p.1658
Fatigue Behaviour of Structural Ceramic Composites
p.1664
Strengthening of ZrO2 Ceramics due to Nano-Crystallization
p.1674

Application of Fractal Geometry to Fracture Forensics, Research and Production

Article Preview

Abstract:

The fracture surface records past events that occur during the fracture process by leaving characteristic markings. The application of fractal geometry aids in the interpretation and understanding of these events. Quantitative fractographic analysis of brittle fracture surfaces shows that these characteristic markings are self-similar and scale invariant, thus implying that fractal analysis is a reasonable approach to analyzing these surfaces. The fractal dimensional increment, D*, is directly proportional to the fracture energy, γ, during fracture for many brittle materials, i.e., γ = ½ E a0 D* where E is the elastic modulus and a0 is a structural parameter. Also, D* is equal to the crack-size-to-mirror-radius ratio. Using this information can aid in identifying toughening mechanisms in new materials, distinguishing poorly fabricated from well prepared material and identifying stress at fracture for field failures. Examples of the application of fractal analysis in research, fracture forensics and solving production problems are discussed.

You might also be interested in these eBooks
11th International Ceramics Congress View Preview

Info:

Periodical:

Advances in Science and Technology (Volume 45)

Pages:

1646-1651

DOI:

https://doi.org/10.4028/www.scientific.net/AST.45.1646

Citation:

Cite this paper

Online since:

October 2006

Authors:

J.J. Mecholsky Jr.

Keywords:

Ceramic, Fractal Geometry, Fractography, Fracture Mechanic

Export:

RIS, BibTeX

Price:

Permissions CCC:

Request Permissions

Permissions PLS:

Request Permissions

Сopyright:

© 2006 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

References

[1] F. W. Preston: J. Soc. of Glass Tech. 10 (1926) 234-269.

Google Scholar

[2] E. B. Shand: J. Am. Ceram. Soc., 42(10) 474-477(1959).

Google Scholar

[3] H. Wallner: Z. Phys., 114 (1939) 368-78.

Google Scholar

[4] Ch. De Freminville: Rev. Met, 11 (1914) 971-1056.

Google Scholar

[5] R.W. Rice : Ceramic fracture features, Observations, Mechanisms and Uses, in Fractography of Ceramic and Metal Failures, edited by J. J. Mecholsky, Jr. and S. R. Powell, Jr., ASTM STP 827, Philadelphia PA (1984) 5-102.

DOI: 10.1520/stp37106s

Google Scholar

[6] S. W. Freiman, J. J. Mecholsky, Jr., and P. F. Becher: Fractography: A Quantitative Measure of the Fracture Process in Ceramic Trans. 17, Am. Ceram. Soc., (1991) 55-78.

Google Scholar

[7] J. C. Russ: Fractal Surfaces. Plenum Press, NY (1996).

Google Scholar

[8] B.B. Mandelbrot, D.E. Passoja and J. Paullay: Nature, 308, (1984) 721ff.

Google Scholar

[9] A. Della Bona, T. J. Hill, and J. J. Mecholsky Jr.: J. Materials Sci. 36 (2001) 2645-50.

Google Scholar

[10] T. J. Hill, A. Della Bona, and J. J. Mecholsky, Jr.: J. Materials Science 36, (2001) 2651- 2657.

DOI: 10.1023/a:1017900526824

Google Scholar

[11] J. J. Mecholsky, Jr., T. J. Mackin and D. E. Passoja: Self-similar Crack propagation in Brittle Materials, Adv. In Ceramics 22: Fractography of Ceramics and Glasses, Varner and Frechette, eds., The Am. Ceramic Soc (1988).

Google Scholar

[12] Y. Fahmy, J. C. Russ and C. C. Koch: J. Mater. Sci. 6, (1991) 1856-1861.

Google Scholar

[13] J.J. Mecholsky, D.E. Passoja and K.S. Feinberg-Ringel : J. Am. Ceram. Soc. 72.

Google Scholar

[1] (1989).

Google Scholar

[14] P.N. Randall: Plain Strain Crack Toughness Testing of High Strength Metallic Materials in ASTM STP 410, (1988) 88-126.

Google Scholar

[15] J. J. Mecholsky, Jr. And S. W. Freiman: J. Am. Cer. Soc. 74.

Google Scholar

[12] (1991) 3136-38.

Google Scholar

[16] Y. Thompson, K. J. Anusavice, A. Naman and H. F. Morris: J. Dental Research, Vol 73, (1994) 1824-1832.

Google Scholar

[17] J. Y. Thompson, K.J. Anusavice, B. Balasunramaniam, & J. J. Mecholsky, Jr., ACerS.

Google Scholar

[78] 11 (1995) 3045-49.

Google Scholar

[18] J. Y. Thompson, J. C. Cuneo, A. Naman, J. J. Mecholsky, and K. J. Anusavice: Relationship Between Fracture Toughness and Fractal Dimension of a Dental GlassCeramic, Trans. Acad. Dent. Mater., v. 7, 87, Abstract (1994) 8.

Google Scholar

[19] K. T. Faber and A.G. Evans: Acta. Metallurgica vol. 31, no. 4, (1983) 577-584.

Google Scholar

[20] D.S. Baik, K.S. No, and J.S.S. Chun: J Am Ceram Soc. 78 (1995) 1217-22.

Google Scholar

[21] S. K. Lee, Y. C. Kim, and C. H. Kim : J. Mater. Sci ., 29 (1994) , 5321–26.

Google Scholar

[22] P. Sajgalik, J. Dusza, and M. J. Hoffmann : J. Am. Ceram. Soc., 10, (1995) 2619 –24.

Google Scholar

[23] R. Chaim and V. Talanker: J. Am. Ceram. Soc., 78, (1995) 166 –72.

Google Scholar

[24] G. Pezzotti : Acta Metall. Mater., 41, (1993) 1825–39.

Google Scholar

[25] T. J. Hill, J. J. Mecholsky Jr. and K. J. Anusavice: J. Am. Ceram. Soc., 83.

Google Scholar

[3] 2000) 545– 52.

Google Scholar

[26] I. Hucklenbroich, G. Stein, H. Chin, W. Trojahn, E. Streit: High nitrogen martensitic steel for critical components in aviation, Materials Science Forum v. 318-(1999) 161-166.

DOI: 10.4028/www.scientific.net/msf.318-320.161

Google Scholar

[27] D. K Shetty and V. K. Pujari: Tribology Trans. 47 (2004) 522-526.

Google Scholar

[28] Z. Chen, J. Cuneo, J. J. Mecholsky, Jr. and S. F. Hu: Wear 198, (1996) 197-207.

Google Scholar