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Self-Affinity Analysis of the Fracture Surfaces of Polypropylene and Opal Glass.

Published online by Cambridge University Press:  21 March 2011

M. Hinojosa
Affiliation:
Universidad Autónoma de Nuevo León, A.P. 149-F, S. Nicolás de los Garza, 66451México. [email protected]
E. Reyes
Affiliation:
Universidad Autónoma de Nuevo León, A.P. 149-F, S. Nicolás de los Garza, 66451, México
C. Guerrero
Affiliation:
Universidad Autónoma de Nuevo León, A.P. 149-F, S. Nicolás de los Garza, 66451, México
U. Ortiz
Affiliation:
Universidad Autónoma de Nuevo León, A.P. 149-F, S. Nicolás de los Garza, 66451, México
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Abstract

In this work we report the self-affinity analysis of the fracture surfaces of a polymeric semicrystalline material and an opal glass. In the case of the plastic material, samples of isotactic polypropylene (i-PP) were prepared by varying the cooling rate from the melt; this resulted in different spherulite sizes. Samples were then broken in bend test after being immersed in liquid nitrogen. In the case of the opal glass, samples with different sizes of the opacifying particles, obtained by different thermal treatments, were broken in a punch test. In both cases the fracture surfaces were analyzed by both Scanning Electron Microscopy (SEM) and Atomic Force Microscopy (AFM) in the contact mode. Self-affinity analysis was performed by the variable bandwidth method, covering a range of length scales spanning from a few nanometers up to ten micrometers. The roughness exponents are found to be of similar values close to ζ = 0.8 with the correlation length corresponding to the size of the spherulites in the plastic material and to the size of the opacifying particles in the opal glass. These results should be taken into account in the development of multiscale models and simulations of the fracture process of real heterogeneous materials.

Type
Research Article
Copyright
Copyright © Materials Research Society 2001

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References

1. Mandelbrot, B.B., Passoja, D.E. and Paullay, A.J., “Fractal Character of Fracture Surfaces of Metals”, Nature, 308, pp 721722 (1984).Google Scholar
2. Bouchaud, E., “Scaling Properties of Cracks”, J. Phys.:Condens. Matter 9 (1997) 43194344.Google Scholar
3. Bouchaud, E., Lapasset, G. and Planés, J., Europhys Lett., 13, pp 73 (1990).Google Scholar
4. Daguier, P., Nghiem, B., Bouchaud, E. and Creuzet, F., “Pinning and Depinning of Crack Fronts in Heterogeneous Materials”, Phys. Rev Lett., 78, pp 1062 (1997).Google Scholar
5. Daguier, P., Hénaux, S., Bouchaud, E., and Creuzet, F., “Quantitative Analysis of a Fracture Surface by Atomic Force Microscopy”, Phys. Rev. E, 53, 5637 (1996).Google Scholar
6. Daguier, P., Ph. D. thesis, Université Paris 6 (in french), November 1997.Google Scholar
7. Hinojosa, M., Bouchaud, E. and Nghiem, B.. Materials Research Society Symposium Proceedings, Volume 539, Materials Research Society, Warrendale Pennsylvania, pp. 203208, 1999.Google Scholar
8. Hinojosa, M., Aldaco, J., Ortiz, U., and González, V., “Roughness exponent of the fracture surface of Al-Si Alloy”. Aluminum Transactions. An International Journal. Volume 3. No.1. pp.5357, 2000.Google Scholar
9. Reyes, Edgar, Master Thesis, University of Nuevo Leon, Mexico (in spanish). 1999.Google Scholar
10. Hinojosa, M., and Chavez, L.. “Self-affinity Analysis of Glass Fracture Surfaces-Natural Fractals”. The Glass Researcher. Volume 9. pp. 2324, USA 2000.Google Scholar
11. Schmittbuhl, J., Vilotte, J.P.. Roux, S., “Reliability of self-affine measurements”, Phys. Rev. E, 51 131 (1995).Google Scholar