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Photon emission as a probe of chaotic processes accompanying fracture

Published online by Cambridge University Press:  31 January 2011

S. C. Langford ,
Ma Zhenyi  and
J. T. Dickinson
S. C. Langford
Affiliation:
Physics Department, Washington State University, Pullman, Washington 99164–2814
Ma Zhenyi
Affiliation:
Physics Department, Washington State University, Pullman, Washington 99164–2814
J. T. Dickinson
Affiliation:
Physics Department, Washington State University, Pullman, Washington 99164–2814
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Abstract

Photon emission accompanying the fracture of an epoxy and single crystal MgO is examined for evidence of deterministic chaos by means of the autocorrelation function, the Fourier transform, the correlation integral of Grassberger and Procaccia, and the fractal box dimension. A positive Lyapunov exponent is also obtained from the epoxy phE data. Each of these measures is consistent with a significant degree of deterministic chaos associated with attractors of relatively low dimension. A typical epoxy fracture surface was analyzed for fractal character by means of the slit island technique, yielding a fractal dimension of 1.32 ± 0.03. The fractal dimensions of the fracture surface and the photon emission data (box dimension) of the epoxy are in good agreement. These observations suggest that fluctuations in photon emission intensity during fracture reflect the production of fractal surface features as they are being produced and thus provide important information on the process of dynamic crack growth.

Type
Articles
Information
Journal of Materials Research , Volume 4 , Issue 5 , October 1989 , pp. 1272 - 1279
Copyright
Copyright © Materials Research Society 1989

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References

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