It is studied the fractal dimension of the composite sample image. It is shown that the non-destructive method of fractal dimension estimating the can be used to estimate the strength of the samples.
сomposite Materials, mechanical properties of composites, cellulose, pulp, pin chips and sawdust, image processing, fractal dimension
Ранее, в работах одного из соавторов [1,2] изучались модели процессов разрушения композитных материалов, базирующихся на простых дифференциальных уравнениях, предложенных Качановым Л.М. [3], обобщенных в работе [1] в представлении стохастических дифференциальных уравнений в смысле Ито-Стратановича, а также в моделях, основанных на уравнениях Колмогорова-Фоккера-Планка [2,4,5].
1. Eflov V. B. Estimation of service life on the basis of a model of damage accumulation// V.B. Eflov. Strength of Materials vol. 32 issue 1 New-York: Kluwer Academic Publishers-Plenum Publishers. January 2000. p. 103–107.
2. Eflov V.B. Uravnenie Fokkera-Planka zadache nakopleniya povrezhdeniy/ V.B. Eflov. Petrozavodskiy gos. Un-t. Petrozavodsk. Dep. V VINITI 20.07.1995 №2241-V95. 1995. 16 s.
3. Kachanov L.M. Osnovy mekhaniki razrusheniya / L.M. Kachanov M.: Nauka, 1974. 312 s.
4. Gardiner G.W. Handbook of Stochastic Methods for Physics, Chemistry and the Natural Sciences/G.W. Gardiner Springer Series in Synergetics, Vol. 13. Springer-Verlag, Berlin, Heidelberg, N.Y. 1997, 410 p.
5. Stratonovich R. L., Nonlinear Nonequilibrium Thermodynamics II. Advanced Theory/ R.L. Stratonovich Springer Series in Synergetics, Vol. 59. Springer-Verlag, Berlin, Heidelberg, N.Y. 1994, 223 p.
6. Dzheykmen E., Rasseyanie na fraktalakh. Fraktaly v fizike/ per. s angl.; Pod.red. Ya.G., Sinaya i I.M. Khalatnikova. -M.: Mir, 1988. S. 82-90.
7. Serra J. Image Analysis and Mathematical Morphology. - Berlin Heidelberg New York: Springer, 1994. 384 p.
8. Andreev A.A., Vasil´ev S.B., Kolesnikov G.N., Syunev V.S. Vliyanie novoy polimerno-mineral´noy dobavki na prochnost´ drevesno-tsementnogo materiala dlya maloetazhnogo stroitel´stva. Sbornik nauchnykh trudov po materialam mezhdunarodnoy zaochnoy nauchno-prakticheskoy konferentsii Aktual´nye napravleniya nauchnykh issledovaniy XXI veka: teoriya i praktika. 2014. № 2-2 (7-2). S. 292-296..
9. Maindonald J. H. Using R for Data Analysis and Graphics./ Centre for Mathematics and Its Applications: Australian National University, 2008. 112 p.
10. Gneiting T. Estimators of fractal dimension: Assessing the smoothness of time series and spatial data.. T. Gneiting, H. Sevcikova, D.B. Percival Statistical Science, 27(2), P. 247-277.