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Термин консултација:

понедељак 11-12

Кабинет: 217
E-mail: nebojsa.vasovic@rgf.bg.ac.rs

Фрактали у геомеханици

О предмету

Студијски програм: Рударско инжењерство (II семестар -DOS)

Назив предмета: Фрактали у геомеханици

Предавачи: проф. др Небојша Васовић, проф. др Небојша Гојковић

Статус предмета: Изборни

ЕСПБ бодови: 10

Услов: -

Циљ предмета: Упознавање докторанада са основним појмовима из теорије фрактала и њихове примене у геомеханичким истраживањима.

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Исход предмета: Докторанди ће овладати применом фрактала за потребе одређивања различитих параметара у оквиру геомеханичких истраживања.

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Садржај предмета:

Теоријска настава
1. Дефиниција фрактала. 2. Фрагментација.3. Фрактална кластеризација. 4. Само-афини фрактали. 5. Поступак ренормализације. 6. Нумеричка оцена фракталне димензије. 7. Фрактали у геотектоници. 8. Фрактали и коефицијент храпавости пукотина (JRC). 9. Примена фрактала за класификацију терена као радне средине по Bieniawskom (RMR). 10. Примена фрактала у изучавању испуцалости и распаднутости стенских маса. 11. Корелације између параметра CBR и фракталне димензије код пескова.

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Практична настава
Анализа и интерпретација чланака из референтних међународних часописа.

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Литература:

  1. Turcotte, D. 1997. Fractals and chaos in geology and geophysics. Cambridge University Press.
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  2. Vijay, D. 2005. Fractals behavior of the earth system. Springer.
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  3. Moon, F. 1992. Chaotic and fractal dynamics – an introduction for applied scientists and engineers. Wiley-VCH, Verlag.
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  4. Heping, X., Zhida, C. 1988. Fractal geometry and fracture of rock. Acta mechanica sinica, Vol.4, No.3.
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  5. Sezer, A., Altun, S., Erdogan, D., Goktepe, A.B. 2008. Correlation between CBR strength and fractal dimensions of sands. Proceedings of 12th International Conference of International Association for computer methods and advances in geomechanics (IACMAG),
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  6. Perfect, E. 1997. Fractal models for the fragmentation of rocks and soils: a review. Engineering geology 48, 185-198
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  7. Pal, S.K., Chakravarty, D. 2003. Rock mass characterization using fractals. National Conference on nonlinear systems and dynamics, India, 217-220.
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  8. Belem, T., Homand-Etienne, F., Souley, M. 1997. Fractal analysis of shear joint roughness.International Journal of Rock mechanics and mining sciences. Vo.34, 1-11.
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  9. Kolymbas, D. 2003. Fractals in geotechnical engineering. Exploratory Workshop, Innsbruck, 1-147
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  10. Badge, M.N., Raina, A.K., Chakraborty, A.K., Jethwa, J.L. 2002. Rock mass characterization by fractal dimension. Engineering geology 63, 141-155.
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