applied fracture mechanics

64Applied Fracture Mechanics[18] Mccauley, Joseph L. (1993) Chaos, Dynamics and Fractals: An Algorithmic Approach ToDeterministic Chaos, Cambridge Nonlinear Science Series, Vol. 2, Cambridge England:Cambridge University Press.[19] Stanley, H. Eugene (1973) Introduction To Phase Transitions and Critical Phenomena.(Editors: Cooperative Phenomena Near Phase Transitions, a Bilbiography With SelectedReadings, Mit,). Cambridge, Massachusetts : Claredon Oxford[20] Uzunov, D. I. (1993) Theory of Critical Phenomena, Mean Field, Flutuactions andRenormalization. Singaore: World Scientific Publishing Co. Pte. Ltd.[21] Beck, C. and F. Schlögl (1993) Thermodynamics of Chaotic Systems: An Introduction,Cambridge Nonlinear Science Series, Vol. 4, Cambridge England: CambridgeUniversity Press,.[22] Meakin, Paul (1995) Fractal Growth: , Cambridge Nonlinear Science Series, Vol. 5,England: Cambridge University Press.[23] Vicsék, Tamás (1992) Fractal Growth Phenonmena. Singapore: World Scientific.[24] Sander, L. M. (1984) Theory of Fractal Growth Process In: F. Family, D. P. Landaueditors. Kinetics of Aggregation and Gelation. Amsterdam: Elsevier Science PublishersB. V. pp. 13-17.[25] Meakin, Paul (1993) The Growth of Rough Surfaces and Interfaces. Physics Reports.December 235(485): 189-289.[26] Pietronero, L.; Erzan, A.; Everstsz, C. (1988) Theory of Fractal Growth. Phys. Revol. Lett.15 August 61(7): 861-864.[27] Herrmann, Hans J.; Roux, Stéphane (1990) Statistical Models For the Fracture ofDisordered Media, Random Materials and Processes Series. H. Eugene Stanley andEtienne Guyon editors., Amsterdam: North-Holland.[28] Charmet, J. C. ; Roux , S and Guyon, E. (1990) Disorder and Fracture. New York: Plenum Press.[29] Meakin, Paul; Li, G.; Sander, L. M.; Louis, E.; Guinea, F. (1989) A Simple Two-Dimensional Model For Crack Propagation. J. Phys. A: Math. Gen. 22: 1393-1403.[30] Gross, Steven. P.; Jay. Fineberg, M. P. Marder, W. D. Mccormick and Harry. L. Swinney(1993) Acoustic Emissions From Rapidly Moving Cracks. Physical Review Letters. , 8November 71(19): 3162-3165.[31] Sharon, Eran; Steven Paul Gross and Jay Fineberg (1996) Energy Dissipation InDynamic Fracture. Physical Review Letters. 18 March, 76(12): 2117-2120.[32] Hausdorff F. (1919) Dimension Und Äußeres Maß. Mathematische Annalen March79(1–2): 157–179. Doi:10.1007/Bf01457179.[33] Besicovitch, A. S. (1929) On Linear Sets of Points of Fractional Dimensions.Mathematische Annalen 101.[34] Besicovitch, A. S. H. D. Ursell. (1937) Sets of Fractional Dimensions. Journal of theLondon Mathematical Society 12, 1937. Several Selections From This Volume AreReprinted In Edgar, Gerald A. (1993). Classics on Fractals. Boston: Addison-Wesley.Isbn 0-201-58701-7. See Chapters 9,10,11[35] Mandelbrot, Benoit B (1975) Fractal..[36] Mandelbrot, Benoit B (1977) Fractals: Form Chance and Dimension. San Francisco, Cal-USA: W. H. Freeman and Company.[37] Alves, Lucas Máximo (2012) Application of a Generalized Fractal Model For RuggedFracture Surface To Profiles of Brittle Materials. Paper in preparation.