applied fracture mechanics

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Fractal Fracture Mechanics Applied to Materials Engineering 105[29] Borodich, F. M. (1994) Fracture energy of brittle and quasi-brittle fractal cracks. Fractalsin the Natural and Applied Sciences(A-41), Elsevier, North-Holland, 61–68.[30] Carpinteri, A.; Chiaia, B. (1996) Crack-Resistance as a Consequence of Self-SimilarFracture Topologies, International Journal of Fracture, 76: 327-340.[31] Bouchaud, E.; Bouchaud, J.P. (1994) Fracture Surfaces: Apparent Roughness, RelevantLength Scales, and Fracture Toughness. Physical Review B, 50(23): 17752–17755.[32] Mosolov, A.B.; Borodich, F.M. (1992) Fractal Fracture of Brittle Bodies DuringCompression, Sovol. Phys. Dokl., May. 37(5): 263-265.[33] Mosolov, A.B. (1993) Mechanics of Fractal Cracks In Brittle Solids, Europhysics Letters,10 December. 24(8): 673-678.[34] Anderson, T.L. (1995) Fracture Mechanics, Fundamentals and Applications. CRC Press,2th Edition.[35] Kanninen, M.F.; Popelar, C.H. (1985) Advanced Fracture Mechanics, the OxfordEngineering Science Series 15, Editors: A. Acrivos, et al. Oxford: Oxford UniversityPress. Chapter 7, p. 437.[36] Cherepanov, G.P.; Balankin, A.S.; Ivanova, V.S. (1995) Fractal fracture mechanics–Areview. Engineering Fracture Mechanics, 51(6): 997-1033.[37] Lung, C.W.; Mu, Z.Q. (1988) Fractal Dimension Measured with Perimeter Area Relationand Toughness of Materials, Physical Review B, 38(16): 11781-11784.[38] Lei, W.; Chen, B. (1995) Fractal Characterization of Some Fracture Phenomena, Eng.Fract. Mechanics. 50(2): 149-155.[39] Mandelbrot, B.B. (1991) Self-affine Fractals and Fractal Dimension. In: Family,Fereydoon. and Vicsék, Tamás editors. Dynamics of Fractal Surfaces. Singapore: WorldScientific. pp.19-39.[40] ASTM E813, (1989) Standard Test Method For Jic, A Measure of Fracture Toughness.[41] Mazzei, A.C.A. (1999) Estudo sobre a determinação de curva-R de compósitos cerâmicacerâmica.Tese de Doutorado, DEMA-UFScar.[42] ASTM D6068 - 10 (2002) Standard Test Method for Determining J-R Curves of PlasticMaterials, crack growth resistance, fracture toughness, JR curves, plastics, 96.[43] Alves, L.M.; Da Silva, R.V.; De Lacerda, L.A. (2010) Fractal Modeling of the J-R Curveand the Influence of the Rugged Crack Growth on the Stable Elastic-Plastic FractureMechanics, Engineering Fracture Mechanics, 77, pp. 2451-2466.[44] Zaiser, M.; Grasset, F.M.; Koutsos, V.; Aifantis, E.C. (2004) Self-Affine SurfaceMorphology of Plastically Deformed Metals, Phys. Rev. Lett. 93: 195507.[45] Weiss, J. (2001) Self-Affinity of Fracture Surfaces and Implications on a Possible SizeEffect on Fracture Energy. International Journal of Fracture. 109: 365–381.[46] Mishnaevsky Jr, L. (2000) Optimization of the Microstructure of Ledeburitic Tool Steels:a Fractal Approach. Werkstoffkolloquium (MPA, University of Stuttgart).[47] Fung, Y.C. (1969) A first course in continuum mechanics. N. J: Prentice-Hall, INC,Englewood Criffs.[48] Holian, B.L.; Blumenfeld, R.; Gumbsch, P. (1997) An Einstein Model of Brittle CrackPropagation. Phys. Rev. Lett. 78: 78–81, DOI: 10.1103/PhysRevLett.78.78.
106Applied Fracture Mechanics[49] Herrmann, H.J., Kertész, J.; De Arcangelis, L. (1989) Fractal Shapes of DeterministicCracks, Europhys. Lett. 10(2): 147-152.
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PrefaceKnowledge accumulated in the
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