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Part of the book series: Solid Mechanics and Its Applications ((SMIA,volume 84))

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Abstract

An analysis of fracture resistance mechanisms in several composite systems is presented. A description of the basics of the analytical method developed specifically for the analysis of fracture development in composites is presented as a unified approach to different composite systems. The method was applied to several composite systems, including composites formed from a brittle matrix reinforced by unidirectional fibers, composites consisting of a brittle matrix reinforced by ductile particles, and a metal matrix reinforced by ceramic fibers. The reinforcement mechanisms in these composites are based on the formation of a system of restrictive forces imposed on the crack surfaces by reinforcing components. The region where these restrictive forces are activated is represented as a line process zone. A classical fracture mechanics modeling technique was employed, using the process zone concept and small or large-scale analysis. The distinctive characteristic of the described method is an explicit consideration in the analysis of the discrete distribution of the reinforcing components within the composite. The developed methodology allows one to obtain analytical solutions to the representative elasticity problems and to investigate detailed micromechanical aspects of the process.

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References

  • Ashby, M. E., Blunt, R. J. and Banister, M. (1989) FIow characteristics of highly constrained metal wires. Acta. Metal. 37(7), 1847–1857.

    Article  Google Scholar 

  • Aveston, J., Cooper, G. A. and Kelly, A. (1971) Single and multiple fracture, Conference on The Properties of Fiber Composites, National Physical Laboratory, Guildford, Suerey, ICP Science and Technology Press, pp. 15–26.

    Google Scholar 

  • Bao, G., and Hui, C.-Y. (1990) Effects of interface debonding on the toughness of ductile-particle reinforced ceramics. Int. J. Solids Structures. 26(5/6), 631–642.

    Google Scholar 

  • Bloyer, D. R., Venkateswara Rao, K. T. and Ritchie, R. O., (1996) Resistance-Curve Toughening in Ductile/Brittle Layered Structures: Behavior in Nb/Nb3 Al Laminates. Materials Science and Engineering A, 216, 80–90.

    Article  Google Scholar 

  • Botsis, J. and Shafiq, A. B., (1992) Crack growth characteristics of an epoxy reinforced with long aligned glass fibers, Int. J. Fracture, 58, R3–R11.

    Article  Google Scholar 

  • Budiansky, B., Amazigo, J. C., and Evans, A. G. (1988) Small scale crack bridging and the fracture toughness of particulate-reinforced ceramics. J. Mech. Phys. Solids. 36(2), 167–167.

    Google Scholar 

  • Budiansky, B. and Amazigo, J. C. (1989) Toughening by aligned, frictionally constrained fibers. J. mech. Phys. Solids 37, 93–109.

    Google Scholar 

  • Budiansky, B, and Cui, Y. L. (1994) On the tensile strength of a fiber-reinforced ceramic composite containing a crack-like flaw, J. mech. Phys. Solids, 42(1), 1–20.

    MathSciNet  Google Scholar 

  • Budiansky, B., Hutchinson, J. W. and Ewans, A. C. (1986) Matrix fracture in fiber reinforced ceramics. J. mech. Phys. Solids, 34, 167–189.

    Google Scholar 

  • Carter, W. C., Butler, E. P. and Fuller, E. R. Jr., (1991) Micro-mechanical aspects of asperity-controlled friction in fiber-toughened ceramic composites. Scripta Met. 25, 579–584.

    Google Scholar 

  • Dugdale, D. S., (1960) Yielding of steel sheets containing slits. Journal of the Mechanics and Physics of Solids, 8, 100–104.

    Article  Google Scholar 

  • Erdogan, F. and Joseph, P. F. (1989) Toughening of ceramics through crack bridging by ductile particles. J. Am. Ceram. Soc. 72(2), 262–270.

    Article  Google Scholar 

  • Marshall, D. B. and Cox, B. N. (1987) Tensile fracture of brittle matrix composites: influence of fiber strength. Acta Met., 35, 2607–2619.

    Google Scholar 

  • Marshal, P., and Price, J., (1991) Fibre/matrix interface property determination. Composites, 22(1), 53–57.

    Google Scholar 

  • Meda, G. and Steif, P. S. (1994a) A detailed analysis of cracks bridged by fibers-I. Limiting cases of short and long cracks. J. Mech. Phys. Solids. 42(8), 1293–1321.

    Google Scholar 

  • Meda, G. and Steif, P. S. (1994b) A detailed analysis of cracks bridged by fibers-II. Cracks of intermediate size. J. Mech. Phys. Solids. 42(8), 1323–1341.

    Google Scholar 

  • Muskhelishvili, N. I., (1963) Some basic problems of the theory of elasticity. Noordhoff, Groningen, Holland.

    Google Scholar 

  • Muskhelishvili, N. I., (1972) Singular Integral Equations. Noordhoff, Groningen, Holland.

    Google Scholar 

  • Mumm, D. R. and Faber, K. T., (1995) Interfacial debonding and sliding in brittle matrix composites measured using an improved fiber pullout technique. Acta Metall. Mat. 43(3), 1259–1270.

    Google Scholar 

  • Pagano, N. J. and Dharani, L. R. (1990) Micromechanical models for brittle matrix composites. Fiber reinforced ceramic composites. Materials, processing and technology. (K. S. Mazdiyasni, ed.) pp. 40–62.

    Google Scholar 

  • Rose, L. R. F. (1987) Crack reinforcement by distributed springs. J. mech. Phys. Solids 35, 383–405.

    MATH  MathSciNet  Google Scholar 

  • Rubinstein, A. A., (1985) Macrocrack interaction with semi-infinite microcrack array, International Journal of Fracture, 28, 113–119.

    Google Scholar 

  • Rubinstein, A. A., (1986) Macrocrack-microdefect interaction. J. Applied Mechanics, 53, 505–510.

    MATH  Google Scholar 

  • Rubinstein, A. A., (1987) Semi-infinite array of cracks in a uniform stress field. Engineering Fracture Mechanics, 26(1), 15–21.

    Article  Google Scholar 

  • Rubinstein, A. A., (1993) Micromechanical analysis of the failure process in ceramic matrix composites. Journal of Engineering for Gas Turbines and Power, Transactions of the ASME, 115, 122–126.

    Google Scholar 

  • Rubinstein, A. A., (1994) Strength of fiber reinforced ceramics on the basis of a micromechanical analysis. J. Mech. Phys. Solids. 42(3), 401–422.

    MATH  Google Scholar 

  • Rubinstein, A. A., (1997) Micromechanical Approach to Failure Process in Composites, Advances in Fracture Research. (B. L. Karihaloo, Y-W. May, M. I. Ripley and R. O. Ritchie, Editors) ICF9 Sydney, Australia, 2, 631–642. Pergamon.

    Google Scholar 

  • Rubinstein, A. A., (1998) Fracture Analysis of Composites by a Micromechanical Approach. Composites Science and Technology, 58, 1785–1792.

    Article  Google Scholar 

  • Rubinstein, A. A. and Xu, K. (1992) Micromechanical model of crack growth in fiber reinforced ceramics. J. Mech. Phys. Solids. 40(1), 105–125.

    Google Scholar 

  • Rubinstein, A. A., and Wang, P., (1996) Failure development in particulate composite, Durability and Damage Tolerance of Composite Materials. AD-Vol. 51/MD-Vol. 73, Proceeding of the ASME Aerospace and Materials Divisions, (Editors: W. S. Cham, M. L. Dunn, W. F. Jones, G. M. Newas, P. V. D. McLaughlin and R. C. Wethehold) Book No. G01026-1996, ASME, 415–425.

    Google Scholar 

  • Rubinstein, A. A., and Wang, P. (1998a) The fracture toughness of particulate-reinforced brittle matrix, J. Mech. Phys. Solids. 46(7), 1139–1159.

    Google Scholar 

  • Rubinstein, A. A., and Wang, P. (1998b) Micromechanics of failure in metal matrix composites. Transactions of the CSME, .22(4B). 457–465.

    MathSciNet  Google Scholar 

  • Sigl, L. S., Mataga, P. A., Dalgleish, B. J., McMeeking, R. M., and Evans A. G. (1988) On the toughness of brittle materials reinforced with a ductile phase. Avta Metall. 36(4), 945–953.

    Google Scholar 

  • Tvergard, V., (1992) Effect of ductile particle debonding during crack bridging in ceramics. In. J. Mech. Sci. 34(8), 635–649.

    Google Scholar 

  • Tvergard, V., (1995) On the micromechanics and fracture of ceramics. Fracture of Brittle Disordered Materials: Concrete, Rock and ceramics. edited by G. Baker and B. L. Karhaloo, F & FN Spon, London, UK, 361–375.

    Google Scholar 

  • Venkateswara Rao, K. T., Soboyejo, W. O., and Ritchie, R. O., (1992) Ductile-phase toughening and fatiguecrack growth in Nb-reinforced molybdenum disilicide intermetallic composites. Metallurgical Transactions A, 23A, 2249–2257.

    Google Scholar 

  • Wang, P., (1998) Micromechanical Analysis of Failure Development in a Class of Composite Materials, Ph. D. Dissertation, Tulane University.

    Google Scholar 

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© 2000 Kluwer Academic Publishers

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Rubinstein, A.A. (2000). Micromechanics of Failure in Composites. In: Chuang, T.J., Rudnicki, J.W. (eds) Multiscale Deformation and Fracture in Materials and Structures. Solid Mechanics and Its Applications, vol 84. Springer, Dordrecht. https://doi.org/10.1007/0-306-46952-9_20

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  • DOI: https://doi.org/10.1007/0-306-46952-9_20

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-0-7923-6718-5

  • Online ISBN: 978-0-306-46952-7

  • eBook Packages: Springer Book Archive

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