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Elasto-Plastic Analysis for Cracked Fibrous Composites under Axial and Thermal Loads

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Inelastic Deformation of Composite Materials

Abstract

This investigation is concentrated on the analysis of existing matrix cracks in a brittle fiber-ductile matrix composite unit cell under tensile and/or cooling loads. An analytical formula for predicting the microstresses of a unit cell is presented. Longitudinal radial cracks and penny-shaped cracks as well located orthogonal to the fiber direction are studied.

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References

  • Achenbach, J.D. and Zhu, H., 1989, “Effect of interfacial zone on mechanical behaviour and failure of fiber reinforced composites”, Journal of the Mechanics and Physics of Solids Vol. 37, pp. 381–393.

    Article  Google Scholar 

  • Bahei-El-Din, Y.A., Dvorak, G.J. and Wu, J.F., 1989, “Fracture of fibrous metal matrix composites-II. Modeling and numerical analysis”, Engineering Fracture Mechanics Vol. 34, pp. 105–123.

    Article  Google Scholar 

  • Christensen, R.M., 1982, “Mechanical Properties of Composite Materials”, in Zvi Hashin and Carl T. Herakovich(Eds.), Mechanics of Composite Materials: Recent Advances, Pergamon Press, pp. 1–16.

    Google Scholar 

  • Dvorak, G.J. and Rao, M.S.M., 1976, “Thermal stresses in heat-treated fibrous composites”, Journal of Applied Mechanics Vol. 43, pp. 619–624.

    Article  Google Scholar 

  • Dvorak, G.J., Bahei-El-Din Y.A. and Bank, L.C., 1989, “Fracture of fibrous metal matrix composites-I. Experimental results”, Engineering Fracture Mechanics Vol. 34, pp. 87–104.

    Article  Google Scholar 

  • Ebert, L.J., Hecker, S.S and Hamilton, C.H., 1968, “The stress-strain behaviour of concentric composite cylinders”, Journal of Composite Materials Vol. 2, pp. 458–476.

    Article  Google Scholar 

  • Hashin, Z. and Rosen, B.W., 1964, “The elastic moduli of fiber reinforced materials”, Journal of Applied Mechanics Vol. 31, pp. 223–232.

    Article  Google Scholar 

  • Herrmann, K., 1978, “Interaction of cracks and self-stresses in a composite structure”, In J.W. Provan(Ed.), SM Study 12; Continuum Models of Discrete Systems, University of Waterloo Press, pp. 313–338.

    Google Scholar 

  • Herrmann, K. and Pawliska, P., 1986, “Finite element analysis of thermal crack growth in self-stressed fiber reinforced composites with partially plastified matrices”, International Journal of Fracture 31, R11–R16.

    Article  Google Scholar 

  • Herrmann, K. and Ferber, F., 1988, “Numerical and experimental investigations of branched thermal crack systems in self-stressed models of unidirectionally reinforced fibrous composites”, in S.N. Atluri(Ed.), Computational Mechanics 88, Springer, 3.V.1–8.V.4.

    Google Scholar 

  • Herrmann, K.P. and Mihovsky, I.M., 1988, “Approximate analytical investigation of the elastic-plastic behaviour of fibrous composites”, XVII International Congress of Theoretical and Applied Mechanics, Grenoble, France.

    Google Scholar 

  • Kassir, M.K. and Sih, G.C., 1975, Three-Dimensional Crack Problems, Mechanics of Fracture 2, Noordhoff International Publishing Leyden.

    Google Scholar 

  • Laws, N and Dvorak, G.J., 1987 “The effect of fiber breaks and aligned penny-shaped cracks on the stiffness and energy release rates in unidirectional composites”, International Journal of Solids and Structures Vol.23, pp. 1269–1283.

    Article  Google Scholar 

  • McCullough, R.L., 1982, “Influence of microstructure on the thermoelastic and transport properties of particulate and short fiber composites”, in Zvi Hashin and Carl T. Herakovich(Eds.), Mechanics of Composite Materials: Recent Advances, Pergamon Press, pp. 17–29.

    Google Scholar 

  • Nuismer, R.J. and Tan, S.C., 1982, “The role of matrix cracking in the continuum constitutive behaviour of a damaged composite ply”, In Zvi Hashin and Carl T. Herakovich(Eds.), Mechanics of Composite Materials: Recent Advances, Pergamon Press, pp. 437–448.

    Google Scholar 

  • Olster, E.F. and Jones, R.C., 1974, “Effect of interface on fracture”, in Arthur G. Metcalfe(Ed.), Interfaces in Metal Composites, Academic Press, pp. 245–284.

    Google Scholar 

  • Sendeckyj, G.P., Maddux, G.E. and Tracy, N.A., 1978, “Comparison of holographic, radiographic and ultrasonic techniques for damage defection in composite materials”, Proceedings of 2nd International Conference on Composite Materials, Toronto, pp. 1037–1056.

    Google Scholar 

  • Taya, M. and Chou, T.W., 1982, “Energy release rates of various microcracks in short-fiber composites”, In Zvi Hashin and Carl T. Herakovich, Mechanics of Composite Materials: Recent Advances, Pergamon Press pp. 457–472.

    Google Scholar 

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© 1991 Springer-Verlag New York Inc.

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Herrmann, K.P., Wang, Y.Q. (1991). Elasto-Plastic Analysis for Cracked Fibrous Composites under Axial and Thermal Loads. In: Dvorak, G.J. (eds) Inelastic Deformation of Composite Materials. International Union of Theoretical and Applied Mechanics. Springer, New York, NY. https://doi.org/10.1007/978-1-4613-9109-8_21

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  • DOI: https://doi.org/10.1007/978-1-4613-9109-8_21

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4613-9111-1

  • Online ISBN: 978-1-4613-9109-8

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