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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
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.
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.
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.
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.
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.
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.
Hashin, Z. and Rosen, B.W., 1964, “The elastic moduli of fiber reinforced materials”, Journal of Applied Mechanics Vol. 31, pp. 223–232.
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.
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.
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.
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.
Kassir, M.K. and Sih, G.C., 1975, Three-Dimensional Crack Problems, Mechanics of Fracture 2, Noordhoff International Publishing Leyden.
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.
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.
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.
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.
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.
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.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 1991 Springer-Verlag New York Inc.
About this paper
Cite this paper
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
Download citation
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
eBook Packages: Springer Book Archive