Abstract
A solution is presented for the problem of an interlaminar crack in a laminated fiber-reinforced composite material. The theory of anisotropic elasticity under a state of generalized plane deformation is employed as a basic framework of this study. In the analytical model, dissimilar anisotropic half-spaces with different fiber orientations which are bound together by a matrix interlayer are considered. The interlayer approximates the matrix-rich interlaminar region containing the crack. The stiffness matrix approach is utilized and the current crack problem is reduced to solving a system of singular integral equations. The singular response of an interlaminar crack to in-plane normal, in-plane shear, and anti-plane shear loadings is evaluated in terms of mixed-mode stress intensity factors. Under each of the leading conditions, the parametric effects of laminate stacking sequence, relative crack size, crack location, and fiber volume fraction are addressed.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
M. Gotoh, International Journal of Fracture 3 (1967) 253–265.
F. Erdogan and G.D. Gupta, International Journal of Solids and Structures 7 (1971) 1089–1107.
D.L. Clements, International Journal of Engineering Science 9 (1971) 257–265.
T.C.T. Ting, Journal of the Mechanics and Physics of Solids 38 (1990) 505–513.
C. Atkinson, International Journal of Fracture 13 (1977) 807–820.
J.R. Rice, ASME Journal of Applied Mechanics 55 (1988) 98–103.
K.-C. Wu, ASME Journal of Applied Mechanics 57 (1990) 882–886.
C. Hwu and J.S. Hu, Engineering Fracture Mechanics 42 (1992) 977–988.
M.G. Manoharan and C.T. Sun, Composites Science and Technology 39 (1990) 99–116.
G.R. Irwin, ASME Journal of Applied Mechanics 24 (1957) 361–364.
M. Comninou, ASME Journal of Applied Mechanics 44 (1977) 631–636.
F. Delale and F. Erdogan, ASME Journal of Applied Mechanics 55 (1988) 317–324.
S.S. Wang and I. Choi, ASME Journal of Applied Mechanics 50 (1983) 169–178.
K.-C. Wu and S.-J. Hwang, ASME Journal of Applied Mechanics 57 (1990) 894–900.
L. Ni and S. Nemat-Nasser, Journal of the Mechanics and Physics of Solids 39 (1991) 113–144.
H. Gao, International Journal of Fracture 55 (1992) R33-R39.
K. Nakagawa, T. Anma and S.-J. Duan, Engineering Fracture Mechanics 36 (1990) 439–449.
S.N. Chatterjee, International Journal of Solids and Structures 23 (1987) 1535–1549.
S. Thangjitham and H. J. Choi, International Journal of Solids and Structures 30 (1993) 963–980.
S.S. Wang and H.T. Wang, ASME Journal of Engineering Materials and Technology 101 (1979) 34–41.
H.J. Choi and S. Thangjitham, ASME Journal of Applied Mechanics 58 (1991) 382–387.
S.G. Lekhnitskii, Theory of Elasticity of an Anisotropic Body, Mir Publishers, Moscow (1981).
R.M. Jones, Mechanics of Composite Materials, Hemisphere Publishers, New York (1975).
H.J. Choi and S. Thangjitham, Composites Science and Technology 40 (1991) 289–305.
N.I. Muskhelishvili, Singular Integral Equations, Noordhoff, The Netherlands (1958).
F. Erdogan, in Mechanics Today, S. Nemat-Nasser (ed.), Pergamon Press 4 (1977) 1–86.
M. Abramowitz and I.A. Stegun (eds.), Handbook of Mathematical Functions, Dover, New York (1965).
C.C. Chamis, SAMPE Quarterly April (1984) 14–23.
H.J. Choi and S. Thangjitham, Engineering Fracture Mechanics 43 (1992) 487–500.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Chol, H.J., Thangjitham, S. The interlaminar crack-tip response in a fiber-reinforced composite laminate. Int J Fract 66, 121–138 (1994). https://doi.org/10.1007/BF00020078
Received:
Accepted:
Issue Date:
DOI: https://doi.org/10.1007/BF00020078