An approximate elasticity theory solution is given for the stress-strain relations of a cracked composite lamina. These relations are written in the familiar form of two- dimensional compliances appropriate for use with laminated plate theory, and include the effects of non-mechanical strains. It is shown explicitly that the cracked lamina com pliances depend upon the overall laminate construction in which the lamina is contained.
Get full access to this article
View all access options for this article.
References
1.
Hahn, H.T. and S.W. Tsai. "On the Behavior of Composite Laminates After Initial Failures ," J. Composite Materials, pp. 288-305 (1974).
2.
Garrett, K.W. and J.E. Bailey. "Multiple Transverse Fracture in 90° Cross-Ply Lamina of a Glass Fibre-Reinforced Polyester," J. Materials Science, pp 157-168 (1977)
3.
Reifsnider, K.L. and A. Talug. "Characteristic Damage States in Composite Laminates ," Research Workshop: Mechanics of Composite Materials , Duke University, pp. 147-178 (1978).
4.
Parvizi, A., K.W. Garrett and J.E. Bailey. "Constrained Cracking in Glass Fibre-Reinforced Epoxy Cross-Ply Laminates," J. Materials Science, pp. 195-201 (1978).
5.
Bader, M.G., J.E. Bailey, P.T. Curtis and A. Parvizi "The Mechanisms of Imtiation and Development of Damage in Multi-Axial Fibre-Reinforced Plastic Laminates," ICCM3, 3:227-239, Cambndge, England (August 1979).
6.
Wang, S.D. and F.W. Crossman. "Initiation and Growth of Transverse Cracks and Edge Delamination in Composite Laminates. Part 1 An Energy method," J. Composite Materials, p. 71 ( 1980).
7.
Flaggs, D.L. and M.H. Kural. "Experimental Determination of the In Situ Transverse Lamina Strength in Graphite/Epoxy Laminates," J. Composite Materials, pp. 103-116 (1982)
8.
Nuismer, R.J. and S.C. Tan. "The Role of Matrix Cracking in the Continuum Constitutive Behavior of a Damaged Composite Ply," Proceedings of the IUTAM Symposium on Mechanics of Composite Material, VPI & SUBlacksburg, VA (August 16-19, 1982).
9.
Laws, N., G.J. Dvorak and M. Hejazi. "Stiffness Changes in Unidirectional Composites Caused by Crack Systems," Mechanics of Materials, p. 123 (1983).
10.
Peters, P. W. M. "The Strength Distribution of 90° Plies in 0/90/0 Graphite-Epoxy Laminates," J. Composite Materials , pp. 545-556 (1984).
11.
Flaggs, D.L. "Prediction of Tensile Matrix Failure in Composite Laminates," J. Composite Materials, pp. 29-50 (1985).
12.
Dvorak, G.J. , N. Laws and M. Hejazi. "Analysis of Progressive Matrix Cracking in Composite Laminates, I. Thermoelastic Properties of a Ply with Cracks," J. Composite Materials, pp. 216-234 (1985).
13.
Hegemier, G.A. , G.A. Gurtman and A.H. Nayfeh. "A Continuum Mixture Theory of Wave Propagation in Laminated and Fiber Reinforced Composites ;' Int. J. Solids Structures, pp. 395-414 (1973)
14.
Nayfeh, A.H. "Thermomechanically Induced Interfacial Stresses in Fibrous Composites ," Fibre Science and Technology, pp. 195-209 (1977).
15.
Nuismer, R.J. "Continuum Modeling of Damage Accumulation and Ultimate Failure in Fiber Reinforced Laminated Composite Materials," Research Workshop: Mechanics of Composite Materials, pp 55-77 (1978).
16.
Tan, S.C.Matrix Cracking in Composites and Its Effects on Damaged Ply Constitutive Behavior, Ph.D. Thesis, University of Utah (1983).
