A Nonlinear Energy Analysis for Cracked Lamina of Fibre-Reinforced Composite Material

Abstract

The general G-K relation has been obtained and the nonlinear energy method generalized to analyzing the mixed mode fracture problem by W. Shen and James D. Lee. For the special case in which the line crack is perpendicular to one of the major loading axes, it has been found that the linear energy release rate is independent of the biaxial load factor while the nonlinear energy rate depends on it. In this paper, based on the nonlinear energy method for mixed mode fracture, the calculations for the pro cess of the nonlinear rate of off-axis cracked lamina of composite material subjected to biaxial loading have been performed. In addition, several examples have been given to explain the influence of fiber-orientation, biaxial loading factor and how the nonlinear correction factors vary with changes of the applied load.

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References

Griffith, A.A. , "Philosophical Transaction of the Royal Society of London," Series A, Vol. 221, pp. 163-198 (1921).

Irwin, G.R. , "Transaction of ASME," J. of Applied Mechanics, Vol. 24, pp. 361-364 (1957).

Irwin, G.R. , "Transaction of ASME," J. of Bas. Eng., pp. 417-425 (1960).

Liebowitz, H. and Eftis, J. , Eng. Fracture Mech., Vol. 3, p. 267 (1971).

Liebowitz, H. and Jones, D.L. , 10th Ann. Meet. Soc. Eng. Sci., Raleigh, North Carolina (1973).

Jones, D.L. , Liebowitz, H. and Eftis, J. , Eng. Fracture Mech., Vol. 6 (1974 ).

Eftis, J. and Liebowitz, H. Eng. Fracture Mech., Vol. 7 (1975 ).

Jones, D.L. , Poulose, P.K. , Eftis J. and Liebowitz, H. , Eng. Fracture Mech., Vol. 10 (1978 ).

Jones, D.L. , Lee, J.D. and Liebowitz, H. , Advances in Fracture Research (5th International Conference on Fracture), Vol. 4, edited by D. Francois, p. 1769 (1981).

10.

Rice, J.R. , J. of Applied Mech., Trans. of ASME, pp. 379-386 (1968).

11.

Rice, J.R. , Fracture, Vol. II, H. Liebowitz Ed., pp. 191-311 (1968).

12.

Shen, W. and Lee, J.D. , Eng. Fracture Mech., Vol. 6 (1982 ).

13.

Tsai, S.W. and Hahn, H.T. , Introduction to Composite Materials, Technomic Publishing Co. (1980).

14.

Agarwal, B.D. and Broutman, L.J. , Analysis and Performance of Fibre Composites , A Wiley-Inter-Science publication ( 1980).

15.

Sih, G.C. and Liebowitz, H. , Fracture, Vol. II, H. Liebowitz Ed., (1968).

16.

Sih, G.C. , Handbook of Stress Intensity Factor, Institute of Fracture and Solid Mechanics, Lehigh Univ. (1975).