Summary
Fracture of a hybrid laminate containing a pair of collinear cracks in the central layer is studied. The surfaces of the cracks are opened by an arbitrary opening pressure. The problem is reduced to the solution of the Fredholm integral equation of the second kind by using the techniques of the Fourier transforms and the finite Hilbert transform.
In the case of an uniform opening pressure, the exact expressions for the stress intensity factors in the inner tip and the outer tip of the cracks and the shape of the deformed crack are obtained. Numerical calculations are carried out to study the interaction between the cracks and the effects of the hybrid lamination on the fracture of the hybrid laminate.
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References
Hancox, N. L.: Introduction to fibre composite hybrids. In: Fibre composite hybrid materials (Hancox N. L., ed.) London: Applied Science 1981.
Sih, G. C., Chen, E. P.: Cracks in composite materials. Netherlands: Martinus Nijhoff 1981.
Erdogan, F., Gupta, G.: The stress analysis of multi-layered composites with flaw. International Journal of Solids and Structures7, 39–61 (1971).
Dhaliwal, R. S.: Two coplanar cracks in an infinitely long elastic strip bonded to semi-infinite elastic planes. International Journal of Engineering Science11, 489–500 (1973).
Lin, W. H., Tsai, Y. M.: Fracture of an orthotropic strip containing a pair of coplanar cracks perpendicular to the edges of the strip. In: Composites and other new materials for PVP: design and analysis considerations (Hui, D., Kozik, T. J., Widera, G. E. O., Shiratori, M., eds.), ASME, New York, PVP-174, 83–90 (1989).
Srivastava, K. N., Lowengrub, M.: Finite Hilbert transform technique for triple integral equations with trigonometric kernels. Proceedings of the Royal Society of Edinburgh68, 309–321 (1968).
Krenk, S.: Stress distribution in an infinite anisotropic plate with collinear cracks. International Journal of Solids and Structures11, 449–460 (1975).
Sih, G. C., Paris, P. C., Irwin, G. R.: On cracks in rectilinearly anisotropic bodies. International Journal of Fracture Mechanics1, 189–203 (1965).
Tweed, J.: The determination of stress intensity factors of a pair of coplanar Griffith cracks whose surfaces are loaded asymmetrically. Engineering Fracture Mechanics3, 381–402 (1971).
Tsai, S. W., Hahn, H. T.: Introduction to composite materials. Westport, Connecticut: Technomics 1980.
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Lin, W.H., Tsai, Y.M. Fracture of hybrid laminates containing a pair of collinear cracks in the central layer. Acta Mechanica 82, 159–173 (1990). https://doi.org/10.1007/BF01173625
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DOI: https://doi.org/10.1007/BF01173625