Abstract
We consider an elastic orthotropic material representing a fiber reinforced composite. The composite is prestressed and contains two collinear cracks having different lengths. The faces of the cracks are acted by symmetrically distributed constant normal incremental stresses. We determine the critical values of the applied incremental stresses for which the cracks tips start to propagate and we analyse the interaction of the cracks as function of their lengths and of the distance between the cracks.
Similar content being viewed by others
References
Guz, A.N. (1983). Mechanics of Brittle Fracture of Prestressed Materials, Visha Shcola, Kiev (in Russian).
Guz, A.N. (1986). The Foundation of the Three Dimensional Theory of the Stability of Deformable Bodies, Visha Shcola, Kiev (in Russian).
Guz, A.N. (1989). Fracture Mechanics of Composite Materials Acted by Compression, Naukova Dumka, Kiev (in Russian).
Guz, A.N. (1991). Brittle Fracture of Materials with Initial Stresses, Naukova Dumka, Kiev (1991) (in Russian).
Janke, E., Emde, F. and Losch, F. (1960). Tafeln höherer Functionen, Teubner, Stuttgart.
Kachanov, L.M. (1974). Fundamentals of Fracture Mechanics, Nauka, Moscow (in Russian).
Leblond, J.B. (1991). Mécanique de la Rupture, école Polytechnique, Paris.
Muskhelishvili, N.I. (1953). Some Basic Problems of the Mathematical Theory of Elasticity, Noordhoff Ltd., Groningen.
Rice, J.R. (1968). Mathematical analysis in the mechanics of fracture. Fracture – An Advanced Treatise, Vol. II, Mathematical Fundamentals(Edited by H. Leibowitz), Academic Press, New York, 192–314.
Sih, G.C. and Leibowitz, H. (1968). Mathematical theories of brittle fractures. Fracture – An Advanced Treatise, Vol. II, Mathematical Fundamentals(Edited by H. Leibowitz), Academic Press, New York, 68–591.
Slepian, L.I. (1981). Mechanics of Cracks, Sudostroenie, Leningrad (in Russian).
Sneddon, I.N. and Lowengrub, M. (1969). Crack Problems in the Classical Theory of Elasticity, John Wiley and Sons, Inc., New York.
Soós, E. (1996). Resonance and stress concentration in a prestressed elastic solid containing a crack. An apparent paradox. International Journal of Engineering Science 34, 363–374.
Tranter, C.J. (1961). The opening of a pair of coplanar Griffith's cracks under internal pressure. Quarterly Journal of Mechanics and Applied Mathematics 13, 269–280.
Willmore, T.J. (1949). The distribution of stress in the neighborhood of a crack. Quarterly Journal of Mechanics and Applied Mathematics 2, 53–60.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
GrĂciun, E., Soós, E. Interaction of two unequal cracks in a prestressed fiber reinforced composite. International Journal of Fracture 94, 137–159 (1998). https://doi.org/10.1023/A:1007549317153
Issue Date:
DOI: https://doi.org/10.1023/A:1007549317153