We study the interaction of two unequal collinear cracks in a pre-stressed fiber reinforced elastic composite in Modes I and II of classical fracture. Using the theory of Riemann — Hilbert problem, Plemelj's function and the theory of Cauchy's integral we decide which tip of the crack will start to propagate first. We generalize Sih's fracture criterion for Modes I, II and we determine the direction of propagation for two transversally isotropic materials, graphite/epoxy and aramid/epoxy. The resonance phenomenon is studied in the case of unequal collinear cracks.
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Craciun, E.M. (2009). Energy Criteria For Crack Propagation In Pre-Stressed Elastic Composites. In: de Borst, R., Sadowski, T. (eds) Lecture Notes on Composite Materials. Solid Mechanics And Its Applications, vol 154. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-8772-1_7
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DOI: https://doi.org/10.1007/978-1-4020-8772-1_7
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