Summary
The interfacial debonding is observed as the earliest form of damage in reinforced composite materials. In this paper is considered the crack initiated from the ends of the partially debonded surfaces of a flat inclusion in the framework of the two-dimensional theory of elasticity. The analysis is based on the singular point method. The flat inclusion is simulated by a continuous distribution of concentrated forces since it is of very small thickness. The initiated cracks are replaced by continuous distributions of edge dislocations. Then we obtain a system of singular integral equations with Cauchy kernels. The solution is assumed in the form of the product of an unknown function and the weight function of Jacobi polynomials, and is determined by using a collocation method. Numerical calculations are carried out for the energy release rate and the crack initiation from the ends of the debonded surfaces is discussed. The maximum energy release rate and its direction for Poisson's ratio of matrices are shown in figures.
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Tamate, O., Sekine, H. & Ozawa, Y. Crack initiation from the ends of partially debonded surfaces of a flat inclusion. Acta Mechanica 50, 59–70 (1983). https://doi.org/10.1007/BF01170441
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DOI: https://doi.org/10.1007/BF01170441