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In this paper the boundary collocation method is presented for computing the stress intensity factors for an internal crack in a finite anisotropic plate. The stress functions are assumed such that they can represent the stress singularity at the crack tips, satisfying not only the governing equations of the anisotropic plate theory in the domain, but also the stress-free conditions on the crack surfaces. Therefore, only the boundary conditions of the plate need to be considered, and they can be satisfied approximately by the Boundary Collocation Method. Numerical examples demonstrated that the proposed method gives satisfactory results compared with the existing solutions.

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In this paper an effective numerical method is presented for analyzing the stress intensity factors associated with the stress field near a partially debonded interface in a finite bi-material plate. The stress functions are assumed such that they can represent the stress singularity at the crack tips, satisfying not only the equilibrium equations in the domain, but also the stress and displacement conditions on the crack surfaces and across the interface. Therefore, only the boundary conditions of the plate need be considered, and they can be satisfied approximately by the Boundary Collocation Method. Numerical examples demonstrated that the proposed method gives satisfactory results and has many advantages compared to other methods.

The stress intensity factor (SIF) corresponding to two collinear cracks emanating from the internal boundary of a tube is calculated by boundary collocation method (BCM). Uniform internal pressure acts in the cylinder and on the crack surfaces or a uniform external tension on the outer boundary. For different ratios of the internal to the external radius, Ri/Re, and different ratios of the crack length to the cylinder thickness, 1/(Re−Ri), SIF values have been obtained. At the same time, the calculation shows that the convergence of the method is satisfactory.