Abstract

The quadratic isoparametric element formulation of the boundary element method (BEM) for full anisotropy in two-dimensions is developed in this paper. It may be used for the analysis of composite structures. Quarter-point traction-singular crack-tip elements are introduced for treating fracture problems and analytical expressions for the stress intensity factors in terms of the BEM computed tractions or displacements on these elements are derived for cracked anisotropic bodies. This enables the fracture parameters to be accurately obtained in a quick and direct manner. A set of stress concentration problems and two other crack problems are considered to demonstrate the versatility and the modelling efficiency of this numerical method. Excellent agreement between the BEM results and those in the literature is obtained even with relatively coarse mesh discretisations. Some new results are also presented for the problem of an inclined crack near the free surface of a semi-infinite graphite epoxy sheet.

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