Based on the methodology of the 2D models presented at QNDE 2008 and QNDE 2009, this paper presents an extension to 3D of a model of ultrasonic testing for cracks near a non-planar back surface. The elastic wave scattering in a thick-walled component by an interior rectangular crack located near a back surface of arbitrary geometry is considered. The 3D wave scattering problem is solved using a hybrid boundary integral equation method (BIEM): a displacement boundary element method (BEM) for the back surface displacements is combined with an analytical technique for the hypersingular traction integral equation for the crack-opening displacements. The action of ultrasonic transducers in transmission and reception is taken into account in the model, and a few numerical examples illustrating the influence of the back surface geometry are given.
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