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Application of 3 D phase congruency in crack identification within materials

Previously the two dimensional Phase Congruency (2DPC) was introduced and shown to be a powerful tool for identification of cracks using surface displacement measurement [1]. It is a local measure of feature significance, which mathematically imitates the pattern recognition algorithm that human brain adopts and as such suitable for identifying anomalies in continuum displacement fields such as those arising from cracks. In this research, an expanded version of our work to three dimensions is presented. This novel approach, i.e. 3D phase congruency (3DPC), characterizes cracks in volumetric displacements that can be measured experimentally using X-ray tomography and digital volume correlation. A 3D crack geometry construction model is introduced, which considers crack opening displacement (COD) of all three displacement components throughout the three dimensional crack geometry. Using the identified crack geometry, 3D crack surfaces and front are obtained which provides invaluable information for fracture studies within materials such as the interaction of the crack with microstructure within the material.