Diffraction coefficients of a semi-infinite planar crack embedded in a transversely-isotropic space

TL;DR

This paper derives closed-form expressions for diffraction coefficients of a semi-infinite crack in a transversely isotropic medium, relevant for non-destructive evaluation of materials like austenitic steels in nuclear reactors.

Contribution

It provides new analytical solutions for diffraction coefficients in specific crack orientations within transversely isotropic materials, aiding nondestructive testing.

Findings

Closed-form expressions for scattered fields

Computed diffraction coefficients for special cases

Applicable to non-destructive evaluation of steels

Abstract

We have considered a semi-infinite crack embedded in a transversely isotropic medium and studied two special cases, one, in which the axis of symmetry is normal to the crack face and the wave incidence is arbitrary and another, in which the axis lies in the crack plane normal to the edge and the incident wave vector is also normal to the edge. The problem is of interest in Non-Destructive Evaluation, because austenitic steels that are found in claddings and other welds in the nuclear reactors are often modeled as transversely isotropic. In both of cases, we have expressed the scattered field in a closed form and computed the corresponding diffraction coefficients.