2008/02/04 by A. Gautesen, A. K. Gautesen, V. Zernov +5
Engineering · Mathematics · Physics and Astronomy · #74B05 #74J20 #FOS: Physical sciences #Mathematical Physics (math-ph) #Numerical methods in engineering #Numerical methods in inverse problems #Ultrasonics and Acoustic Wave Propagation #math-ph #math.MP #msc:74B05 #msc:74J20
paper · pdf · doi:10.48550/arxiv.0802.0460
43 pages; 100 figures
openalex publication_date 2008/02/04 · arxiv created 2009/02/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.