# Diffraction Coefficients of a Semi-Infinite Planar Crack Embedded in a Transversely-Isotropic Space

## Abstract

We develop a semi-analytical procedure for calculating the diffraction coefficients for cracks perpendicular to the symmetry axis of a transversely-isotropic medium. The problem is of interest in the mathematical modeling of NDE (non-destructive evaluation) of austenitic steels, which are found in claddings and other welds in the nuclear reactors and can be modelled as transversely isotropic.

- Authors:

- Departament of Mathematics, Iowa State University (United States)
- Waves and Fields Research Group, Faculty of Engineering, Science and Built Environment, London South Bank University (United Kingdom)

- Publication Date:

- OSTI Identifier:
- 21054976

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: AIP Conference Proceedings; Journal Volume: 894; Journal Issue: 1; Conference: Conference on review of progress in quantitative nondestructive evaluation, Portland, OR (United States), 30 Jul - 4 Aug 2006; Other Information: DOI: 10.1063/1.2718025; (c) 2007 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 36 MATERIALS SCIENCE; AUSTENITIC STEELS; CLADDING; CRACKS; DETECTION; DIFFRACTION; EVALUATION; MATHEMATICAL MODELS; NONDESTRUCTIVE TESTING; NUMERICAL ANALYSIS; REACTOR MATERIALS; SYMMETRY; WELDED JOINTS

### Citation Formats

```
Gautesen, A., Fradkin, L., and Zernov, V.
```*Diffraction Coefficients of a Semi-Infinite Planar Crack Embedded in a Transversely-Isotropic Space*. United States: N. p., 2007.
Web. doi:10.1063/1.2718025.

```
Gautesen, A., Fradkin, L., & Zernov, V.
```*Diffraction Coefficients of a Semi-Infinite Planar Crack Embedded in a Transversely-Isotropic Space*. United States. doi:10.1063/1.2718025.

```
Gautesen, A., Fradkin, L., and Zernov, V. Wed .
"Diffraction Coefficients of a Semi-Infinite Planar Crack Embedded in a Transversely-Isotropic Space". United States.
doi:10.1063/1.2718025.
```

```
@article{osti_21054976,
```

title = {Diffraction Coefficients of a Semi-Infinite Planar Crack Embedded in a Transversely-Isotropic Space},

author = {Gautesen, A. and Fradkin, L. and Zernov, V.},

abstractNote = {We develop a semi-analytical procedure for calculating the diffraction coefficients for cracks perpendicular to the symmetry axis of a transversely-isotropic medium. The problem is of interest in the mathematical modeling of NDE (non-destructive evaluation) of austenitic steels, which are found in claddings and other welds in the nuclear reactors and can be modelled as transversely isotropic.},

doi = {10.1063/1.2718025},

journal = {AIP Conference Proceedings},

number = 1,

volume = 894,

place = {United States},

year = {Wed Mar 21 00:00:00 EDT 2007},

month = {Wed Mar 21 00:00:00 EDT 2007}

}

DOI: 10.1063/1.2718025

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