#### Location

Santa Cruz, CA

#### Start Date

1-1-1984 12:00 AM

#### Description

Crack diffraction in a transversely isotropic material is analyzed. The solution is given for the diffracted field generated by incidence of a plane time-harmonic wave on a semi- infinite crack located in a plane normal to the axis of symmetry of the material. The exact solution is obtained by Fourier integral methods and the Wiener-Hopf technique. The diffraction coefficients have been used in the context of the geometrical theory of diffraction to compute high-frequency scattering by a crack of finite length. Applications to scattering by delamina- tions in a medium of periodic layering have been considered for the case that the wavelength and the crack length are of the same order of magnitude, but both are much larger than the larger layer thickness.

#### Book Title

Review of Progress in Quantitative Nondestructive Evaluation

#### Volume

3A

#### Chapter

Chapter 2: Ultrasonics

#### Section

Scattering

#### Pages

133-141

#### DOI

10.1007/978-1-4684-1194-2_12

#### Copyright Owner

Springer-Verlag US

#### Copyright Date

January 1984

#### Language

en

#### File Format

application/pdf

Crack-Tip Diffraction in a Transversely Isotropic Solid

Santa Cruz, CA

Crack diffraction in a transversely isotropic material is analyzed. The solution is given for the diffracted field generated by incidence of a plane time-harmonic wave on a semi- infinite crack located in a plane normal to the axis of symmetry of the material. The exact solution is obtained by Fourier integral methods and the Wiener-Hopf technique. The diffraction coefficients have been used in the context of the geometrical theory of diffraction to compute high-frequency scattering by a crack of finite length. Applications to scattering by delamina- tions in a medium of periodic layering have been considered for the case that the wavelength and the crack length are of the same order of magnitude, but both are much larger than the larger layer thickness.