#### Event Title

Elastodynamic Optical Theorem for the Evaluation of Scattering Cross-Sections for a Crack

#### Location

Brunswick, ME

#### Start Date

1-1-1997 12:00 AM

#### Description

Scattering cross-sections are calculated for a crack in three-dimensional elastic solids. The crack opening displacements are evaluated first by the boundary element methods. Then the scattering amplitudes for the crack are derived from the far-field representations of the scattered fields. In the final step to calculate the scattering cross-sections from scattering amplitudes, two methods are compared. One is the method based on the definition and here the scattering cross-section is calculated from the integration of the differential cross-sections over the solid angle. The other is the method based on the elastodynamic counterpart of the optical theorem. It is verified that the results obtained from the elastodynamic optical theorem are accurate enough to evaluate the scattering cross-section for the crack in elastic solids.

#### Book Title

Review of Progress in Quantitative Nondestructive Evaluation

#### Volume

16A

#### Chapter

Chapter 1: Standard Techniques

#### Section

Elastic Waves

#### Pages

27-34

#### DOI

10.1007/978-1-4615-5947-4_4

#### Copyright Owner

Springer-Verlag US

#### Copyright Date

January 1997

#### Language

en

#### File Format

application/pdf

Elastodynamic Optical Theorem for the Evaluation of Scattering Cross-Sections for a Crack

Brunswick, ME

Scattering cross-sections are calculated for a crack in three-dimensional elastic solids. The crack opening displacements are evaluated first by the boundary element methods. Then the scattering amplitudes for the crack are derived from the far-field representations of the scattered fields. In the final step to calculate the scattering cross-sections from scattering amplitudes, two methods are compared. One is the method based on the definition and here the scattering cross-section is calculated from the integration of the differential cross-sections over the solid angle. The other is the method based on the elastodynamic counterpart of the optical theorem. It is verified that the results obtained from the elastodynamic optical theorem are accurate enough to evaluate the scattering cross-section for the crack in elastic solids.