Location

La Jolla, CA

Start Date

1-1-1993 12:00 PM

Description

The object of this work is to calculate the T (transition) matrix for a circular crack in a homogeneous, isotropic, linear elastic medium. The T matrix method is a building block technique for multiple scattering, where the T matrix is calculated for each scatterer separately without prior knowledge of the other scatterers (cracks, inclusions, surfaces, etc.).This means that we solve the scattering problem for arbitrary incoming time harmonic elastic waves. A solution for the scattering by an open circular crack can be found in [1], and for multiple scattering see [2]. On the crack surface the so called spring contact boundary conditions are assumed, enabling modelling of various cracktypes, such as the open crack, the fluid filled crack and a crack partly closed by a static background pressure. Numerical calculations of the scattering cross sections and the crack-scattered farfield amplitudes for incoming plane waves are given.

Book Title

Review of Progress in Quantitative Nondestructive Evaluation

Volume

12A

Chapter

Chapter 1: Development of Standard Techniques

Section

Elastic Wave Scattering

Pages

69-74

DOI

10.1007/978-1-4615-2848-7_8

Language

en

File Format

application/pdf

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Jan 1st, 12:00 PM

The T matrix for elastic scattering by a partly closed circular crack

La Jolla, CA

The object of this work is to calculate the T (transition) matrix for a circular crack in a homogeneous, isotropic, linear elastic medium. The T matrix method is a building block technique for multiple scattering, where the T matrix is calculated for each scatterer separately without prior knowledge of the other scatterers (cracks, inclusions, surfaces, etc.).This means that we solve the scattering problem for arbitrary incoming time harmonic elastic waves. A solution for the scattering by an open circular crack can be found in [1], and for multiple scattering see [2]. On the crack surface the so called spring contact boundary conditions are assumed, enabling modelling of various cracktypes, such as the open crack, the fluid filled crack and a crack partly closed by a static background pressure. Numerical calculations of the scattering cross sections and the crack-scattered farfield amplitudes for incoming plane waves are given.