Location

La Jolla, CA

Start Date

1-1-1998 12:00 AM

Description

The estimation of the multiple scattering effect for distributed defects is one of the important problems for the ultrasonic damage evaluation of structural components. The effect of the multiple scattering for cracks in the three-dimensional elastic body is discussed in this study. The multiple scattering problem is formulated first by the boundary integral equations. The Born series algorithm is introduced in the process to solve the boundary integral equations. In the numerical analysis, an advantageous feature of the Born series strategy is used to save the memory of the 3D calculations for multiple scattering problems. The numerical convergence of the Born series integral equation is examined and the effect of the multiple scattering is discussed for the scattering cross-section of two adjacent plane circular cracks.

Book Title

Review of Progress in Quantitative Nondestructive Evaluation

Volume

17A

Chapter

Chapter 1: Standard Techniques

Section

Elastic Wave Scattering/Backscattering

Pages

33-40

DOI

10.1007/978-1-4615-5339-7_4

Language

en

File Format

application/pdf

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Jan 1st, 12:00 AM

Multiple Scattering Calculations by Born Series Integral Equations

La Jolla, CA

The estimation of the multiple scattering effect for distributed defects is one of the important problems for the ultrasonic damage evaluation of structural components. The effect of the multiple scattering for cracks in the three-dimensional elastic body is discussed in this study. The multiple scattering problem is formulated first by the boundary integral equations. The Born series algorithm is introduced in the process to solve the boundary integral equations. In the numerical analysis, an advantageous feature of the Born series strategy is used to save the memory of the 3D calculations for multiple scattering problems. The numerical convergence of the Born series integral equation is examined and the effect of the multiple scattering is discussed for the scattering cross-section of two adjacent plane circular cracks.