Theory of elastic wave scattering: Applications of the method of optimal truncation
- 1 August 1985
- journal article
- Published by AIP Publishing in Journal of Applied Physics
- Vol. 58 (3) , 1102-1115
- https://doi.org/10.1063/1.336122
Abstract
The method of optimal truncation is developed and applied to a variety of rotationally symmetric defects in elastic materials. Results are presented for oblate and prolate spheroidal voids, cracks, irregularly shaped voids, and compound inclusions. Most of the examples are in the frequency domain, but samples of time-domain calculations are included. Physical interpretations of some features of the calculated amplitudes are given. Checks on accuracy of the results are emphasized and implemented.This publication has 10 references indexed in Scilit:
- Elastic wave scattering by a surface-breaking or subsurface planar crack. II. Three-dimensional geometryJournal of Applied Physics, 1985
- Elastic wave scattering by a surface-breaking or subsurface planar crackJournal of Applied Physics, 1984
- Elastic wave scattering from irregular voidsJournal of Applied Physics, 1983
- Calculation of the scattering of elastic waves from a penny-shaped crack by the method of optimal truncationWave Motion, 1981
- Scattering of elastic waves from planar cracks in isotropic mediaThe Journal of the Acoustical Society of America, 1981
- A new way to calculate scattering of acoustic and elastic waves. II. Application to elastic waves scattered from voids and fixed rigid obstaclesJournal of Applied Physics, 1980
- A new way to calculate scattering of acoustic and elastic waves. I. Theory illustrated for scalar wavesJournal of Applied Physics, 1980
- The Rayleigh hypothesis in the theory of diffraction by a cylindrical obstacleIEEE Transactions on Antennas and Propagation, 1979
- The Rayleigh hypothesis and a related least‐squares solution to scattering problems for periodic surfaces and other scatterersRadio Science, 1973
- Interaction of elastic waves with a penny-shaped crackInternational Journal of Engineering Science, 1970