Abstract
This paper presents the results of an experimental and theoretical investigation that studies the scattering of longitudinal elastic waves by a distribution of cracks. The experimental portion measures the transmission coefficients at imperfect interfaces using a high fidelity heterodyne interferometer. Specimens are manufactured with known distributions of cracks that vary from 0% (perfect interface) to 24%. Incident longitudinal elastic waves are generated with a broadband, contact piezoelectric transducer and the backscattered wave field is measured with the interferometer. The theoretical analysis examines the interaction of elastic waves with a distribution of cracks using a differential self-consistent scheme in conjunction with Auld's formula for backscattering. In this model the multiple scattering problem from a distribution of cracks is reduced to finding the crack opening displacement of a single crack. Transmission coefficients are presented as functions of incident wave-number, flaw size and percentage of defects. The experimentally measured values are compared with the theoretically predicted results and excellent agreement is obtained.
| Original language | English |
|---|---|
| Pages (from-to) | 37-43 |
| Number of pages | 7 |
| Journal | Ultrasonics |
| Volume | 33 |
| Issue number | 1 |
| DOIs | |
| State | Published - 1995 |
Keywords
- differential self-consistent scheme
- laser interferometry
- non-destructive evaluation
- transmission coefficients
- ultrasonic inspection
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