TY - JOUR
T1 - Experimental and theoretical investigation of scattering from a distribution of cracks
AU - Littles, Jerrol W.
AU - Jacobs, Laurence J.
AU - Qu, Jianmin
PY - 1995
Y1 - 1995
N2 - 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.
AB - 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.
KW - differential self-consistent scheme
KW - laser interferometry
KW - non-destructive evaluation
KW - transmission coefficients
KW - ultrasonic inspection
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U2 - 10.1016/0041-624X(95)00037-4
DO - 10.1016/0041-624X(95)00037-4
M3 - Article
AN - SCOPUS:0029208768
SN - 0041-624X
VL - 33
SP - 37
EP - 43
JO - Ultrasonics
JF - Ultrasonics
IS - 1
ER -