TY - GEN
T1 - Reflection of elastic waves by a randomly cracked interface
AU - Qu, Jianmin
PY - 1993
Y1 - 1993
N2 - In this paper, the reflection of plane elastic waves by an array of interface cracks is considered. It is assumed that the interface cracks are randomly distributed along the interface between two dissimilar elastic solids. The distribution is characterized by the crack distribution density, which is treated as a random variable. By the use of a differential self-consistent scheme in conjunction with the backscattering signal strength formula, the multiple scattering problem from a distribution of interface cracks is reduced to a problem of finding the crack opening displacement of a single interface crack. Once this single scatterer problem is solved (numerically), the effective reflection and transmission coefficients are obtained by solving a simple differential equation. Numerical examples are presented for the reflection coefficient under normal incidence of plane, time harmonic waves. Several statistical distributions of the interface cracks are studied for various incident frequencies. Finally, Monte Carlo simulations are performed to compare the statistical models.
AB - In this paper, the reflection of plane elastic waves by an array of interface cracks is considered. It is assumed that the interface cracks are randomly distributed along the interface between two dissimilar elastic solids. The distribution is characterized by the crack distribution density, which is treated as a random variable. By the use of a differential self-consistent scheme in conjunction with the backscattering signal strength formula, the multiple scattering problem from a distribution of interface cracks is reduced to a problem of finding the crack opening displacement of a single interface crack. Once this single scatterer problem is solved (numerically), the effective reflection and transmission coefficients are obtained by solving a simple differential equation. Numerical examples are presented for the reflection coefficient under normal incidence of plane, time harmonic waves. Several statistical distributions of the interface cracks are studied for various incident frequencies. Finally, Monte Carlo simulations are performed to compare the statistical models.
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M3 - Conference contribution
AN - SCOPUS:0027885712
SN - 0791810437
T3 - American Society of Mechanical Engineers, Applied Mechanics Division, AMD
SP - 223
EP - 238
BT - Ultrasonic Characterization and Mechanics of Interfaces
A2 - Siginer, Dennis A.
A2 - VanArsdale, William E.
A2 - Altan, Cengiz M.
A2 - Alexandrou, Andreas N.
T2 - Proceedings of the 1993 ASME Winter Annual Meeting
Y2 - 28 November 1993 through 3 December 1993
ER -