TY - GEN
T1 - On the harmonic scattering amplitudes from a nonlinear elastic spherical inclusion
AU - Kube, Christopher M.
AU - Arguelles, Andrea P.
AU - McWilliams, Brandon
N1 - Publisher Copyright:
© 2018 Author(s).
PY - 2018/4/20
Y1 - 2018/4/20
N2 - In this paper, the interaction of an incident finite amplitude longitudinal wave with a localized region of nonlinearity is considered. This interaction produces a secondary field represented by a superposition of first-, second-, and third-harmonic components. The secondary field is solely a result of the quadratic and cubic elastic nonlinearity present within the region of the inclusion. The second-harmonic scattering amplitude depends on the quadratic nonlinearity parameter β, while the first- and third-harmonic amplitudes depend on the cubic nonlinearity parameter γ. The special cases of forward and backward scattering amplitudes were analyzed. For each harmonic, the forward-scattering amplitude is always greater than or equal to the backward scattering amplitude in which the equality is only realized in the Rayleigh scattering limit. Lastly, the amplitudes of the scattered harmonic waves are compared to predicted harmonic amplitudes derived from a plane wave model.
AB - In this paper, the interaction of an incident finite amplitude longitudinal wave with a localized region of nonlinearity is considered. This interaction produces a secondary field represented by a superposition of first-, second-, and third-harmonic components. The secondary field is solely a result of the quadratic and cubic elastic nonlinearity present within the region of the inclusion. The second-harmonic scattering amplitude depends on the quadratic nonlinearity parameter β, while the first- and third-harmonic amplitudes depend on the cubic nonlinearity parameter γ. The special cases of forward and backward scattering amplitudes were analyzed. For each harmonic, the forward-scattering amplitude is always greater than or equal to the backward scattering amplitude in which the equality is only realized in the Rayleigh scattering limit. Lastly, the amplitudes of the scattered harmonic waves are compared to predicted harmonic amplitudes derived from a plane wave model.
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U2 - 10.1063/1.5031556
DO - 10.1063/1.5031556
M3 - Conference contribution
AN - SCOPUS:85046422462
T3 - AIP Conference Proceedings
BT - 44th Annual Review of Progress in Quantitative Nondestructive Evaluation, Volume 37
A2 - Chimenti, Dale E.
A2 - Bond, Leonard J.
PB - American Institute of Physics Inc.
T2 - 44th Annual Review of Progress in Quantitative Nondestructive Evaluation, QNDE 2017
Y2 - 16 July 2017 through 21 July 2017
ER -