Abstract
Second-order nonlinearity causes acoustic waves of shear-horizontal polarization to couple to sagittal components of the displacement field. This coupling is usually nonresonant and merely alters the effective nonlinearity parameter in the equation governing the nonlinear evolution of guided acoustic waves which, in the linear limit, are of purely shear-horizontal polarization. Using plate modes as an example, we demonstrate how in the neighbourhood of a resonance of a fundamental wit its second harmonic, the effect of second-order nonlinearity greatly exceed those of the third-order nonlinearity which are the dominant nonlinear effects when only shear-horizontal displacements are considered.
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