Abstract
Nonlinearity parameter which is expressed as the combination of second and third order elastic constants for solids is the first nonlinear term in the analysis. This nonlinearity parameter can be determined either from the second harmonic generation of a finite amplitude ultrasonic wave or from the so-called acousto-elastic effect, i.e. from the stress dependence of the sound velocity. There are several indications that higher than third order elastic constants could play a role in material characterization, e.g. fourth and fifth order elastic constants enter in the temperature dependence of velocity as functions of stress. Two experimental techniques are presented which are modifications of the acousto-elastic effects to measure second order nonlinearities (related to fourth order elastic constants).
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