Abstract

The possibility to enhance the efficiency of ultrasonic nondestructive testing making use of non-linear effects of wave propagation is investigated theoretically. The quasi one-dimensional problem of non-linear longitudinal wave propagation in elastic medium undergoing inhomogeneous plane prestrain is solved. The solution establishes the relations between the physical and geometrical properties of the medium, parameters of its predeformed state and the characteristics of the wave with smooth arbitrary initial profile. The non-linear sine-wave propagation in the medium with two traction-free surfaces is considered in more detail. The algorithm for evaluation of the parameters of plane strain on the basis of wave velocity and its profile evolution measurement data is proposed.

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