Abstract
It is known that ultrasound can be used to measure the constant in time deformations and residual stresses, through the acoustoelasticity effect. The method presented here is different from this principle. It is based on the non-resonant parametric interaction of elastic waves and enables measurement of the dynamic deformation in elastic media. The aim of this work is to investigate the interaction of waves in non-linear elastic media with the deformation fields in parametric approximation and to create a method that permits observation (in three-dimensions) of the dynamic stress-state of the opaque elements of a structure. In particular, interest in the solution of this problem arises for high-frequency non-stationary loading on the structure, when it is impossible to determine the internal stress-state of the elastic body by measurement of the vibration of its surface. The solution to this is found by using ultrasonic waves as a type of transducer that can freely penetrate the elastic body in the necessary direction.
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