Abstract
The interaction of two counterpropagating waves in an inhomogeneously prestressed material (a structural element) and in a physically nonlinear material with essentially changing continuous properties is studied theoretically. The influence of the parameters of a two-parametric prestressed state and the exponentially changing material properties on the profiles of boundary oscillations, evoked in the specimen with two parallel boundaries by the counterpropagating waves is clarified. Algorithms for qualitative and quantitative ultrasonic nondestructive characterization of two-parametric prestress and for qualitative characterization of essentially and exponentially changing properties of the elastic material with quadratic nonlinearity are proposed. Utilization of these algorithms in practical applications of ultrasonic nondestructive characterization of inhomogeneous materials is illustrated on the basis of numerical simulation data.
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