Abstract
The propagation and reflection of the ultrasonic tone burst in the strongly inhomogeneous exponentially graded material are studied. Deformations of a specimen with two parallel boundaries are described by the five constant nonlinear theory of elasticity. The one-dimensional problem is considered. The influence of the variation in material properties on the profile of boundary oscillations is clarified by parametric plots. The obtained results may be useful in the ultrasonic nondestructive material characterization.
Highlights
Composites with continuously varying volume fractions of their constituents are known as functionally graded materials (FGMs) [1,2,3,4]
The matter was studied on the basis of parametric plots with respect to time in a considerably inhomogeneous exponentially graded material
The influence of the symmetrically and asymmetrically distributed material properties on the boundary oscillation was investigated in six different cases of material inhomogeneity
Summary
Composites with continuously varying volume fractions of their constituents are known as functionally graded materials (FGMs) [1,2,3,4]. Analyses of the results of numerical simulations led to the conclusion that the variation of material properties was reverberated in boundary oscillation profiles This phenomenon is studied using the parametric plots composed on the basis of different profiles of boundary oscillations. Comparisons between the composed parametric plots enable one to determine the sign of material properties variation and to distinguish materials with (i) homogeneous properties, (ii) symmetrically distributed properties, (iii) asymmetrically distributed properties, and to distinguish the most relevant property of the material responsible for inhomogeneity. These results may be used as the basic principles of the
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