Interaction of bursts in exponentially graded materials characterized by parametric plots

The nonlinear interaction of tone bursts in functionally graded materials with strongly variable properties is studied resorting to the five constant nonlinear theory of elasticity in the 1D setting. The problem is solved numerically for an exponentially graded material. The influence of the material properties variation on the bursts profiles evolution is traced on the boundaries of the sample. A special case of the bursts interaction by which oscillations evoked by counterpropagating bursts disappear in the homogeneous material is proposed as a reference case for the problem of nondestructive material characterization. The deviation from this special case caused by inhomogeneity in material properties is analyzed by parametric plots. Obtained results may be used by qualitative nondestructive determination of the inhomogeneity in material properties.