TY - JOUR AU1 - Nigul, U. AB - EVALUATION METHODS ASYMPTOTIC ANALYSIS TO ESTABLISH THE FEASIBILITY OF USING NONLINEAR EFFECTS FOR ACOUSTIC DIAGNOSIS OF THE PROPERTIES OF A "LAYER ON A HALF-SPACE" OBJECT U. K. Nigul UDC 620.17:532.24.001 1. Formulation of the Problem The modern apparatus available for acoustic diagnosis of the properties of laminate objects (composite materials, living tissue, etc. ) and compound beams is often capable of recording the distortion of an echo signal (reflected pulses) due to nonlinear effects which occur during propagation, reflection, and interference of pulses. Such a distortion is usually treated as an undesirable phenomenon which complicates the mathemat- ical description of the wave process. The object of this study is to demonstrate, on a simple example, that the opposite can be true: the distortion of an echo signal due to nonlinear effects can become a useful phenom- enon and make it possible to extract from the signal additional information about the geometrical and physi- cal parameters of a given test object. As the mathematical model in this analysis will be used the quasilinear wave equations in which the dissipative terms (viscosity and conversion of mechanical energy to heat) have been disregarded. The effects of dissipation may have to be accounted TI - Asymptotic analysis to establish the feasibility of using nonlinear effects for acoustic diagnosis of the properties of a "layer on a half-space" object JF - Mechanics of Composite Materials DO - 10.1007/BF00859597 DA - 2004-12-05 UR - https://www.deepdyve.com/lp/springer-journals/asymptotic-analysis-to-establish-the-feasibility-of-using-nonlinear-gGrfr00gX6 SP - 275 EP - 283 VL - 13 IS - 2 DP - DeepDyve ER -