Abstract
In ultrasonic material investigations Young's modulus, E, and shear modulus, G, conventionally expressed in terms of the velocities of longitudinal ( V L,) and transverse ( V T) modes, are usually difficult to determine from a single measurement, in particular for scanning acoustic microscopy. Therefore, using Viktorov formula and physically acceptable approximations, we derive simple expressions for E and G in terms of the velocity, V i , of just one propagating mode (including Rayleigh mode V R). It was found that ( E, G) = ( α i , β i ) ρV i 2. The validity of these expressions is successfully tested, analytically and graphically, for a great number of materials representing a large spectrum of densities, 1000 kg/m 3 < ρ < 22 000 kg/m 3, and characterized by a wide interval of velocities, 1400 m/s < V L < 12 000 m/s.
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