J. Phys. IV France 124 (2005) 341-345
Elastic constants determination using the velocity of only one propagating mode: , orM. Doghmane1, 2, I. Hadjoub2, A. Doghmane2 and F. Hadjoub2
1 Département de Physique, Faculté des Sciences, Université de Guelma, Algeria
2 Laboratoire des Semi-Conducteurs, Département de Physique, Faculté des Sciences, Université Badji-Mokhtar, BP. 12, 23000 Annaba, Algeria,
In nondestructive micro-characterization, elastic constants are generally expressed in terms of velocities of longitudinal waves, V, and transverse waves, V. However, it is often difficult to determine these velocities by a single measurement. In this context, we propose the derivation of new expressions according to only one parameter: V, V or Rayleigh velocity, V. Thus, by using Viktorov formula and certain acceptable physically approximations, deduced, for any material of density the following relations: E = 0.757 , E = 2.586 , E = 2.99 , G = 0.293 and G = 1.156 .The validity of these relations is put into evidence for a large number of materials (Al, Cd, Fe, Mg, Mo, Ti, W, Pt, Ni, etc) characterized by fast, medium or slow velocities. Excellent precisions of 0.007 % and 0.009 % were obtained respectively for G = f(V with Mo and for E = f(V with Fe. These very encouraging results find their applications in acoustic microscopy into which only one surface mode often dominates the acoustic materials signatures, V(z).
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