Abstract
A simple theory has been developed to account for the propagation of shear waves in crystals containing a large number of dislocations, in terms of an inverse modulus which connects the stress and strain at a slip plane and a relaxation time that characterises the motion of dislocations in the crystals. The inverse modulus is a complex quantity and some relations connecting the two components of this complex quantity are worked out. The dispersion and absorption of shear waves are linked with these two components. Expressions are obtained for the frequency dependence of the inverse modulus in terms of the relaxation time and the density of dislocations. Some calculations are made using existing experimental data, and there seems to be a fairly good agreement.
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