Abstract
In this paper the effect of the presence of couple stresses in an elastic medium on the propagation of shear waves is discussed. Two different analytical representations for the solution are obtained. Diffusion is seen to dominate near the source. Far down the source two wave fronts appear. One is associated with damping, the other, corresponding to the classical one, is associated with dispersion and its variation for large time is obtained in terms ofAiry function. By using the Fourier-Laplace transforms, the displacement is expressed in terms of integrands of the modified Bessel function. The integrals are numerically calculated for all time and the results are presented by suitable graphs.
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Nyayadhish, V.B. Elastic shear waves in the presence of couple stresses. Acta Physica 41, 19–27 (1976). https://doi.org/10.1007/BF03157426
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DOI: https://doi.org/10.1007/BF03157426