Abstract

This investigation considers the effect of couple-stresses on dynamical stresses developed around a circular cylindrical discontinuity embedded in an infinite medium by the diffraction of steady plane parallel elastic compressional waves propagating in the medium. Both a cavity and a rigid cylinder with an immovable cylinder treated as a special case of the latter are considered. Numerical results valid at large wavelengths for a fixed Poisson's ratio showing variation of the modified stresses against different parameter ratios involved are presented in the form of curves and compared with their classical values obtained as a limiting case. In either case, at certain wavelengths, quite appreciable deviations from classical results occur. The effect of couple-stresses on the motion of a rigid cylinder is discussed.

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