Abstract
A double transform method is used to investigate the strain pulse propagation in semi-infinite composite elastic rods under impulse stress loading at one end. The exact solution is given as a sum of Fourier integrals which cannot be evaluated by simple means. Asymptotic solutions using the saddle point method of integration are obtained, valid at large distances from the stressed end of the composite rod. Two different physical rods are analyzed, the first one having a large soft core surrounded by thin stiff casing and the second one having a small stiff core with a large soft casing. The numerical results of the strain produced at the outer lateral surface of the rods, ontained by IBM 360 system computer, are presented. Comparison of the results of the two rods is also presented.
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