A long wavelength and low-frequency analysis is presented here for the dynamic behavior of a long continuous pipeline embedded in an elastic medium. Using a shell model for the pipe, it is shown that the dynamic amplification of axial and hoop stresses induced in the pipe due to traveling plane waves (longitudinal and shear) depends crucially on the ratio of the rigidities of the surrounding soil and the pipe. Results are presented showing the dependence of the induced stresses on the direction of propagation of the incident waves, the Poisson’s ratios and rigidities of the ground and pipe materials.

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