An exact analysis is presented here for the three-dimensional dynamics of a long continuous pipeline embedded in an elastic medium. A shell model of the pipe has been used here. It is shown that the dynamic amplification of axial and hoop stresses induced in the pipe due to incident plane longitudinal and shear waves depends crucially on the ratio of rigidities of the surrounding soil and the pipe. Induced stresses are also found to have appreciable frequency dependence for certain combinations of material properties and angles of incidence. Results presented here are also applicable to buried tunnels.
Three-Dimensional Dynamic Response of Buried Pipelines to Incident Longitudinal and Shear Waves
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Datta, S. K., O’Leary, P. M., and Shah, A. H. (December 1, 1985). "Three-Dimensional Dynamic Response of Buried Pipelines to Incident Longitudinal and Shear Waves." ASME. J. Appl. Mech. December 1985; 52(4): 919–926. https://doi.org/10.1115/1.3169169
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