Wave processes in an extended underground pipeline interacting with soil according to the model of an “ideal elastoplastic body”

Abstract

Abstract A piecewise-linear problem of the effect of a wave propagating in soil on an extended underground pipeline interacting with soil according to the model of an “ideal elastoplastic body” is solved by the finite difference method. The results of calculating the velocities, strains and lateral shear stress for three waveforms: step-like, impulse and harmonic ones are presented. The analysis of the results obtained is performed and the effect of reverse outward forcing of the pipeline under the action of a displacement impulse propagating in soil in the form of sine squared is shown. An approach to the stationary mode under sinusoidal impact is considered.