Abstract

The piecewise linear problem of the effect of a seismic wave propagating in the ground on an extended underground pipeline interacting with the ground has been solved by the explicit finite difference method according to a model, that takes into account the process of destruction of the soil structure. This model reflects experimental data on soils. The nonlinear interaction model is approximated by a piecewise linear model. The problems of the effect of a highfrequency harmonic wave propagating in the ground on an underground pipeline in the case of nonlinear interaction were previously solved by the method of characteristics. An explicit finite-difference scheme is constructed an iterative process is used to refine the solution during the transition from one state to another state of the coefficient of interaction of the pipeline with the ground. The results of calculating velocities, deformations, displacements and lateral tangential stresses for different waveforms are presented. A comparison is made with the solutions of the problems of elastic interaction and interaction according to an ideally elastic-plastic model.