ВЛИЯНИЕ РАСПРЕДЕЛЕНИЯ НАПРЯЖЕНИЙ ВДОЛЬ ОБРАЗУЮЩЕЙ НА ПАРАМЕТРЫ ДВИЖЕНИЯ КОНИЧЕСКИХ УДАРНИКОВ В ГРУНТОВОЙ СРЕДЕ

Abstract

Plane parallel motion of conical bodies in an elastoplastic soil is modelled using the locality hypothesis in the frame of the local interaction model. The parameters of the local interaction model with a quadratic velocity are determined based on the solution of a one-dimensional problem of the constant-velocity expansion of a spherical cavity from a point in an infinite medium. The model of the elastoplastic medium includes linear relationships «pressure-volume deformation» and «yield strength-pressure». Earlier, inertial motion of a conical striker normal and oblique to the free surface of the half-space occupied by the elastoplastic soil medium was studied. It was found that the local interaction model with a quadratic velocity adequately enough describing the axisymmetric motion of the striker is also applicable for representing the initial stage of oblique penetration into the soil. The present article demonstrates that the angular rotation velocity depends on the distribution along the generatrix of the cone in an oblique impact. The behavior of angular velocities in time is analyzed; satisfactory quantitative and qualitative agreement is noted for the results obtained in 3D computations and in the frame of the modal interaction model accounting for the inconstant distribution of contact pressures along the generatrix of an acute cone. Keywords: conical striker, impact, oblique penetration, elastiolastic medium, local interaction model, 3D modeling.