Численный метод нахождения поля скоростей перемещений для осесимметричной задачи связных сыпучих материалов

Abstract

A mathematical model of the kinematics of the axisymmetric problem of loose material with a microstructure is considered. Numerical methods for solving the equations describing the velocity field for loose materials with microstructure are presented. Two cases of the stress-strain state of the cylindrical region are considered. In the first case, an analytical solution for the velocity field is obtained. For the second case, numerical methods for solving third-order differential equations with boundary conditions for the velocities of displacements are proposed. An algorithm that implements numerical methods for finding the velocity field of loose materials in an axisymmetric problem is developed.