Modern construction involves the laying of a large number of various engineering communications.It is often necessary to arrange crossings under highways, railway tracks and other ground structures, the destruction of which during open trench development is a very expensive procedure. Recently, the technology of trenchless laying of engineering communications has become widespread.The simplest and quite effective is currently the most common method of static puncture. This method of well formation is characterized by the occurrence of significant stresses in the soil around the working body, which can have a destructive effect on engineering objects located nearby, both in the soil and on the surface. There is an urgent need to study soil behavior during puncture, in particular, using mathematical modeling of the process. The paper describes an approach to mathematical modeling of soil behavior in the process of puncture as a flow of a rigid-plastic medium. The movement of the medium is considered in Euler coordinates. The working body is modeled by a completely solid cone. The main assumptions are stated and substantiated. Pressure was considered instead of average stress. The density of the deforming medium was assumed to be constant.Under pressure was understood excess pressure, i.e. pressure caused by the action of the effort of the working body during a puncture.It was believed that soil resistance is determined mainly by the resistance of a relatively narrow layer adjacent to the working body.Instead of Cartesian coordinates, spherical coordinates were used in this case.As a result, all the dependencies characterizing the rigid-plastic flow are analytically deduced ‒ the fields of velocities, deformation velocities and stresses.

loader, articulated frame, hydraulic drive, steering, dredging, research, mathematical modeling

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