Abstract

The problem of a normal impact and penetration of rigid spatial bodies of a finite mass into a half-space occupied by an elastoplastic soil medium. The penetrated medium is modeled by linearly compressible elastoplastic Grigoryan medium, with the yield strength linearly depending on pressure. The problem is analyzed in a 3D formulation, using software package LS-DYNA. The elastoplastic penetrated medium is analyzed on a fixed Eulerian grid with empty meshes, where the material flows to in the process of deformation. Spatial strikers are modeled by a rigid non-deformable body in a Lagrangian coordinate system. The effect of surface friction during the penetration of strikers of various forms (a round cone, a four-ray star and a pyramidal body) into elastoplastic Grigoryan soil medium is studied. The cross-section of the star-shaped body is generated by two rhombs with the ration of diagonals of 1:2; the base of the pyramid is a rhomb with the ratio of diagonals of 1:3. The analyzed bodies have equal areas of the bases and equal inclinations of the side surface (the angle between the direction of the motion velocity vector of the body and a normal to the side surface). A circular cone with the same base area is considered for comparison.The considered strikers moved with constant velocities and mechanically, in the velocity range of 150 to 600 m/s, corresponding to subsonic and supersonic velocities. The surface friction coefficient is close to the value of the friction coefficient in sandy soils of natural composition. The results are compared with the earlier obtained computational results for a zero friction coefficient. It is found that resistance to penetration and penetration depth can be described using binomial Resale's penetration law with a quadratic velocity. The disagreement between the forces of resistance to penetration of a pyramidal, conical and star-shaped bodies of the same height are within the interval of 10-20%.

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