ИСТИНА

Soil mechanical and geotechnical problems are often characterized by large material deformations and other associated phenomena. In their modeling, classical soil mechanics and the traditional finite element method based on the total Lagrange (TL) formulation reach their limits. The Coupled Eulerian–Lagrangian (CEL) approach, for example, can be used to model dynamic processes with large deformations. This paper deals with the installation of piles in sand. As is known [1-4], the use of a completely Lagrangian (TL) approach in the numerical solution of geometrically nonlinear problems can lead to a fatal accumulation of rounding errors. The effects of shear locking and hourglass effect in FEM [5-7] when using reduced integration elements make the results of numerical modeling inapplicable for any practical analysis. Our experience of using a completely Lagrangian approach without using computationally expensive procedures in solving the problem of pile driving led to the appearance of such large shear stresses in the ground that further immersion of the pile into the ground in this simulation became impossible. The use of the CEL method made it possible, while maintaining the numerical efficiency of the reduced integration, to get rid of these effects in the solution.