D. Aubram, F. Rackwitz and S. A. Savidis
Soil Mechanics and Geotechnical Engineering Division, Technical University of Berlin, Germany
Keywords: Arbitrary Lagrangian-Eulerian, large deformation, sand, penetration, pile
ABSTRACT:
The paper presents a framework for the numerical simulation of soil penetration at finite strains
based on the Arbitrary Lagrangian-Eulerian (ALE) finite element method. By applying an operator-split to the governing ALE equations, the usual computation with finite elements, which is then referred to as the Lagrangianstep, is followed by a mesh regularisation step which should reduce the element distortions occurred during the calculation. Thereafter, the state variables are remapped onto the updated mesh allowing for the convection of the material. When combining the ALE approach with advanced stress and density dependent constitutive equations for sand, managing this convection step is an important task. This paper presents a couple of
numerical schemes and results of numerical examples will illustrate the advantages of the ALE framework incomparison to the classical Lagrangian formulation.
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