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- W2563200418 abstract "Pile installation in sand is one of the most complex problems in soil mechanics, and the numerical modelling of pile installation, i.e. the penetration of soil, is still an important topic of research. The main difficulties arise from the very large deformations and deep indentation of the soil material, the changing contact states, the complex mechanical behavior of sand, and the multiple length and stiffness scales. The classical Lagrangian and Eulerian versions of the finite element method are often not suitable to model problems involving large material deformations. In the total and updated Lagrangian approaches, the element mesh is stuck to the material and follows the material deformations. Therefore, solution may fail to proceed due to severe element distortion just after a small amount of penetration has occurred. In this case rezoning of the material domain, which consists of remeshing plus projection of the solution, becomes unavoidable. However, frequent rezoning is computationally expensive, because the connectivity of every new generated mesh has to be redetermined. Moreover, simple projection methods based on interpolation introduce errors, as they are not conservative. On the other hand, Eulerian finite element approaches keep the mesh fixed in space, but the treatment of path dependent constitutive equations, free surfaces, and moving boundaries becomes hard to challenge." @default.
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- W2563200418 date "2010-01-01" @default.
- W2563200418 modified "2023-10-03" @default.
- W2563200418 title "On Mesh Smoothing and Material Advection for Modelling Pile In- stallation in Sand" @default.
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