Simulation of penetration of a foundation element in Tresca soil using the generalized interpolation material point method (GIMP)

This paper presents a methodology to simulate penetration of a foundation element in Tresca soil using the generalized interpolation material point method (GIMP). The methodology relies on block-structured rectilinear background grids with hanging nodes to improve computational efficiency. For both efficiency and accuracy, material points are split into smaller material points as they enter grid elements that are not sufficiently large in comparison. Moving and compressible background grids are used to handle velocity boundary conditions. Comparison of simulations of foundation response during vertical, quasi-static motion with previous solutions illustrate the effectiveness and efficiency of the proposed schemes.