Towards a Material Point Method with Powell-Sabin spline basis functions: MPM with higher-order C1-continuous basis functions on triangulations

The material point method (MPM) is a numerical method for simulating ground deformations, that combinesthe benefits of a fixed grid with movingmaterial points, which carry the history dependent information of thecontinuum. During each time step, this information is projected to the grid, on which the equations of motionare solved and a...

Numerical stability for velocity-based 2-phase formulation for geotechnical dynamic analysis

In the field of geotechnical engineering, the study of numerous processes such as pile installation requires to model large deformation of soil. Soil is an assembly of solid particles whose pore volume is filled with water or air. Its deformation mainly depends on the highly non-linear stress-strain behaviour of the soil skeleton. In case of the...