The paper presents some recent developments in the formulation of G-PFEM, the Particle Finite Element Method intended for geotechnical applications involving large displacements, finite strains and, often, soil-structure interaction. The associated computer code has been developed and implemented in KRATOS, an object-oriented multi-disciplinary open-access platform. After describing the basic features of the generic PFEM, stabilized mixed formulations for single phase and two-phase materials, required by the use of low-order finite elements, are presented. A nonlocal integration regularization scheme, implemented to deal with materials exhibiting softening behaviour, is described. Two sources of softening are considered: degradation of structured soils and undrained flow liquefaction, requiring different forms of constitutive models. Two examples of application involving softening materials are presented: a biaxial test and a cone penetration test with pore pressure measurements. The integration of the constitutive laws in a large-strain setting and the incorporation of the IMPLEX algorithm are also briefly addressed.
10th European Conference on Numerical Methods in Geotechnical Engineering (NUMGE2023)
2. Finite element, finite difference, discrete element, material point and other methods