Graph neural networks to learn meshfree snow simulations

Snow is a natural hazard to human life and infrastructure. This motivates current research efforts to understand the granular material. The material point method models snow as a continuum. Application length scales range from the microstructural level to full scale avalanches. This conventional numerical method relies on solely spatially local...

Numerical Modelling Of Pile Installation Using Material Point Method

Structures and buildings built on soft soil require deep foundations often consisting of piles. Through the piles, loads are transferred to deeper soil layers which are capable to mobilise enough bearing capacity for the superstructure. During installation of a displacement pile, the soil around the pile gets distorted which leads to a change of...

Conservative Taylor least squares reconstruction with application to material point methods

Within the standard material point method (MPM), the spatial errors are partially caused by the direct mapping of material-point data to the background grid. In order to reduce these errors, we introduced a novel technique that combines the least squares method with the Taylor basis functions, called the Taylor least squares (TLS), to...

Application of a second-order implicit material point method

In this work, we present the application of a newly developed implicit second-order Material Point Method (MPM) on offshore geotechnical applications. The presented second-order MPM uses a special set of piecewise quadratic shape functions to circumvent the well-known issue of producing zero nodal mass contributions. To mitigate the effect of...

Compound material point method (CMPM) to improve stress recovery for quasi-static problems

Stress oscillations and inaccuracies are commonly reported in the material point method (MPM). This paper investigates the causes and presents a method to reduce them. The oscillations are shown to result from, at least in part, two distinctly different causes, both originating from the shape function approximations used. The first is due to the...

Slope Failure Simulations with MPM

The simulation of slope failures, including both failure initiation and development, has been modelled using the material point method. By utilising a constitutive model which encompasses, in a simplified manner, both pre- and post-failure behaviour, the majority of types of geotechnical slope failure can be observed in the simulations. This is...

A High Order Material Point Method

The classical material point method (MPM) developed in the 90s is known for drawbacks which affect the quality of results. The movement of material points from one element to another leads to non-physical oscillations known as ‘grid crossing errors’. Furthermore, the use of material points as integration points renders a numerical quadrature...