Numerical methods for large deformation analysis in geomechanics

For most geotechnical engineering problems, the deformations of interest are of a magnitude that allow for the use of the standard “small deformation” assumption such that the analysis can carried out with respect to the original, undeformed, geometry. However, in recent years there has growing demand for dealing with problems for which the deformations clearly are outside the range of what can reasonably be consider “small”. Such problems include landslides, installation of foundations by penetration (e.g. piles and suction caissons), and interaction of oil and gas infrastructure (e.g. pipelines) with the seabed.

In recent years, a number of candidate methods for dealing with very large deformations have emerged. The present project will focus on one of these, namely the Particle Finite Element Method (PFEM) which has shown a lot of promise in terms of solving real life problems in a robust and expedient manner (see references below). More specifically, the project aims to develop a scheme suitable for large-scale three-dimensional analysis. Although the applications of primary interest are in the geomechanics area, other applications including sheet metal forming and dynamic impact of quasi-brittle materials are also within the scope of the project.

The ideal candidate will have a background in civil or mechanical engineering with a strong interest in computational mechanics. Candidates with a background in applied mathematics, scientific computing and related fields are also encouraged to apply.