Adaptive contact physics for non-spherical discrete elements

About the Project

The Discrete Element Method (DEM) enables detailed modelling of granular materials, including industrial bulk solids, by modelling interactions between discrete particles. Limits in available computational power initially restricted this approach to discs, and then spheres and multi-sphere clumps. More recently, non-spherical particle descriptors have been introduced such as cylinders, spherocylinders, superquadrics, potential particles, and polyhedral particles. In all these cases, contact detection and overlap calculation incur significant computational cost compared to sphere-to-sphere contacts.

While it is always possible to locally approximate the contacting particles as spheres of appropriate curvature, the accuracy of such an approximation is unknown, and potentially low. Increasing geometric accuracy without a corresponding accuracy improvement in modelling the mechanical behaviour at the contact therefore leads to unnecessary computational cost.

This PhD project will develop new, adaptive contact physics models that will allow a seamless transition between low and high accuracy/cost modelling, while maintaining an optimal balance between geometric and mechanical detail. These models will be verified using continuum mechanics (finite-element) simulations, and validated through their implementation in a discrete element code.

Funding Notes

Applications are welcomed from self-funded students, or students who are applying for scholarships from the University of Edinburgh or elsewhere as well as self-funded students.

Competition (EPSRC) funding may be available for an exceptional candidate. Link below for the further details.

Further information and other funding options.

Minimum entry qualification - an Honours degree at 2:1 or above (or International equivalent) in a relevant science or engineering discipline, possibly supported by an MSc Degree. Applicants must demonstrate an appropriate background in numerical analysis, programming, mechanics of materials and/or computational mathematics.

Further information on English language requirements for EU/Overseas applicants.