Nathan Gavin's Outputs (5)

A stable poro-mechanical formulation for Material Point Methods leveraging overlapping meshes and multi-field ghost penalisation (2024)
Journal Article
Pretti, G., Bird, R., Gavin, N., Coombs, W., & Augarde, C. (in press). A stable poro-mechanical formulation for Material Point Methods leveraging overlapping meshes and multi-field ghost penalisation. International Journal for Numerical Methods in Engineering,

The Material Point Method (MPM) is widely used to analyse coupled (solid-water) problems under large deformations/displacements. However, if not addressed carefully, MPM u-p formulations for poro-mechanics can be affected by two major sources of inst... Read More about A stable poro-mechanical formulation for Material Point Methods leveraging overlapping meshes and multi-field ghost penalisation.

On the implementation of a material point‐based arc‐length method (2024)
Journal Article
Gavin, N., Pretti, G., Coombs, W., Brigham, J., & Augarde, C. (2024). On the implementation of a material point‐based arc‐length method. International Journal for Numerical Methods in Engineering, 125(9), Article e7438. https://doi.org/10.1002/nme.7438

Summary: The material point method is a versatile technique which can be used to solve various types of solid mechanics problems, especially those involving large deformations. However, the capability of the material point method to track a load‐disp... Read More about On the implementation of a material point‐based arc‐length method.

On the development of a material point method compatible arc length solver for large deformation solid mechanics (2023)
Presentation / Conference Contribution
Gavin, N., Coombs, W., Brigham, J., & Augarde, C. (2023). On the development of a material point method compatible arc length solver for large deformation solid mechanics.

The Material Point Method is a versatile technique, however, it may be unable to provide a valid solution if there is a snap-through or snap-back response in the equilibrium path. One approach of overcoming this issue is the use of path following tec... Read More about On the development of a material point method compatible arc length solver for large deformation solid mechanics.

An open-source Julia code for geotechnical MPM (2023)
Presentation / Conference Contribution
Gavin, N., Bird, R. E., Coombs, W. M., & Augarde, C. E. (2023). An open-source Julia code for geotechnical MPM. In L. Zdravkovic, S. Kontoe, D. M. G. Taborda, & A. Tsiampousi (Eds.), . https://doi.org/10.53243/numge2023-35

There is considerable interest in the Material Point Method (MPM) in the computational geotechnics community since it can model problems involving large deformations, e.g. landslides, collapses etc. without being too far from the standard finite elem... Read More about An open-source Julia code for geotechnical MPM.

MRI to MPM: Developing a Patient-specific Material Point Method Model of the Human Heart (2022)
Presentation / Conference Contribution
Gavin, N., Coombs, W., Brigham, J., & Augarde, C. (2022, April). MRI to MPM: Developing a Patient-specific Material Point Method Model of the Human Heart. Paper presented at UKACM 2022, Nottingham, UK

The heart is an important organ in the human body and has been widely studied using Finite Element Analysis techniques which often require extremely fine meshes in order to obtain accurate results. Also, large deformations are typically seen in heart... Read More about MRI to MPM: Developing a Patient-specific Material Point Method Model of the Human Heart.