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An implicit octree-based adaptive Material Point Method [dataset] Open Access

The Material Point Method provides an effective approach for modelling the large deformations that often arise from contact interactions between rigid structures and surrounding continua. However, solving these problems requires accurate representation of the continuum-structure interface, which necessitates high resolution background mesh and material point discretisations. This requirement, combined with evolving continuum-structure interfaces and the fact that most Material Point Method implementations are dependent on structured meshes, can result in large numerical systems and long run times especially when modelling problems in three-dimensions. Motivated by this issue, this paper provides the first octree-based implicit Material Point Method for efficient solution of large deformation continuum-structure interaction problems. The octree background mesh provides a natural way to automatically adapt both the computational mesh and the material point discretisation based on the position of the interaction between the structure and continuum. The new approach is demonstrated on a number of large deformation benchmark and continuum-structure interaction problems, where up to an approximate 20 times reduction in CPU-hrs is achieved.

Descriptions

Resource type

Dataset

Contributors

Creator: Bird, Robert E. ¹
Data collector: Bird, Robert E. ¹
Creator: Coombs, William M. ¹
Contact person: Coombs, William M. ¹
Data collector: Coombs, William M. ¹
Creator: Augarde, Charles, E. ¹
Contact person: Augarde, Charles, E. ¹
Data collector: Augarde, Charles, E. ¹
Creator: Pretti, Giuliano ¹
Data collector: Pretti, Giuliano ¹
Creator: O’Hare, Ted J. ¹
Data collector: O’Hare, Ted J. ¹

¹ Durham University, UK

Funder

Engineering and Physical Sciences Research Council
Durham University

Research methods

Numerical methods

Other description

Keyword

Material Point Method
octree discretisation
soil-rigid structure interaction
finite deformation mechanics

Subject

Material point method

Location

Language

Cited in

Identifier

ark:/32150/r2db78tc05x
doi:10.15128/r2db78tc05x

Rights

Creative Commons Attribution 4.0 International (CC BY)

Publisher

Durham University

Date Created

File Details

Depositor

R.E. Bird

Date Uploaded

10 September 2026, 09:09:08

Date Modified

10 September 2026, 10:09:44

Audit Status

Audits have not yet been run on this file.

Characterization

File format: zip (ZIP Format)

Mime type: application/zip

File size: 5940015

Last modified: 2026:09:10 10:41:35+01:00

Filename: Octree_CMAME.zip

Original checksum: ee46e4f81c226072acc81c1d4c9f5ebc