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An implicit hyperelastoplastic micropolar material point method for shear bands and size effects at finite strains [dataset] Open Access
Strain localisation and size effects remain difficult to capture in computational models of material failure, especially in geomechanics where large, heterogeneous deformations are typical. Classical continuum approaches lack intrinsic length scales, while most regularisation strategies introduce artificial gradient terms that are often heuristic and thermodynamically inconsistent. Micropolar theory offers a physically motivated alternative, but existing implementations are largely restricted to linearised or purely elastic settings, or combined with additional nonlocal paradigms. This work introduces the first implicit elastoplastic Material Point Method (MPM) that fully integrates nonlinear micropolar (Cosserat) theory with consistent numerical stabilisation. The framework is geometrically exact, thermodynamically consistent, and relies solely on micropolar regularisation to produce mesh-objective shear bands and size-dependent responses. Robustness is further enhanced by combining the Generalised Interpolation MPM (GIMPM) with ghost penalisation, mitigating long-standing MPM instabilities. Despite its constitutive simplicity, the model captures key features of localisation with a minimal set of physically meaningful parameters. Validation against finite-strain benchmark problems demonstrates its ability to reproduce mesh-independent failure patterns and microstructure-sensitive behaviour. The method thus provides a new, physically grounded regularisation framework for large-deformation localisation problems, with promising applications in geomechanics and other domains where microstructural effects are significant.
Descriptions
- Resource type
- Dataset
- Contributors
- Creator:
O'Hare, Ted
1
Contact person: Coombs, William 1
Gourgiotis, Panos 2
Augarde, Charles 1
1 Durham University, UK
2 NTUA, Greece
- Funder
-
Engineering and Physical Sciences Research Council
- Research methods
- Other description
-
The MATLAB code developed and used in this study is freely available on GitHub under an MIT licence: https://github.com/TedOHare/Micropolar-MPM
- Keyword
- micropolar
Cosserat
material point method
strain localisation
size effect
hyperplasticity
- Subject
-
Continuum mechanics
Material point method
Micropolar elasticity
- Location
- Language
- English
- Cited in
- doi:10.1016/j.cma.2025.118516
- Identifier
- ark:/32150/r2ft848q67r
doi:10.15128/r2ft848q67r
- Rights
- Creative Commons Attribution 4.0 International (CC BY)
- Publisher
-
Durham University
- Date Created
-
2025-10-22
File Details
- Depositor
- T.J. O'hare
- Date Uploaded
- 19 October 2025, 10:10:56
- Date Modified
- 22 October 2025, 10:10:57
- Audit Status
- Audits have not yet been run on this file.
- Characterization
-
File format: zip (ZIP Format)
Mime type: application/zip
File size: 9063720
Last modified: 2025:10:22 08:38:34+01:00
Filename: Research Data.zip
Original checksum: c17ad2d5bd9712e55ff7fcc2c08ae1a1
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