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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
Date Modified
22 October 2025, 10:10:57
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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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