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Evolving shear bands in a nonlinear micropolar continuum [dataset] Open Access

Shear bands in inelastic solids are often treated as stationary failure zones whose orientation is fixed at bifurcation, a view reinforced by classical Cauchy continua with softening and no internal length scale, where loss of ellipticity drives deformation into a single planar band. Experiments in granular media, however, increasingly show curved, branching and migrating shear zones. Here we study finite-strain localisation in a geometrically nonlinear micropolar (Cosserat) continuum implemented in an implicit material point method, using a non-associative Drucker-Prager model with a unified yield surface based on a generalised measure of stresses and couple-stresses to introduce an intrinsic length scale. Two-dimensional boundary-value problems show that localisation need not remain rectilinear or stationary: the active zone can curve, reorient and migrate as the stress state evolves, without ad hoc parameter tuning. Viewed through the microrotation field, the evolving centreline is consistently traced by a near-zero ridge of the band-normal microrotation gradient, which we propose as a natural band-selection rule in the nonlinear micropolar continuum.

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Resource type

Dataset

Contributors

Creator: O'Hare, Ted ¹
Contact person: Coombs, William ¹
Contact person: Charles, Augarde ¹

¹ Durham University, UK

Funder

Engineering and Physical Sciences Research Council

Research methods

Other description

Keyword

strain localisation
micropolar/Cosserat mechanics
generalised continuum
elastoplasticity
material point method
finite deformation

Subject

Material point method
Elastoplasticity--Mathematical models
Micropolar elasticity

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Language

Cited in

Identifier

ark:/32150/r2mg74qm164
doi:10.15128/r2mg74qm164

Rights

Creative Commons Attribution 4.0 International (CC BY)

Publisher

Durham University

Date Created

File Details

Depositor

W.M. Coombs

Date Uploaded

8 June 2026, 13:06:52

Date Modified

8 June 2026, 15:06:25

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File format: zip (ZIP Format)

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File size: 10735629

Last modified: 2026:06:08 14:28:46+01:00

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