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An implicit Material Point Method for micropolar solids undergoing large deformations [dataset] Open Access

Modelling the mechanical behaviour of structural systems where the system size approaches that of the material microstructure (such as in MEMS) presents challenges to the standard continuum assumption and classical models can fail to predict important phenomena. Of the various non-conventional continuum frameworks developed to tackle this issue, the micropolar (Cosserat) continuum is widely acknowledged as a suitable and rigorous alternative for its ability to naturally predict size effects by introducing characteristic length scales. This work proposes an implementation of geometrically non-linear micropolar theory using an implicit Material Point method, for the purpose of simulating nanoscale large-deformation problems involving Hookean materials. The framework employs an analytically-derived consistent tangent, and is verified with a novel benchmark problem derived using the Method of Manufactured Solutions. Due to similarities between the methods, many aspects of the formulation could be used to construct an Updated Lagrangian Finite Element Method.

Descriptions

Resource type

Dataset

Contributors

Creator: O'Hare, Ted ¹
Contact person: Coombs, William M. ¹

¹ Durham University, UK

Funder

Engineering and Physical Sciences Research Council

Research methods

Other description

Keyword

Micropolar
Cosserat
Material Point Method
Geometric non-linearity
Consistent linearization
Method of Manufactured Solutions

Subject

Location

Language

Cited in

Identifier

ark:/32150/r1v405s944n
doi:10.15128/r1v405s944n

Rights

Creative Commons Attribution 4.0 International (CC BY)

Publisher

Durham University

Date Created

File Details

Depositor

W.M. Coombs

Date Uploaded

24 November 2023, 10:11:48

Date Modified

24 November 2023, 12:11:00

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Characterization

File format: zip (ZIP Format)

Mime type: application/zip

File size: 43239201

Last modified: 2023:11:24 10:27:55+00:00

Filename: FigureData.zip

Original checksum: b8c66dab03899375bb92ed8c29348c80