Sabet, S.A. and de Borst, R. orcid.org/0000-0002-3457-3574 (2019) Mesh bias and shear band inclination in standard and non-standard continua. Archive of Applied Mechanics, 89 (12). pp. 2577-2590. ISSN 0939-1533
Abstract
A severe, spurious dependence of numerical simulations on the mesh size and orientation can be observed in elasto-plastic models with a non-associated flow rule. This is due to the loss of ellipticity and may also cause a divergence in the incremental-iterative solution procedure. This paper first analyses the dependence of the shear band inclination in a biaxial test on the mesh size as well as on the mesh orientation. Next, a Cosserat continuum model, which has been employed successfully for strain-softening plasticity, is proposed to prevent loss of ellipticity. Now, numerical solutions result for shear band formation which are independent of the size and the orientation of the discretisation.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2019 Springer-Verlag GmbH Germany, part of Springer Nature. This is an author-produced version of a paper subsequently published in Archive of Applied Mechanics. Uploaded in accordance with the publisher's self-archiving policy. |
Keywords: | Non-associated plasticity; Cosserat continuum; Mesh bias; Strain localisation; Shear band; Ellipticity |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Engineering (Sheffield) > Department of Civil and Structural Engineering (Sheffield) |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 09 Dec 2019 10:29 |
Last Modified: | 16 Sep 2020 00:38 |
Status: | Published |
Publisher: | Springer Science and Business Media LLC |
Refereed: | Yes |
Identification Number: | 10.1007/s00419-019-01593-2 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:154318 |