An efficient and locking-free material point method for three-dimensional analysis with simplex elements
An efficient and locking-free material point method for three-dimensional analysis with simplex elements
The Material Point Method is a relative newcomer to the world of solid mechanics modelling. Its key advantage is the ability to model problems having large deformations while being relatively close to standard finite element methods, however its use for realistic engineering applications will happen only if the material point can be shown to be both efficient and accurate (compared to standard finite element methods), when modelling complex geometries with a range of material models. In this paper we present developments of the standard material point method aimed at realizing these goals. The key contribution provided here is the development of a material point method that avoids volumetric locking (arising from elastic or elasto-plastic material behavior) while using low-order tetrahedral finite elements for the background computational mesh, hence allowing unstructured background grids to be used for complex geometries. We also show that these developments can be effectively parallelized to improve computational efficiency.
elasto-plasticity, finite deformation mechanics, material point method, parallel analysis, volumetric locking
3876-3899
Wang, Lei
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Coombs, William M.
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Augarde, Charles E.
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Cortis, Michael
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Brown, Michael J.
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Brennan, Andrew J.
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Knappett, Jonathan A.
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Davidson, Craig
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Richards, David
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White, David J.
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Blake, Anthony P.
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15 August 2021
Wang, Lei
ffdc9d25-25fb-48d6-95dc-9db51a7a65c9
Coombs, William M.
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Augarde, Charles E.
5b55d188-196a-49a0-8ff7-68abf3a0f75b
Cortis, Michael
3242806a-5c41-4615-9da1-2021c85507f0
Brown, Michael J.
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Brennan, Andrew J.
64cc6129-5bf8-47fa-abb2-1d91b596e93a
Knappett, Jonathan A.
cda30027-553d-4310-8a05-e48d8989a545
Davidson, Craig
972704f2-5a32-4469-ad4f-358c60ef8de2
Richards, David
a58ea81e-443d-4dab-8d97-55d76a43d57e
White, David J.
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Blake, Anthony P.
e0438bea-cfc4-4373-b100-8b9768ddc56f
Wang, Lei, Coombs, William M., Augarde, Charles E., Cortis, Michael, Brown, Michael J., Brennan, Andrew J., Knappett, Jonathan A., Davidson, Craig, Richards, David, White, David J. and Blake, Anthony P.
(2021)
An efficient and locking-free material point method for three-dimensional analysis with simplex elements.
International Journal for Numerical Methods in Engineering, 122 (15), .
(doi:10.1002/nme.6685).
Abstract
The Material Point Method is a relative newcomer to the world of solid mechanics modelling. Its key advantage is the ability to model problems having large deformations while being relatively close to standard finite element methods, however its use for realistic engineering applications will happen only if the material point can be shown to be both efficient and accurate (compared to standard finite element methods), when modelling complex geometries with a range of material models. In this paper we present developments of the standard material point method aimed at realizing these goals. The key contribution provided here is the development of a material point method that avoids volumetric locking (arising from elastic or elasto-plastic material behavior) while using low-order tetrahedral finite elements for the background computational mesh, hence allowing unstructured background grids to be used for complex geometries. We also show that these developments can be effectively parallelized to improve computational efficiency.
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More information
Accepted/In Press date: 23 March 2021
e-pub ahead of print date: 4 April 2021
Published date: 15 August 2021
Additional Information:
Funding Information:
This work was supported by the UK Engineering and Physical Sciences Research Council (grant number EP/N006054/1).
Publisher Copyright:
© 2021 The Authors. International Journal for Numerical Methods in Engineering published by John Wiley & Sons Ltd.
Copyright:
Copyright 2021 Elsevier B.V., All rights reserved.
Keywords:
elasto-plasticity, finite deformation mechanics, material point method, parallel analysis, volumetric locking
Identifiers
Local EPrints ID: 449279
URI: http://eprints.soton.ac.uk/id/eprint/449279
ISSN: 0029-5981
PURE UUID: 690c8361-a440-4c7f-bdc3-1c0fe089e473
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Date deposited: 21 May 2021 16:31
Last modified: 18 Mar 2024 03:42
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Contributors
Author:
Lei Wang
Author:
William M. Coombs
Author:
Charles E. Augarde
Author:
Michael Cortis
Author:
Michael J. Brown
Author:
Andrew J. Brennan
Author:
Jonathan A. Knappett
Author:
Craig Davidson
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