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Overcoming volumetric locking in material point methods (figure data) Open Access

Material point methods suffer from volumetric locking when modelling near incompressible materials due to the combination of a low-order computational mesh and large numbers of material points per element. Large numbers of material points per element are required to reduce integration errors due to non-optimum placement of integration points. This restricts the ability of current material point methods in modelling realistic material behaviour. This paper presents for the first time a method to overcome finite deformation volumetric locking in standard and generalised interpolation material point methods for near-incompressible non-linear solid mechanics. The method does not place any restriction on the form of constitutive model used and is straightforward to implement into existing implicit material point method codes. The performance of the method is demonstrated on a number of two and three-dimensional examples and its correct implementation confirmed through convergence studies towards analytical solutions and obtaining the correct order of convergence within the global Newton-Raphson equilibrium iterations. In particular, the proposed formulation has been shown to remove the over-stiff volumetric behaviour of conventional material point methods and reduce stress oscillations. It is straightforward to extend this approach to other material point methods and the presented formulation can be incorporated into all existing material point methods available in the literatu

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Resource type
Dataset
Contributors
Creator: Coombs, William 1
Creator: Charlton, Tim 1
Creator: Cortis, Michael 1
Creator: Augarde, Charles 1
1 Durham University, UK
Funder
Engineering and Physical Sciences Research Council
Research methods
Material point method
Other description
Keyword
Material point method
Volumetric locking
Computational mechanics
Subject
Location
Language
Cited in
Identifier
ark:/32150/r2wd375w30h
doi:10.15128/r2wd375w30h
Rights
Creative Commons Attribution 4.0 International (CC BY)

Publisher
Durham University
Date Created

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W.M. Coombs
Date Uploaded
Date Modified
9 February 2018, 13:02:39
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File format: zip (ZIP Format)
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File size: 70285
Last modified: 2018:01:17 09:03:24+00:00
Filename: FbarMPMfigureData.zip
Original checksum: 8bd44d5baccc86935b70d48a7066e6ed
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User S.J. Brownsell has updated Overcoming volumetric locking in material point methods (figure data) 7 months ago
User S.J. Brownsell has updated Overcoming volumetric locking in material point methods (figure data) 7 months ago
User W.M. Coombs has updated Overcoming volumetric locking in material point methods (figure data) 7 months ago
User W.M. Coombs has deposited FbarMPMfigureData.zip 7 months ago