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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

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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

File Details

Depositor

W.M. Coombs

Date Uploaded

17 January 2018, 09:01:21

Date Modified

11 July 2019, 08:07:09

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File format: zip (ZIP Format)

Mime type: application/zip

File size: 70285

Last modified: 2018:01:17 09:03:24+00:00

Filename: FbarMPMfigureData.zip

Original checksum: 8bd44d5baccc86935b70d48a7066e6ed