An efficient and locking-free material point method for three dimensional analysis with simplex elements [dataset]

Lei, Wang (Department of Computer Science Oxford University, UK); Blake, Anthony P. (University of Southampton, UK); White, David J. (University of Southampton, UK); Brown, Michael J. (University of Dundee, UK); Brennan, Andrew J. (University of Dundee, UK); Richards, David (University of Southampton, UK); Davidson, Craig (University of Dundee, UK); Cortis, Michael (Coventive Composites, UK); Coombs, William M. (Durham University, UK); Augarde, Charles E. (Durham University, UK); Knappett, Jonathan A. (University of Dundee, UK)

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An efficient and locking-free material point method for three dimensional analysis with simplex elements [dataset] Open Access

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 realising 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 behaviour) whilst 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 parallelised to improve computational efficiency.

Descriptions

Resource type: Dataset
Contributors: Creator: Lei, Wang ¹
Creator: Coombs, William M. ²
Contact person: Coombs, William M. ²
Creator: Augarde, Charles E. ²
Cortis, Michael ³
Brown, Michael J. ⁴
Brennan, Andrew J. ⁴
Knappett, Jonathan A. ⁴
Davidson, Craig ⁴
Richards, David ⁵
White, David J. ⁵
Blake, Anthony P. ⁵

¹ Department of Computer Science Oxford University, UK
² Durham University, UK
³ Coventive Composites, UK
⁴ University of Dundee, UK
⁵ University of Southampton, UK
Funder: Engineering and Physical Sciences Research Council
Research methods
Other description
Keyword: material point method
volumetric locking
elasto-plasticity
finite deformation mechanics
parallel analysis
Subject
Location
Language
Cited in
Identifier: ark:/32150/r1j098zb13j
doi:10.15128/r1j098zb13j
Rights: Creative Commons Attribution 4.0 International (CC BY)
Publisher: Durham University
Date Created

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Last modified: 2021:04:12 09:20:26+01:00

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