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Overcoming Volumetric Locking in Three-Dimensional Material Point Analysis

Coombs, W.M.; Wang, L.; Augarde, C.E.

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Authors

L. Wang



Contributors

M. Barla
Editor

A. Di Donna
Editor

D Sterpi
Editor

Abstract

The material point method is ideally suited to modelling large deformation problems in three dimensions, especially in cases where the finite element method struggles due to mesh distortion. However, when the method is used to analyse problems with near-incompressible material behaviour, such as in geotechnical engineering using models with isochoric plastic flow, it suffers from severe volumetric locking. This causes the method to over predict the forces for a given displacement and induces spurious stress oscillations through the problem domain. Several methods have been proposed in the finite element literature but few of these have been applied to the material point method. In this paper we present a way to avoid volumetric locking for three-dimensional material point analyses with simplex elements (linear tetrahedra) using an F bar patch approach. Not only does the technique avoid the over-stiff behaviour associated with volumetric locking but it also reduces the stress oscillations in the method, which are often attributed to cell-crossing instabilities. The formulation is validated against two three-dimensional benchmark problems.

Citation

Coombs, W., Wang, L., & Augarde, C. (2021). Overcoming Volumetric Locking in Three-Dimensional Material Point Analysis. In M. Barla, A. Di Donna, & D. Sterpi (Eds.), Challenges and Innovations in Geomechanics. IACMAG 2021 (772-778). https://doi.org/10.1007/978-3-030-64514-4_82

Acceptance Date Jan 24, 2020
Online Publication Date Jan 15, 2021
Publication Date Jan 15, 2021
Deposit Date Nov 8, 2022
Publicly Available Date Nov 9, 2022
Publisher Springer Verlag
Pages 772-778
Series Title Lecture Notes in Civil Engineering
Series Number 125
Book Title Challenges and Innovations in Geomechanics. IACMAG 2021.
ISBN 978-3-030-64513-7
DOI https://doi.org/10.1007/978-3-030-64514-4_82
Public URL https://durham-repository.worktribe.com/output/1643653

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