Summary
We demonstrate that the multi-linear interpolation functions used on an Eulerian grid in standard MPM generate volumetric locking, which dominates the solution as bulk compressibility approaches the incompressible limit. We propose a simple relaxation procedure based on a three-field Hu-Washizu principle and demonstrate its applicability to modeling of granular flow problems.
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© 2011 Springer-Verlag Berlin Heidelberg
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Arduino, P., Mackenzie-Helnwein, P., Miller, G.R. (2011). MODELING MULTI-SCALE FLOWUSING THE MATERIAL POINT METHOD. In: Borja, R.I. (eds) Multiscale and Multiphysics Processes in Geomechanics. Springer Series in Geomechanics and Geoengineering. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-19630-0_34
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DOI: https://doi.org/10.1007/978-3-642-19630-0_34
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-19629-4
Online ISBN: 978-3-642-19630-0
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