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A comparison of approaches for modelling poro-mechanics in the Material Point Method

Pretti, G.; Coombs, W.M.; Augarde, C.E.

Authors



Abstract

When it comes to the analysis of fully saturated porous materials, a plethora of formulations [1] are available in the literature. Among them, the so-called u − p formulation constitutes a well-established approach when low-frequency problems are considered. It can, however, exhibit instabilities due to the discretisation as primary variables of physically different quantities, i.e., a displacement and a pressure field. Two techniques for dealing with this instability (the Taylor-Hood family of elements and the Polynomial Pressure Projection) are summarised and cross-compared for the Material Point Method and the Generalised Interpolation Material Point Method.

Presentation Conference Type Conference Paper (unpublished)
Conference Name UKACM 2022
Start Date Apr 20, 2022
End Date Apr 22, 2022
Deposit Date Apr 21, 2022
Public URL https://durham-repository.worktribe.com/output/1137460
Publisher URL https://www.ukacm2022.ukacm.org/