A Galerkin least-square stabilisation technique for hyperelastic biphasic soft tissue

Vignollet, J., Kaczmarczyk, L. and Pearce, C.J. (2013) A Galerkin least-square stabilisation technique for hyperelastic biphasic soft tissue. Computers and Structures, 118, pp. 109-114. (doi:10.1016/j.compstruc.2012.10.010)

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Abstract

An hyperelastic biphasic model is presented. For slow-draining problems (permeability less than 1 × 10−2 mm4 N−1 s−1), numerical instabilities in the form of non-physical oscillations in the pressure field are observed in 3D problems using tetrahedral Taylor–Hood finite elements. As an alternative to considerable mesh refinement, a Galerkin least-square stabilisation framework is proposed. This technique drastically reduces the pressure discrepancies and prevents these oscillations from propagating towards the centre of the medium. The performance and robustness of this technique are demonstrated on a 3D numerical example.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Kaczmarczyk, Dr Lukasz and Pearce, Professor Christopher
Authors: Vignollet, J., Kaczmarczyk, L., and Pearce, C.J.
College/School:College of Science and Engineering > School of Engineering > Infrastructure and Environment
Journal Name:Computers and Structures
Publisher:Elsevier - Science Direct
ISSN:0045-7949
ISSN (Online):1879-2243
Published Online:05 November 2012

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