Isogeometric finite element analysis of poroelasticity

Irzal, F., Remmers, J.J.C., Verhoosel, C.V. and De Borst, R. (2013) Isogeometric finite element analysis of poroelasticity. International Journal for Numerical and Analytical Methods in Geomechanics, 37(12), pp. 1891-1907. (doi: 10.1002/nag.2195)

Abstract

We present an alternative numerical approach for predicting the behaviour of a deformable fluid-saturated porous medium. The conventional finite element technology is replaced by isogeometric analysis that uses non-uniform rational B-splines. The ability of these functions to provide higher-order continuity and to exactly represent complex geometries makes isogeometric analysis a suitable candidate for accurately modeling a poroelastic medium. After some preliminaries regarding the formulation of isogeometric finite elements using Bézier extraction and a concise outline of poroelasticity theory, we describe how isogeometric finite elements can be used for a mixed formulation that results in case of a porous medium. The manuscript concludes by one-dimensional and two-dimensional examples, which demonstrate the superiority of the results of isogeometric finite element analysis in terms of the smoothness of the results compared with conventional finite element analysis and suggest that the requirement on the minimum time step for consolidation problems can be mitigated using interpolation functions that possess a higher-order continuity.

• Item Type: Articles
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: De Borst, Professor Rene
• Authors: Irzal, F., Remmers, J.J.C., Verhoosel, C.V., and De Borst, R.
• College/School: College of Science and Engineering > School of Engineering > Infrastructure and Environment
• Journal Name: International Journal for Numerical and Analytical Methods in Geomechanics
• ISSN: 0363-9061
• ISSN (Online): 1096-9853