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Stabilized single-point 4-node quadrilateral element for dynamic analysis of fluid saturated porous media

McGann, Christopher R. / Arduino, Pedro / Mackenzie-Helnwein, Peter

Abstract An accurate and efficient low-order quadrilateral mixed u–p element suitable for dynamic analysis of fluid saturated porous media is presented. The element uses physical hourglass stabilization to facilitate single-point integration for the solid phase, and non-residual stabilization of the fluid phase to circumvent instability in the incompressible-impermeable limit due to the use of equal-order interpolation for the displacement and pressure fields. Element behavior is verified and demonstrated through several numerical examples.

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Stabilized single-point 4-node quadrilateral element for dynamic analysis of fluid saturated porous media

McGann, Christopher R. / Arduino, Pedro / Mackenzie-Helnwein, Peter

Abstract An accurate and efficient low-order quadrilateral mixed u–p element suitable for dynamic analysis of fluid saturated porous media is presented. The element uses physical hourglass stabilization to facilitate single-point integration for the solid phase, and non-residual stabilization of the fluid phase to circumvent instability in the incompressible-impermeable limit due to the use of equal-order interpolation for the displacement and pressure fields. Element behavior is verified and demonstrated through several numerical examples.

Stabilized single-point 4-node quadrilateral element for dynamic analysis of fluid saturated porous media

McGann, Christopher R. / Arduino, Pedro / Mackenzie-Helnwein, Peter

Abstract An accurate and efficient low-order quadrilateral mixed u–p element suitable for dynamic analysis of fluid saturated porous media is presented. The element uses physical hourglass stabilization to facilitate single-point integration for the solid phase, and non-residual stabilization of the fluid phase to circumvent instability in the incompressible-impermeable limit due to the use of equal-order interpolation for the displacement and pressure fields. Element behavior is verified and demonstrated through several numerical examples.

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Title:

Stabilized single-point 4-node quadrilateral element for dynamic analysis of fluid saturated porous media

Contributors:

McGann, Christopher R. (author) / Arduino, Pedro (author) / Mackenzie-Helnwein, Peter (author)

Published in:

Acta Geotechnica ; 7

Publication date:

2012

ISSN:

DOI:

https://doi.org/10.1007/s11440-012-0168-5

Type of media:

Article (Journal)

Type of material:

Print

Language:

English

Keywords:

Geotechnik , Ingenieurgeologie

Classification:

BKL: 56.20 Ingenieurgeologie, Bodenmechanik / 56.20$jIngenieurgeologie$jBodenmechanik
DDC: 624.15105

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