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

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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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Authors and Affiliations

  1. Department of Civil and Environmental Engineering, University of Washington, Box 352700, Seattle, WA, 98195, USA

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

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  1. Christopher R. McGann
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  2. Pedro Arduino
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  3. Peter Mackenzie-Helnwein
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Correspondence to Christopher R. McGann.

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McGann, C.R., Arduino, P. & Mackenzie-Helnwein, P. Stabilized single-point 4-node quadrilateral element for dynamic analysis of fluid saturated porous media. Acta Geotech. 7, 297–311 (2012). https://doi.org/10.1007/s11440-012-0168-5

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

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