4.7 Article

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

Journal

ACTA GEOTECHNICA
Volume 7, Issue 4, Pages 297-311

Publisher

SPRINGER HEIDELBERG
DOI: 10.1007/s11440-012-0168-5

Keywords

Hourglass stabilization; Locking-free; Reduced integration; Saturated soils

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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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