Uniform Gradient Element Formulation with Hourglass Control Scheme for Solving Fully Coupled Finite-Element Equations for Saturated Soils
Publication: International Journal of Geomechanics
Volume 16, Issue 1
Abstract
A uniform gradient (UG) element formulation for a four-node quadrilateral element is derived and implemented for solving the fully coupled governing equations for the dynamics of a saturated porous medium. An hourglass control scheme is also derived for eliminating the hourglass modes that arise when using the UG element formulation. The effectiveness of the new formulations is investigated by simulating the quasi-static and dynamics response of a footing and the dynamic response of an earth dam. The results show that the level of excitation of hourglass modes is problem-dependent and mesh-dependent. The proposed method for controlling the hourglass modes is shown to be effective with minimal effect on the computed response.
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Published In
International Journal of Geomechanics
Volume 16 • Issue 1 • February 2016
Copyright
© 2015 American Society of Civil Engineers.
History
Received: May 22, 2013
Accepted: Jan 9, 2015
Published online: May 5, 2015
Discussion open until: Oct 5, 2015
Published in print: Feb 1, 2016
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