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

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...

Full description

Saved in:
Bibliographic Details
Published inActa geotechnica Vol. 7; no. 4; pp. 297 - 311
Main Authors McGann, Christopher R., Arduino, Pedro, Mackenzie-Helnwein, Peter
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer-Verlag 01.12.2012
Springer Nature B.V
Subjects
Complex Fluids and Microfluidics
Computational fluid dynamics
Earthquakes
Engineering
Finite element analysis
Foundations
Geoengineering
Geophysics
Geotechnical Engineering & Applied Earth Sciences
Hydraulics
Plate tectonics
Porosity
Porous media
Research Paper
Seismology
Soft and Granular Matter
Soil Science & Conservation
Solid Mechanics
Reduced integration
Saturated soils
Hourglass stabilization
Locking-free
Online AccessGet full text

Cover

More Information
Summary: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.
Bibliography:SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 14
ObjectType-Article-2
content type line 23
ISSN:1861-1125
1861-1133
DOI:10.1007/s11440-012-0168-5