Instability Analysis of Sand under Undrained Biaxial Loading with Rigid and Flexible Boundary
Publication: International Journal of Geomechanics
Volume 17, Issue 1
Abstract
The emergence of possible instability modes under undrained biaxial shear of sand was investigated to develop better understanding about the onset of localized and liquefaction-type solid-fluid instability modes using a generalized three-dimensional (3D) material model. These two modes are the primary instability modes that can exist in most cases while conducting undrained biaxial testing of sand at different densities, confining pressures, and boundary conditions. Using a 3D rate-independent and nonassociative constitutive model, the instability analysis was performed as a plane-strain bifurcation problem from a uniform stress-strain state. Large deformation formulation was used to simulate the biaxial test configuration with both rigid and flexible boundaries in the lateral direction. The existing theoretical framework of solid-fluid instability analysis under rigid boundaries was extended to the flexible lateral boundary condition. Interestingly, the onset of solid-fluid instability modes is significantly influenced by the choice of boundary conditions. The trends for the onset of various undrained instability modes were assessed as a function of material state variables.
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Published In
International Journal of Geomechanics
Volume 17 • Issue 1 • January 2017
Copyright
© 2016 American Society of Civil Engineers.
History
Received: Aug 31, 2015
Accepted: Mar 11, 2016
Published online: Apr 26, 2016
Discussion open until: Sep 26, 2016
Published in print: Jan 1, 2017
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