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Modeling deformation banding in dense and loose fluid-saturated sands
 

Summary: Modeling deformation banding in dense and loose
fluid-saturated sands
Jos´e E. Andradea
, Ronaldo I. Borjab
a
Department of Civil and Environmental Engineering, Northwestern University,
Evanston, IL 60208, USA
b
Department of Civil and Environmental Engineering, Stanford University, Stanford, CA 94305, USA
Abstract
Balance of mass and linear momentum of a solid-fluid mixture furnish a complete set of equa-
tions from which the displacements of the solid matrix and the pore pressures can be resolved
for the case of quasi-static loading, resulting in the so-called u - p Galerkin formulation. In
this work, a recently proposed model for dense sands is utilized to model the effective stress
response of the solid matrix appearing in the balance of linear momentum equation. In con-
trast with other more traditional models, inherent inhomogeneities in the porosity field at the
meso-scale are thoroughly incorporated and coupled with the macroscopic laws of mixture
theory. Also, the hydraulic conductivity is naturally treated as a function of the porosity
in the solid matrix, allowing for a more realistic representation of the physical phenomenon.
The aforementioned balance laws are cast into a fully nonlinear finite element program utiliz-

  

Source: Andrade, Jose - Department of Civil and Environmental Engineering, Northwestern University

 

Collections: Engineering