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Critical state plasticity, Part VI: Meso-scale finite element simulation of strain localization in discrete granular materials
 

Summary: Critical state plasticity, Part VI: Meso-scale finite element
simulation of strain localization in discrete granular materials
Ronaldo I. Borja
, Jos´e E. Andrade
Department of Civil and Environmental Engineering, Stanford University, Stanford, CA 94305, USA
Abstract
Development of accurate mathematical models of discrete granular material behavior requires
a fundamental understanding of deformation and strain localization phenomena. This paper
utilizes a meso-scale finite element modeling approach to obtain an accurate and thorough
capture of deformation and strain localization processes in discrete granular materials such
as sands. We employ critical state theory and implement an elastoplastic constitutive model
for granular materials, a variant of a model called "Nor-Sand," allowing for non-associative
plastic flow and formulating it in the finite deformation regime. Unlike the previous versions
of critical state plasticity models presented in a series of "Cam-Clay" papers, the present
model contains an additional state parameter that allows for a deviation or detachment of
the yield surface from the critical state line. Depending on the sign of this state parameter,
the model can reproduce plastic compaction as well as plastic dilation in either loose or dense
granular materials. Through numerical examples we demonstrate how a structured spatial
density variation affects the predicted strain localization patterns in dense sand specimens.

  

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

 

Collections: Engineering