Diffuse bifurcations engraving diverse shear bands in granular materials
File(s)20170503a_NAG-16-0128.R2_manuscript.pdf (1.92 MB)
Accepted version
Author(s)
Yamakawa, Y
Ikeda, K
Saiki, I
Desrues, J
Tanaka, RJ
Type
Journal Article
Abstract
Shear bands with characteristic spatial patterns observed in an experiment for a cubic or parallelepiped
specimen of dry dense sand were simulated by numerical bifurcation analysis using the Cam-clay plasticity
model. By incorporating the subloading surface concept into the plasticity model, the model became capable
of reproducing hardening/softening and contractive/dilative behavior observed in the experiment. The model
was re-formulated to be compatible with the multiplicative hyperelasto-plasticity for nite strains. This
enhanced constitutive model was implemented into a nite-element code reinforced by a stress updating
algorithm based on the return-mapping scheme, and by an efficient numerical procedure to compute critical
eigenvectors of elastoplastic tangent stiffness matrix at bifurcation points. The emergence of diamond-like
and column-like diffuse bifurcation modes breaking uniformity of the materials, followed by the evolution
of shear bands through strain localization, was observed in the analysis. In the bifurcation analysis of plane
strain compression test, unexpected bifurcation modes, which break out-of-plane uniformity and lead to
three-dimensional diamond-like patterns, were detected. Diffuse bifurcations, which are difficult to observe
by experiments, have thus been found as a catalyst creating diverse shear band patterns.
specimen of dry dense sand were simulated by numerical bifurcation analysis using the Cam-clay plasticity
model. By incorporating the subloading surface concept into the plasticity model, the model became capable
of reproducing hardening/softening and contractive/dilative behavior observed in the experiment. The model
was re-formulated to be compatible with the multiplicative hyperelasto-plasticity for nite strains. This
enhanced constitutive model was implemented into a nite-element code reinforced by a stress updating
algorithm based on the return-mapping scheme, and by an efficient numerical procedure to compute critical
eigenvectors of elastoplastic tangent stiffness matrix at bifurcation points. The emergence of diamond-like
and column-like diffuse bifurcation modes breaking uniformity of the materials, followed by the evolution
of shear bands through strain localization, was observed in the analysis. In the bifurcation analysis of plane
strain compression test, unexpected bifurcation modes, which break out-of-plane uniformity and lead to
three-dimensional diamond-like patterns, were detected. Diffuse bifurcations, which are difficult to observe
by experiments, have thus been found as a catalyst creating diverse shear band patterns.
Date Issued
2017-07-27
Date Acceptance
2017-05-19
Citation
International Journal for Numerical and Analytical Methods in Geomechanics, 2017, 42 (1), pp.3-33
ISSN
1096-9853
Publisher
Wiley
Start Page
3
End Page
33
Journal / Book Title
International Journal for Numerical and Analytical Methods in Geomechanics
Volume
42
Issue
1
Copyright Statement
This is the peer reviewed version of the following article: Yamakawa Y, Ikeda K, Saiki I, Desrues J, Tanaka RJ. Diffuse bifurcations engraving diverse shear bands in granular materials. Int J Numer Anal Meth Geomech. 2018;42: 3–33, which has been published in final form at https://doi.org/10.1002/nag.2711. This article may be used for non-commercial purposes in accordance With Wiley Terms and Conditions for self-archiving.
Subjects
Science & Technology
Technology
Engineering, Geological
Materials Science, Multidisciplinary
Mechanics
Engineering
Materials Science
Cam-clay plasticity
diffuse bifurcation
granular materials
shear bands
strain localization
STRAIN LOCALIZATION
UNCONVENTIONAL PLASTICITY
ISOTROPIC CONSOLIDATION
ELASTOPLASTIC SOLIDS
SUBLOADING SURFACE
FINITE STRAIN
SOILS
MODEL
DEFORMATION
PRESSURE
0905 Civil Engineering
Geological & Geomatics Engineering
Publication Status
Published