Finite element simulation of strain localization on a shear band of sand under plane strain condition
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Author list: Li F., Peng F., Lei L., Kongkitkul W.
Publication year: 2010
Journal: Yanshilixue Yu Gongcheng Xuebao/Chinese Journal of Rock Mechanics and Engineering (1000-6915)
Volume number: 29
Issue number: 4
Start page: 850
End page: 857
Number of pages: 8
ISSN: 1000-6915
Abstract
On the basis of the local strain fields in the specimen obtained from the drained plane strain compression (PSC) test on saturated sand, the strain localization on a shear band induced by post-peak softening is investigated. Under plane strain condition, the strain localization starts around the peak stress state; and a V-shaped shear band is formed at the residual stress state. It can be seen that sand has progressive failure feature with shear banding. The strain localization on a shear band induced by post-peak softening is one of the most important deformations and strength characteristics of sand. On the basis of dynamic relaxation method, a nonlinear finite element analysis(FEA) technique incorporating the three-component elasto-viscoplastic constitutive model for sand is developed to simulate the strain localization on a shear band. A strain localization parameter, S, is introduced into the constitutive model to describe the post-peak softening and shear banding. No direction of shear banding is specified in the finite element simulation. The direction of shear banding is implicitly assumed to be consistent with the direction of maximum shear strain. It is shown that the presented FEA can well simulate the strain localization on a shear band; and the maximum shear strain around the shear band is very close between physical test and finite element simulation. Therefore, the whole process simulation from pre-peak hardening, peak, post-peak softening to the residual stress state is implemented in the FEA. And the quantitative analysis of strain localization on a shear band for sand could also be done by the presented FEA technique.
Keywords
Plane strain compression(PSC), Shear band, Soil mechanics, Strain localization