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Geomechanics and Engineering Volume 9, Number 5, November 2015 , pages 669-685 DOI: https://doi.org/10.12989/gae.2015.9.5.669 |
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Bifurcation analysis of over-consolidated clays in different stress paths and drainage conditions |
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De\'an Sun, Liwen Chen, Junran Zhang and Annan Zhou
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| Abstract | ||
| A three-dimensional elastoplastic constitutive model, also known as a UH model (Yao et al. 2009), was developed to describe the stress-strain relationship for normally consolidated and overconsolidated soils. In this paper, an acoustic tensor and discriminator of bifurcation for the UH model are derived for the strain localization of saturated clays under undrained and fully and partially drained conditions. Analytical analysis is performed to illustrate the points of bifurcation for the UH model with different three-dimensional stress paths. Numerical analyses of cubic specimens for the bifurcation of saturated clays under undrained and fully and partially drained conditions are conducted using ABAQUS with the UH model. Analytical and numerical analyses show the similar bifurcation behaviour of overconsolidated clays in three-dimensional stress states and various drainage conditions. The results of analytical and numerical analyses show that (1) the occurrence of bifurcation is dependent on the stress path and drainage condition; and (2) bifurcation can appear in either a strain-hardening or strain-softening regime. | ||
| Key Words | ||
| bifurcation; over-consolidated; constitutive model; undrained condition; partially drained condition; numerical simulation | ||
| Address | ||
| (1) De\'an Sun, Liwen Chen: Department of Civil Engineering, Shanghai University, Shanghai, 200072, China; (2) Junran Zhang: Henan Province Key Laboratory of Geotechnical and Structural Engineering, North China University of Water Resources and Electric Power, Zhengzhou, 450045, China; (3) Annan Zhou: School of Civil, Environmental & Chemical Engineering, RMIT University, Melbourne, 3001, Australia. | ||