Constitutive Modeling and Discontinuous Bifurcation Assessment in Unsaturated Soils

[+] Author and Article Information
Ricardo Schiava

Department of Civil Engineering, Universidad Nacional de Santiago del Estero (4200), Santiago del Estero, Argentina

Guillermo Etse

CONICET Department of Civil Engieering, Universidad Nacional de Tucumán, Munecas 730, 10A, 4000 Tucumán, Argentinagetse@herrera.unt.edu.ar

J. Appl. Mech 73(6), 1039-1044 (Apr 06, 2006) (6 pages) doi:10.1115/1.2202349 History: Received September 26, 2005; Revised April 06, 2006

In this work an elastoplastic constitutive theory for unsaturated soils is presented. The proposed material model is formulated in the general framework of the theory of porous media and of the flow theory of plasticity. The model is based on an extension of the well-known MRS Lade model whereby the suction and the effective stress tensor are introduced as additional independent and dependent stress components, respectively. Consequently the cap and cone yield conditions of the MRS Lade model both in hardening and softening as well as the internal evolution laws in these regimes are redefined to include the dependency on the suction. The paper illustrates the predictive capability of the extended MRS Lade model for partially saturated soils. Finally, the condition for discontinuous bifurcation in elastoplastic partially saturated porous media as well as the localized failure predictions of the proposed material formulation for different suctions and stress states are also analyzed and discussed.

Copyright © 2006 by American Society of Mechanical Engineers
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Figure 1

Extended MRS-Lade model’s failure envelope in compressive meridian

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Figure 2

Model predictions of plain strain passive (PSP) tests at σ1=−172kPa for different suctions

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Figure 3

Model predictions of plain strain active (PSA) tests at different suctions

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Figure 4

Model predictions of uniaxial compression tests. Axial symmetric stress state (ASS).

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Figure 5

Localization analysis at 90% of PSP test’s peak stresses

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Figure 6

Localization analysis at peak stress of PSP tests

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Figure 7

Localization analysis at residual stress of PSP tests

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Figure 8

Localization analysis at final stage of PSA tests

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Figure 9

Localization analysis at peak. Uniaxial compression test in axial symmetric state.




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