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A Constitutive Model of Sandstone Considering the Post Peak Behavior

Published online by Cambridge University Press:  18 September 2017

F. S. Jeng ,
M. C. Weng ,
F. H. Yeh ,
Y. H. Yang  and
T. H. Huang
F. S. Jeng
Affiliation:
Department of Civil EngineeringNational Taiwan UniversityTaipei, Taiwan
M. C. Weng*
Affiliation:
Department of Civil and Environmental EngineeringNational University of KaohsiungKaohsiung, Taiwan Department of Civil EngineeringNational Chiao Tung UniversityHsinchu, Taiwan
F. H. Yeh
Affiliation:
Department of Civil EngineeringNational Taiwan UniversityTaipei, Taiwan
Y. H. Yang
Affiliation:
Department of Civil EngineeringNational Taiwan UniversityTaipei, Taiwan
T. H. Huang
Affiliation:
Department of Civil EngineeringNational Taiwan UniversityTaipei, Taiwan
*
*Corresponding author (mcweng@nuk.edu.tw; mcweng@nctu.edu.tw)
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Abstract

In rock engineering, evaluating the post-peak strength and deformation of rock is necessary. To explore the elasto-plastic behavior of sandstone in the post-peak stage, a series of strain-controlled triaxial tests were conducted under different confining pressures. According to the post-peak characteristics, a constitutive model based on nonlinear elasticity and generalized plasticity is proposed. This proposed model is characterized by the following features: (1) Nonlinear elasticity is observed under hydrostatic and shear loading; (2) the associated flow rule is followed; (3) substantial plastic deformation occurs during shear loading; and (4) post-peak softening behavior is accurately predicted. This model requires twelve material parameters, three for elasticity and nine for plasticity. The proposed model was validated by comparing the triaxial test results of Mushan sandstone at different hydrostatic pressures under dry and saturated conditions. In addition, the model is versatile; it can simulate the deformational behavior of two other sandstones. In summary, the proposed model can reasonably predict the complete stress–strain curve of sandstone.

Keywords

Constitutive modelGeneralized plasticityPost-peak behaviorSandstone
Type
Research Article
Information
Journal of Mechanics , Volume 35 , Issue 1 , February 2019 , pp. 13 - 25
Copyright
Copyright © The Society of Theoretical and Applied Mechanics 2019 

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