A constitutive model of sandstone considering the post peak behavior

F. S. Jeng, Meng-Chia Weng*, F. H. Yeh, Y. H. Yang, T. H. Huang

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


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.

Original languageEnglish
Pages (from-to)13-25
Number of pages13
JournalJournal of Mechanics
Issue number1
StatePublished - 1 Feb 2019


  • Constitutive model
  • Generalized plasticity
  • Post-peak behavior
  • Sandstone


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