A Constitutive Model of Sandstone Considering the Post Peak Behavior

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.

Constitutive model of rock triaxial damage based on the rock strength statistics

“…Moreover, there have also been some notable improvements on the development of rock constitutive relations, one of which is that Jeng et al (2019) conducted a series of strain-controlled tests under different pressure and established a constitutive model based on nonlinear elasticity and generalized plasticity to explore the elasto-plastic behavior of sandstone in the post-peak stage. Then, Xu and Yang (2017) experimentally studied the behaviour of microcracks and established a constitutive model to discuss the strain energy and damage revolution on the fissured rock.…”