A new statistical damage model for true triaxial pre-and post-peak behaviors of rock considering intermediate principal stress and initial compaction effects

Abstract

Deep underground engineering excavation will induce complex change in the true three-dimensional stress state of the surrounding rock, causing rock damage and then leading to a change in mechanical properties. In this research, the true triaxial compression tests are conducted to study the influence of σ₂ and σ₃ on the mechanical properties of marble, such as the characteristic strength (crack initiation stress σ_ci, damage stress σ_cd, peak strength σ_p, and residual strength σ_r), post-peak deformation, ductility and brittleness. The peak strength σ_p, crack initiation stress σ_ci and damage stress σ_cd of rock increase with the increase in σ₂, while the variation of residual strength σ_r with σ₂ is different from that of peak strength. As σ₂ increases or σ₃ decreases, the pre-peak plasticity of the rock decreases, the post-peak curve shape of the rock changes significantly, and the overall shape of the post-peak curve transforms from Class I to Class II. The Mogi-Coulomb strength criterion with intermediate principal stress effect was used to characterize the rock microelement strength, and then the new statistical damage constitutive model considering the initial compaction effect and damage threshold was proposed, and the model validation was carried out based on the experimental results and the effects of the proposed model parameters m and F₀ on the rock strength and post-peak curve morphology were further explored.