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基于应变等效假设和真实应力概念的弹塑性损伤理论,在真实应力空间内,结合非线性统一强度模型,以广义塑性剪应变为硬化参数,并同时考虑应力水平对硬化速率的影响,建立了无损状态下岩石材料的弹塑性表达式;在名义应力空间内建立考虑围压对损伤速率影响的损伤演化方程,从而建立了岩石材料的三维弹塑性损伤本构模型。本构模型中各物理参数意义明确,与材料试验结果的对比表明,所建立的三维弹塑性损伤本构模型可较好地描述岩石材料在多轴受力情况下的变形与强度特性,为岩体工程的复杂非线性受力分析提供理论依据。
Based on the elasto-plastic damage theory of strain equivalent assumption and true stress concept, the generalized plastic shear strain is taken as the hardening parameter in the real stress space combined with the nonlinear uniform strength model, and the effect of stress level on the hardening rate is also considered The elastic-plastic expression of rock material under non-destructive condition is established. The damage evolution equation considering the influence of confining pressure on the damage rate is established in the nominal stress space, so the three-dimensional elastic-plastic damage constitutive model of rock material is established. The physical parameters of the constitutive model have clear meaning. Compared with the experimental results of the materials, it is shown that the established three-dimensional elastic-plastic damage constitutive model can well describe the deformation and strength characteristics of rock materials under multi-axial stress conditions. Body engineering complex nonlinear force analysis to provide a theoretical basis.