考虑空隙压密阶段特征的岩石应变软化统计损伤模拟方法
Statistical damage simulation method of strain softening deformation process for rocks considering characteristics of void compaction stage
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摘要: 为建立能很好地反映岩石变形破坏全过程模拟方法,针对现有岩石统计损伤本构模型难以反映初始压密阶段变形非线性的局限性与不足,首先,在充分探讨空隙岩石变形机理基础上,采用宏观与微观相结合的分析方法,将空隙岩石抽象为岩石骨架和空隙两部分组成,建立空隙岩石变形分析模型;然后,在探讨空隙部分变形机理基础上,考虑空隙压密引起变形的不可恢复性特征,建立空隙部分变形分析方法,同时,引入统计损伤理论,建立岩石骨架变形分析方法,进而建立模拟空隙岩石变形破坏全过程的统计损伤本构模型,并给出了其参数确定方法。该模型不仅能反映空隙岩石的应变软化特征,而且,还能较好地反映空隙岩石在初始压密阶段的变形非线性特点。最后,通过试验曲线、本文及现有同类模型理论分析曲线的比较,表明了该模型与方法的合理性与优越性。Abstract: To establish a good simulation method for the full deformation and failure process of rocks, the deficiencies and limitations of the existing statistical damage constitutive models for rocks are investigated, which can not reflect the nonlinear deformation characteristics at the initial void compaction stage. Firstly, based on the full discussion of the deformation mechanism of porous rocks and the combination of the methods for macro analysis and micro analysis, a deformation analysis model for porous rocks is established by abstracting porous rocks into two parts, rock skeletons and voids. Then, on the basis of the discussion of the deformation mechanism of void part, a deformation analysis method for void part is proposed by considering the unrecoverable characteristics of deformation caused by void compaction. Meanwhile, a deformation analysis method for skeleton part is also developed by introducing the statistical damage theory. Moreover, a new statistical damage constitutive model to simulate the full deformation and failure process of porous rocks is hence established, and the relevant determination methods for the model parameters are also provided. This model can reflect the properties of strain softening deformation of porous rocks and the characteristics of the nonlinear deformation at the initial void compaction stage. Finally, the rationality and superiority of this model are validated by comparing the experimental and theoretical curves of the proposed model and other existing similar models.