考虑岩石微损伤的改进内时损伤本构模型研究

    Investigation into an improved endochronic damage constitutive model accounting for micro-damage in brittle rocks

    • 摘要: 揭示岩石不同变形阶段(压密、线弹性、弹塑性、残余变形)内部损伤机制对各阶段变形行为的影响,是岩石多阶段破坏分析的关键。然而,现有模型常忽略线弹性阶段因裂隙萌生导致的损伤累积,且屈服准则的准确定义也面临挑战。因此,为更准确描述岩石损伤演化特征及其对变形的影响,解决传统弹塑性本构中屈服面与损伤耦合机制在各变形阶段定义复杂等问题,本文提出考虑岩石微损伤的改进内时损伤本构模型,以更好反映岩石破坏全过程的内部损伤演化及变形情况。首先,基于无需计算屈服面的内时本构模型,针对其对岩石压密段表征不足的问题,提出内时压密系数以描述孔隙闭合导致的非线性特征;其次,考虑从线弹性阶段起始的微损伤累积,建立基于内时量度的Weibull损伤方程,以反映岩石各阶段损伤累积情况,并系统阐述损伤方程中各参数的物理意义。结果表明,所提本构模型与试验结果吻合度高,对比传统内时本构模型和统计损伤模型,本文模型在压密阶段变形模拟中表现更优,且更符合实际裂隙演化引发的损伤演变规律,有效反映各阶段损伤演化对整体变形的影响,验证了其合理性与优越性。

       

      Abstract: Understanding how internal damage mechanisms affects the deformation behavior at each rock deformation stage (compaction, linear elasticity, elastoplasticity, residual) is key to analyzing multi-stage failure. However, existing models often neglect the damage accumulation caused by crack initiation in the linear elastic stage and the accurate definition of the yield criteria also remains challenging. To address these limitations, this study proposes an improved endochronic damage model incorporating micro-damage to better capture rock deformation and damage evolution through the whole failure process. First, an endochronic compaction coefficient is introduced to capture nonlinear pore closure effects, improving the model's compaction stage representation. Second, a Weibull-based damage equation using endochronic measures is established to quantify damage accumulation starting from the linear elastic stage, with systematic parameter interpretation. Results show that the model aligns well with experiments, outperforming traditional models in simulating compaction stage deformation and capturing fracture-induced damage evolution, thereby validating its accuracy and applicability.

       

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