高级搜索

    考虑非线性强度特性的岩石统计损伤力学模型

    A Statistical Damage Model for Rocks Considering Nonlinear Strength Characteristics

    • 摘要: 为探讨深部高应力环境下岩石的力学行为与损伤演化机制,开展了不同围压下砂岩的三轴压缩试验,从而研究其变形强度特性及宏观/细观破坏模式.结果表明:砂岩应力-应变曲线均呈现先硬化后软化的特征,且随围压增大,峰后应变软化效应逐渐减弱,破坏模式由脆性单斜剪切向延性塑性变形过渡,表现出明显的脆性-延性转化规律.针对线性Mohr-Coulomb准则在高应力下明显高估岩石强度的局限,引入应力误差项修正,所建准则能合理描述峰值与残余强度的非线性增长趋势.进一步结合统计损伤理论,构建了基于非线性强度准则的岩石损伤力学模型,其预测曲线与试验数据吻合,验证了该模型在表征深部高应力下岩石非线性损伤演化方面的有效性,可为深部地下工程稳定性分析提供理论支撑.

       

      Abstract: To investigate the mechanical behavior and damage evolution of rock masses under high stress in deep environments,triaxial compression tests were conducted on sandstone under varying confining pressures to study its deformation strength characteristics and macro-micro failure modes.The results indicate that under triaxial compression conditions,stress-strain curves of sandstone exhibit initial hardening followed by softening.As the confining pressure increases,the post-peak strain softening of sandstone gradually weakens,and the failure mode changes from brittle single shear failure to ductile plastic deformation,demonstrating distinct brittle-ductile transition characteristics.To address the limitation of the linear Mohr-Coulomb criterion,which significantly overestimates rock strength under high stress condition,a modified strength criterion was established by introducing a stress error term,accurately reflecting the nonlinear growth patterns of peak and residual strength with confining pressure.Combining statistical damage mechanics,a statistical damage model based on the nonlinear strength criterion was developed.The model’s prediction curve aligns with experimental data,demonstrating its ability to accurately describe the nonlinear damage evolution process of rocks under deep high-stress conditions,providing theoretical support for the stability analysis of deep underground engineering.

       

    /

    返回文章
    返回