弹性模量跌减效应下应变软化围岩开挖力学响应

doi:10.13722/j.cnki.jrme.2023.0368

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摘要深埋隧道围岩常处于高地应力、高孔隙水压、高地温等特殊赋存环境中，开挖后易发生大变形，围岩变形过大会引起结构的变形、开裂甚至失稳破坏。抑制围岩产生过大变形对深埋隧道的安全性和可靠性至关重要。通过既有研究中围岩在三轴循环加卸载试验中的力学响应，采用非线性拟合方法，构建岩石弹性模量非线性跌减模型，可有效反映弹性模量在围压与塑性应变影响下的变化趋势。基于岩石模量跌减模型，采用有限差分法推导出深埋隧道应变软化围岩应力–应变场与位移场的数值解答，结合该数值解答，并根据围压及塑性应变对围岩弹性模量的影响，分析临界软化系数及围岩质量对塑性区域围岩弹性模量分布状况的影响，探讨隧道在不同弹性模量模型下的围岩变形规律，结果表明，围岩在弹性区的变形主要受峰值弹性模量影响，弹性模量在塑性区域非线性变化，对应塑性软化阶段变化较快，变化量也更大，进入塑性残余阶段后变化率骤减，弹性模量趋于稳定，并在洞壁处达到最小，以往假定弹性模量为恒定峰值的研究方法对洞壁处围岩变形的求解偏小，隧道设计的安全性不足。

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	崔岚1
	廖哲贤2
	盛谦1
	郑俊杰3
	周亮梅1

关键词 ：岩石力学, 深埋隧道, 弹性模量, 非线性跌减, 应变软化, 有限差分法

Abstract：After deep tunnel excavation，rock mass is prone to collapse and instability caused by severe deformation or rock burst disaster caused by block fragmentation，so the evaluation of disturbance characteristics of deep rock mass is of great practical significance to ensure engineering safety. The elastic modulus of rock is an important mechanical parameter that affects the degree of deformation after tunnel excavation. In this paper，through the mechanical response of peripheral rock in triaxial cyclic loading and unloading test in the established research，a nonlinear fitting method is used to construct a nonlinear drop model of rock elastic modulus，which can effectively reflect the change trend of elastic modulus under the influence of peripheral pressure and plastic strain. Based on the rock modulus drop model，the finite difference method is used to derive the numerical solution of the stress-strain field and displacement field of the strain-softened surrounding rock in deep buried tunnels. Combined with the numerical solution and according to the peripheral pressure and plastic strain on the peripheral elastic modulus or not，the influence of the critical softening coefficient and the quality of the surrounding rock on the distribution of the peripheral rock elastic modulus in the plastic region is analyzed，and the peripheral deformation law of the surrounding rock in the tunnels with different elastic modulus models is discussed. The results show that the deformation of the surrounding rock in the elastic zone is mainly affected by the peak modulus of elasticity，the modulus of elasticity changes nonlinearly in the plastic region，corresponding to the plastic softening stage of the change is faster and the amount of change is also larger，and the rate of change decreases sharply in the plastic residual stage，The modulus of elasticity tends to be stable，and reaches a minimum in the cave wall，the previous research method of elasticity of the modulus of elasticity is assumed to be the constant peak of deformation of the surrounding rock at the wall of the cave is small，and the safety of tunnel design is insufficient.

Key words： rock mechanics deep tunnel elastic modulus nonlinear drop strain softening finite difference method

引用本文:

崔岚1，廖哲贤2，盛谦1，郑俊杰3，周亮梅1. 弹性模量跌减效应下应变软化围岩开挖力学响应[J]. 岩石力学与工程学报, 2024, 43(S2): 3907-3922.
CUI Lan1，LIAO Zhexian2，SHENG Qian1，ZHENG Junjie3，ZHOU Liangmei1. Excavation disturbance characteristics of strain softening surrounding rock under the attenuation effect of elastic modulus. , 2024, 43(S2): 3907-3922.

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https://rockmech.whrsm.ac.cn/CN/10.13722/j.cnki.jrme.2023.0368 或 https://rockmech.whrsm.ac.cn/CN/Y2024/V43/IS2/3907

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