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1深埋隧道应变软化弹塑性解的强度准则效应显示文摘为了探究强度准则效应对应变软化隧道围岩稳定性的影响,总结隧道围岩分析中常用强度准则表达式,归纳出常用强度准则的统一方程,并结合应变软化模型与非关联流动法则,推导出隧道围岩应力场、塑性区范围及位移的计算方法。研究结果表明:应变软化隧道围岩的强度准则效应显著,内角点外接圆DP(Drucker−Prager)准则、内切圆DP准则、等面积圆DP准则、匹配圆DP准则及Mohr−Coulomb准则对应的结果普遍偏于保守;统一强度理论(b=1)与外角点外接圆DP准则所得结果相对偏于危险;不考虑岩体剪胀特性时会导致所得结果偏于危险。工程应用中,建议优先采用Mogi−Coulomb准则或统一强度理论(b=1/2),并合理考虑围岩剪胀特性,以更好地揭示围岩稳定性问题。高永涛 梁鹏 周喻 2020中南大学学报(自然科学版)2020,51,9:6
2Cyclic constitutive equations of rock with coupled damage induced by compaction and cracking显示文摘In this paper,the cyclic constitutive equations were proposed to describe the constitutive behavior of cyclic loading and unloading.Firstly,a coupled damage variable was derived,which contains two parts,i.e.,the compaction-induced damage and the cracking-induced damage.The compaction-induced damage variable was derived from a nonlinear stress–strain relation of the initial compaction stage,and the cracking-induced damage variable was established based on the statistical damage theory.Secondly,based on the total damage variable,a damage constitutive equation was proposed to describe the constitutive relation of rock under the monotonic uniaxial compression conditions,whereafter,the application of this model is extended to cyclic loading and unloading conditions.To validate the proposed monotonic and cyclic constitutive equations,a series of mechanical tests for marble specimens were carried out,which contained the monotonic uniaxial compression(MUC)experiment,cyclic uniaxial compression experiments under the variable amplitude(CUC-VA)and constant amplitude(CUC-CA)conditions.The results show that the proposed total damage variable comprehensively reflects the damage evolution characteristic,i.e.,the damage variable firstly decreases,then increases no matter under the conditions of MUC,CUC-VA or CUC-CA.Then a reasonable consistency is observed between the experimental and theoretical curves.The proposed cyclic constitutive equations can simulate the whole cyclic loading and unloading behaviors,such as the initial compaction,the strain hardening and the strain softening.Furthermore,the shapes of the theoretical curves are controlled by the modified coefficient,compaction sensitivity coefficient and two Weibull distributed parameters.Chonghong Ren Jin Yu Xueying Liu Zhuqing Zhang Yanyan Cai 2022International Journal of Mining Science and Technology2022,32,5:3
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