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采用弹性-塑性非线性软化―裂缝区三阶段围岩模型,根据全量理论将真实岩体单轴应变非线性软化特征推广,得到复杂应力状态下岩体等效应力和等效应变关系,在此基础上对衬砌压力隧洞在等压荷载作用下进行弹塑性分析。推导出了围岩裂缝区、塑性软化区、弹性区和衬砌内任一点的应力与位移的解析计算式,得到了衬砌边缘岩体开始产生塑性变形的临界内压力。该解析式具有广泛的适用性,基于理想塑性介质的解答如Kastner解和完全脆性介质的解答均为特例。
The three-stage elastic-plastic nonlinear softening-fracture zone surrounding rock model is used to generalize the nonlinear softening characteristics of uniaxial strain of real rock mass based on total mass theory to obtain the relationship between equivalent stress and equivalent strain of rock mass in complex stress state. Based on the lining pressure tunnel elastoplastic analysis under equal pressure load. The analytical formulas of stress and displacement at any point in the crack zone, plastic softening zone, elastic zone and lining of surrounding rock are deduced. The critical internal pressure of plastic deformation of the edge rock mass is obtained. This analytical formula has a wide range of applicability. Solutions based on ideal plastic media, such as Kastner solutions and solutions to completely fragile media, are exceptional.