(1 西安建筑科技大学土木工程学院，西安 710055； 2 青岛理工大学理学院，青岛 266033)

［摘要］基于岩体应变非线性软化本构模型，考虑中间主应力的影响，对等压荷载作用下的衬砌压力隧洞进行弹塑性分析。将围岩划分为裂缝区、塑性区、弹性区，推导出了围岩裂缝区、塑性区、弹性区及衬砌内任一点的应力和位移解析计算公式，并得到了使衬砌边缘岩体开始产生塑性变形的临界内压力。所得到的解与基于理想弹塑性体的Kaster′s解相比，更接近实际隧洞围岩受力变形情况。

［关键词］应变非线性软化；衬砌压力隧洞；围岩；弹塑性分析

Elastic-plastic analysis of pressure tunnel with liner based on strain nonlinear softening rock model

Zhang Liming 1,2, Wang Zaiquan 2, Yin Ying 2, Lu Zeyang 2

(1 Department of Civil Engineering, Xi′an University of Architecture and Technology, Xi′an 710055, China；2 College of Science, Qingdao Technological University, Qingdao 266033, China)

Abstract:According to the strain nonlinear softening constitutive model of practical rock, pressure tunnel with liner under the uniform pressure is analyzed. Different displacement and stress distribution laws of the plastic residual zone, plastic zone, elastic zone and liner are presented. All obtained results are more closely approach to actual values of surrounding rocks, comparing with Kastner′s solution. The critical pressure leading to yield firstly that caused by inner pressure is introduced.

Keywords:strain nonlinear softening; pressure tunnel with liner; surrounding rock; elastic-plastic analysis

*山东省教育厅资助项目（J07YB01）；山东省自然科学基金资助项目（Y2005A03）。