Analytic stress solutions for a lined circular tunnel under frictional slip contact conditions

作     者：Lu, Aizhong Yin, Chonglin Zhang, Ning 

作者机构：North China Elect Power Univ Inst Hydroelect & Geotech Engn Beijing 102206 Peoples R China 

出 版 物：《EUROPEAN JOURNAL OF MECHANICS A-SOLIDS》 (欧洲力学杂志；A:固体力学)

年 卷 期：2019年第75卷

页      面：10-20页

核心收录：

学科分类：08[工学] 080101[工学-一般力学与力学基础] 0801[工学-力学（可授工学、理学学位）] 

基　　金：National Natural Science Foundation of China [11572126  51704117] 

主　　题：Tunnel Support delay Frictional slip boundary Complex variable method Optimization method Stress analytic solutions 

摘      要：The contact condition on the interface between the lining and the surrounding rock is assumed to be frictional slip contact. The state of the minimum relative sliding on the interface is considered as the true working state of the lining. The mechanical process of the support delay is taken into consideration, and the stress analytic solutions for a lined circular tunnel subjected to in situ stress and internal water pressure are derived based on the complex variable method and optimization theory. The analytic solutions are verified by finite element method. Under different friction coefficients and lateral pressure coefficients, the distributions of the tangential stresses along the inner and outer boundaries of the lining, the contact stresses and the tangential displacement discontinuity value along the interface are given. There exists a threshold of the friction coefficient that distinguishes the cases of the perfect bonding contact and the frictional slip contact, which is related to the lateral pressure coefficient and the material parameters.