Elastoplastic Analysis of Two-Layered Circular Lining Based on the Unified Strength Theory

Ning Zhang,Haomin Guo,Xiaokun Xie,Qingliang Wu,Erhao Zhu,Shaoshuai Shi,Tahir Khan,Yinliang Tian

doi:10.1155/2018/4949364

Abstract

Based on the Unified Strength Theory (UST), elastoplastic analysis of the two-layered circular lining is carried out. The stresses, displacements, and the elastic and plastic zones in both layers are discussed under different values of Young’s moduli of the inner and outer layers. The results reveal that, compared to the single-layered lining, the tangential stress distributions in the two-layered linings are more reasonable along the radial direction, which is beneficial to enhance the overall elastic and plastic ultimate bearing capacities. When considering the intermediate stress (i.e., the axial load), the elastic ultimate bearing capacity will be higher. However, the plastic ultimate bearing capacity remains unchanged. Moreover, a comparison between the Unified Strength Theory and Tresca Criterion is analyzed as well.

Highlights

Along with the construction of underground caverns in depth, the support technique needs to develop to assess the stability of the structures and surrounding rock [1]
An elastoplastic analysis details such structure; a two-layered circular lining is conducted based on the Unified Strength Theory, which can take the intermediate principal stress into consideration
The results show that the distributions of stresses in the two-layered lining are more reasonable compared to the traditional single-layered lining

Summary

Introduction

Along with the construction of underground caverns in depth, the support technique needs to develop to assess the stability of the structures and surrounding rock [1]. Thick-walled hollow cylinder is one of the widely used support structures. To optimize the structural design and make the best usage of construction materials, pressurized hollow cylinders are common cases in deepburied circular caverns. For the elastic plane problem on circular structures, a lot of literature can be found [2]. The well-known Lame solution presents the stress and displacement fields for a single-layered hollow cylinder subjected to axisymmetric loads. Lu et al [4], by using the semiinverse method, presented the elastic plane stress solution of a lined vertical shaft in isotropic ground. Wu and Lu [5]

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Results

Conclusion