中南大学学报（自然科学版）2023，Vol.54Issue(11)：4493-4503,11.DOI:10.11817/j.issn.1672-7207.2023.11.026
基于改进迭代求解的双孔洞围岩应力场解析研究
Study on stress field analysis for rock mass containing two cavities based on improved iterative solution
摘要
Abstract
To address the issue of calculating the residual surface stress during the process of stress iteration solution in the rock mass containing two cavities,a new analytic method was proposed.By introducing the optimization technique,the coordinate transformation of the cavity boundary points was directly realized without considering the of inverse mapping function,so that the error caused by solving inverse mapping function can be avoided,and then the stress solution for plate containing two arched cavities with various layouts were calculated,and corresponding numerical simulations were performed to verify the proposed method.The results show that the more precise stress solution around the arched cavities can be obtained by the proposed method,the computational difficulty is reduced.Under uniaxial compression,the tensile cracks occur near the central top and bottom of hole of the tensile stress concentrations.However,the ultimate failure is characterized by the coalescence in the area between the two holes.In addition,the strength of rock mass containing two arched cavities with different angles shows good linear relationship with the compressive stress concentration factor(SCF),which indicates that the ultimate failure of hole depends on the compressive stress concentration factor around the hole boundary.关键词
复变函数方法/共形映射/应力解析解/双孔洞体系/数值模拟Key words
complex variable method/conformal mapping/stress analytical solution/two-cavity system/numerical simulation分类
建筑与水利引用本文复制引用
蔡鑫,陈立业,周子龙,谭力海,阳俊..基于改进迭代求解的双孔洞围岩应力场解析研究[J].中南大学学报（自然科学版）,2023,54(11):4493-4503,11.基金项目
国家重点研发计划项目(2022YFC2903901) （2022YFC2903901）
国家自然科学基金资助项目(52104111,52274249) （52104111,52274249）
湖南省自然科学基金资助项目(2021JJ30819,2020JJ7059)(Project(2022YFC2903901)supported by the National Key Research and Development Program of China （2021JJ30819,2020JJ7059）
Projects(52104111,52274249)supported by the National Natural Science Foundation of China （52104111,52274249）
Projects(2021JJ30819,2020JJ7059)supported by the Natural Science Foundation of Hunan Province) （2021JJ30819,2020JJ7059）
