含空洞地层初始破坏的复变函数解析研究

李倩倩; 张顶立; 房倩

doi:10.11779/CJGE201411018

含空洞地层初始破坏的复变函数解析研究 English Version

北京交通大学城市地下工程教育部重点实验室,北京 100044

基金项目: 国家重点基础研究发展计划（973计划）项目（2010CB732102）; 国家自然科学基金青年基金项目（51308036）; 中央高校基本科研业务费项目（2012JBM081）

详细信息

作者简介:
李倩倩(1986-),女,博士研究生,主要从隧道工程方面的研究。E-mail:11115297@bjtu.edu.cn。

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出版历程
- 收稿日期: 2013-12-03
- 发布日期: 2014-11-19

Analytic solution to initial damage of cavern strata by complex function method

Key Laboratory for Urban Underground Engineering of the Ministry of Education, Beijing Jiaotong University, Beijing 100044, China

摘要

摘要: 为分析城市浅部地层中椭圆形空洞的稳定性,采用复变函数理论求得了自重应力及竖向均布荷载作用下含隐伏椭圆形空洞地层应力场的精确解答。以莫尔-库仑剪切屈服准则及土体抗拉强度等于零为判别依据,求得洞周初始塑性区范围,分析了空洞形状及外部荷载对塑性区位态的影响。结果表明：①在自重应力场下,地层中近圆形或瘦长状椭圆空洞自身稳定性相对扁平状空洞较好;扁平状空洞以受拉破坏为主。②外部荷载作用下地层空洞破坏模式为拉-剪综合破坏,随着外部荷载的增大,剪切塑性区与受拉区贯通,并向地层深部转移,加速地层空洞的失稳破坏。③在大量分析计算的基础上给出了空洞地层的5种分区模式。空洞地层灾变事故控制的核心是空洞结构自身的稳定性,空洞地层初始破坏的分析是确定其破坏模式以及破坏区域的关键。研究结果对城市空洞地层灾变事故的预测、评估及其处理具有重要意义。
- 地层空洞 /
- 初始破坏 /
- 稳定性 /
- 复变求解 /
- 塑性区
Abstract: To analyze the stability of oval cavities in shallow strata in urban areas, taking both gravity stress and vertical uniformly distributed load into consideration, the accurate solution to the stress field of concealed oval cavity is got by means of the complex function method. Assuming that the Mohr-Coulomb yield criterion and the tensile stress of soil equal zero as the discriminate rule, the scope of plastic zone is obtained. The results reveal that: (1) Under the gravity stress field, the stability of round-shaped and slender-shaped cavities is better than that of the flat-shaped ones. The failure of the flat-shaped caverns is mainly caused by tensile stress. (2) Under the action of external load, the failure mode of cavern strata is a comprehensive tensile-shear failure. With the increment of external load, the plastic zone caused by shear stress will connect with the tensile zone, which will accelerate the failure caused by cavity destabilization. (3) Five kinds of partition patterns of cavern strata are put forward based on a great number of analyses and calculations. Therefore, the stability of cavern strata becomes the core of preventing catastrophic accidents. The results are of great significance in the prediction, evaluation and handling of catastrophic accidents caused by cavity strata.
- cavern /
- initial damage /
- stability /
- complex function method /
- plastic zone

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