考虑中间主应力的深埋圆形隧道弹塑性统一解

上海交通大学学报（自然版） ›› 2013, Vol. 47 ›› Issue (09): 1447-1453.

考虑中间主应力的深埋圆形隧道弹塑性统一解

余东明1，范永丰2，段建新1，骆行文1

1. 中国科学院武汉岩土力学研究所岩土力学与工程国家重点实验室，武汉 430071；2. 郑州大学水利与环境学院，郑州 450001

出版日期:2013-09-28 发布日期:2013-09-28
基金资助:
国家重点基础研究发展规划（973）项目(2013CB036405),西部交通建设科技项目(2011318775680,2011318493720),湖北省自然科学基金项目(Y024041F01)资助

Elastoplastic Unified Solutions to Deep-buried Circular Tunnels Considering Intermediate Principal Stress

YU Dongming1,FAN Yongfeng2，DUAN Jianxin1,LUO Xingwen1

(1. State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan 430071, China； 2. College of Water Conservancy and Environmental Engineering, Zhengzhou University, Zhengzhou 450001, China)

Online:2013-09-28 Published:2013-09-28

摘要/Abstract

摘要：

为了充分考虑中间主应力对深埋圆形隧道的影响，在平面应变假设下将统一强度准则精确匹配为Drucker-Prager强度准则，推导了考虑剪胀特性的理想弹塑性材料在塑性阶段的中间主应力表达式，并结合非关联流动法则推导出深埋圆形隧道塑性区的应力与位移统一解.结果表明，经典的Kastner解为所得应力与位移统一解的特殊情况.同时，根据应力与位移统一解公式并结合实际算例，分析了中间主应力和围岩剪胀角对深埋圆形隧道塑性区的影响规律.

关键词: 中间主应力, 统一强度准则, 剪胀, 平面应变

Abstract:

Taking into consideration the influence of intermediate principal stress on deep-buried circular tunnels, and under plane strain hypothesis, the unified strength criterion was precisely matched to the Drucker-Prager strength criterion. The analytical expression of intermediate principal stress in plastic state for the perfect elastoplastic material with dilatancy was derived from the Drucker-Prager strength criterion. Combining the analytical expression of intermediate principal stress and non-associated flow rule, unified solutions for stress and strain of the tunnel plastic area were obtained. The result shows that the classic solutions of Kastner are special cases of the unified solutions. A practical engineering instance was given according to the unified solutions and the regularities which intermediate and dilation angle act on the surrounding rock of the deepburied circular tunnel plastic area were discussed.

Key words: intermediate principal stress, unified strength criterion, dilatancy, plane strain

中图分类号:

U 451

余东明1，范永丰2，段建新1，骆行文1. 考虑中间主应力的深埋圆形隧道弹塑性统一解[J]. 上海交通大学学报（自然版）, 2013, 47(09): 1447-1453.

YU Dongming1,FAN Yongfeng2，DUAN Jianxin1,LUO Xingwen1. Elastoplastic Unified Solutions to Deep-buried Circular Tunnels Considering Intermediate Principal Stress[J]. Journal of Shanghai Jiaotong University, 2013, 47(09): 1447-1453.

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