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边坡下伏地下圆形洞室的弹性应力解析 被引量:6

Elastic stress analytic solution of the round and underground cavern under slope
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摘要 根据洞室与边坡的相对位置,将其分为深埋地下洞室与浅埋地下洞室,并分别建立了计算模型。将浅埋圆形洞室视为分布荷载作用下半无限体表面附近的孔洞的应力分析问题,采取复变函数的保角映射得到了浅埋洞室的应力解析解。将深埋洞室视为一个双向受压无限板孔应力集中问题,得到了边坡下伏深埋圆形洞室的应力解析解。以某填筑边坡下地下圆形洞室为例,计算得到了浅埋圆形洞室周边的径向应力与环向应力分布,计算结果表明洞室圆心水平线上的环向压应力随着与洞周距离的增加逐渐减小,但径向压应力却是首先增加,然后才逐步减小。洞顶圆周出现环向拉应力,随着越来越接近地表,环向应力逐步转变为压应力并且越来越大,而径向应力逐渐变大。洞周环向拉应力在洞顶与洞底数值最大,洞室左右两端洞周环向压应力数值最大;洞周径向应力在洞顶、洞底数值较小,左右两端洞周应力最大。 The underground rock caverns were divided into deep-buried and shallow-buried cavern accord ing to the spatial location of slope and cavern. The calculation models of caverns were built. The shal- low-buried cavern's stress analytic solution was derived by elasticity theory and complex function meth od and the deep-buried cavern was regarded as a stress concentration problem of biaxial compression infi nite plate pole and the analytic solution of stress was example, the distributions of radial and hoop stress gotten. Taken a round cavern under earth bank for are obtained from calculation. The calculation re- suits show that the circumferential compression stress of the horizontal line through circle centre decrea ses, but the radial compression stress firstly increases and then decreases with the increase of distance to the hole's periphery. The circumferential tensile stress appears on the roof and the tensile stress trans fers into compression stress and becomes bigger from roof to earth surface. The circumferential tensile stress is the biggest on the roof and bottom of cavern. The circumferential compression stress is the biggest on the side of cavern. The radial compression stress is smaller on the roof and bottom of cavern and it is biggest on the side of cavern.
出处 《计算力学学报》 EI CAS CSCD 北大核心 2012年第1期62-68,共7页 Chinese Journal of Computational Mechanics
基金 住房与城乡建设部2011年科技项目计划(2011-K3-15) 湖南省教育厅青年项目(11B133) 2010中南林业科技大学人才引进项目(104-0155)
关键词 边坡下地下洞室 深埋与浅埋洞室 复变函数法 应力解析解 underground cavern under slope deep-buried and shallow-buried rock cavern complexfunction method stress analytic solution
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