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工程力学  2014 

倾斜坡体中圆孔扩张的弹性应力分析

, PP. 23-28

Keywords: 斜坡边界,圆孔扩张,复变理论,叠加原理,应力分析

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Abstract:

针对实际工程中遇到的斜坡边界下圆形孔扩张问题,提出了相应的计算方法。在考虑坡体自重应力的情况下,通过坐标变换将其转为水平边界半无限体中圆孔扩张,采用复变函数共形映射的方法得到应力解析。当圆形孔埋置较深时,将问题简化为无限体中圆孔的扩张,通过弹性力学的基本叠加得到最终应力解答。以一斜坡边界下圆形孔洞扩张为例,求解了圆孔周围径向正应力、环向正应力与切应力的分布。计算结果表明:斜坡倾角对坡体中应力分布影响显著,某点应力随距圆心距离的增大而减小,超过约4倍圆孔半径远处逐渐趋于稳定,其值接近于初始地应力场。当圆孔为深埋的情况时,与简化为无限平面的情况进行了对比,两种方法计算结果接近,距圆心2.5R远处岩体径向正应力和环向正应力均为负值,而切应力正负值间隔分布,各应力极值分布与斜坡倾向呈一定的相关性。

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