【摘要】 水下隧道属于浅埋隧道,故其围岩的应力位移分析从力学角度可简化为含圆孔半平面弹性体在水平边界上受任意分布荷载的问题。与深埋隧道不同,浅埋隧道围岩分析在数学处理上历来存在较大的困难。借助Verruijt提供的共形映射函数,把含圆孔半无限平面映射为圆环域,然后将像平面上的解析函数展成Laurent级数,利用Muskhelishvili的复变函数解法,求得问题的应力场和位移场,最后用Fortran语言编写了计算程序。利用该程序给出一个水下隧道算例的围岩应力、位移结果,并分析了其受力变形特点。更多还原

【Abstract】 The underwater tunnels can be regarded as shallow tunnels.So the classical problem of an elastic half plane with a circular cavity,loaded arbitrarily on the horizontal boundary can be used to analyse the stress and displacement fields of the surrounding rock for underwater tunnels.As is known to all,it is much more difficult to deal with shallow tunnels than deep tunnels via the analytical way.Using Verruijt’s conformal mapping function,the region of exclusion of a hole in a half plane is tansfered into a cirque.Then the analytic functions can be expanded as Laurent series in this region.The stress and displacement can be solved by the function of complex varibles method founded by Muskhelishvili.The corresponding calculation program is coded by Fortran.As an example,a specific underwater tunnel is analysed by the Fortran calculation program eventually.更多还原