CAJ | 학술논문

基于平面弹性复变函数中的保角变换方法，推导出带有衬砌的非圆形隧洞在原始地应力作用下的应力解析解。根据衬砌内边界的应力边界条件及围岩衬砌接触面上的应力和位移连续条件，获得求解围岩和衬砌解析函数的基本方程，计算了围岩和衬砌中的应力和位移。在求解过程中，考虑了支护滞后于开挖的力学过程，并认为围岩和衬砌之间紧密接触，不会相互分开和相对滑动。以马蹄形隧洞为例，获得了围岩开挖边界和衬砌内外边界的切向应力及围岩与衬砌接触面上的接触应力分布规律，并与 ANSYS 数值方法结果对比，算例表明两种方法的计算结果吻合很好。
기우평면탄성복변함수중적보각변환방법，추도출대유츤체적비원형수동재원시지응력작용하적응력해석해。근거츤체내변계적응력변계조건급위암츤체접촉면상적응력화위이련속조건，획득구해위암화츤체해석함수적기본방정，계산료위암화츤체중적응력화위이。재구해과정중，고필료지호체후우개알적역학과정，병인위위암화츤체지간긴밀접촉，불회상호분개화상대활동。이마제형수동위례，획득료위암개알변계화츤체내외변계적절향응력급위암여츤체접촉면상적접촉응력분포규률，병여 ANSYS 수치방법결과대비，산례표명량충방법적계산결과문합흔호。
Based on conformal mapping method of plane elasticity complex function, the analytical solution for non-circular supported tunnel subjected to in-situ stress can be obtained. According to the boundary conditions along the inner boundary of liner and the stress and displacement continuity conditions along the liner-surrounding rock mass interface, the basic equations for solving the analytic functions of the surrounding rock and liner are given. And the stresses and displacements are calculated. In the solving process, support delay and pure bond are taken into consideration. Taking the horseshoe tunnel for example, the tangential stresses of the rock excavation boundary and the contact stresses on the liner-surrounding rock mass interfaces are obtained. The results are compared with that by the ANSYS software. The numerical example shows that the results of two methods are in good agreement.