Abstract:The elastoplastic problem for circular pressured tunnel with lining is investigated. Firstly,an appropriate mechanical model considering the stress relief and the installation sequence of the lining is proposed to model the construction sequence of the tunnel structure. Next,by applying the series of expansion technologies in the complex theory established by Muskhelishvili,the complex stress functions are properly presented. Then,considering the continuity conditions for the stress and displacement along the boundary,in conjunction with the comparisons of the same power exponent on both sides of the equality,the presented problem is reduced to solve a set of linear algebraic equations. Sequentially,the complex potentials in the lining and the surrounding rock are explicitly derived respectively. Finally,based on the linear Mohr-Coulomb yield criterion,for two cases that the first principal stress is the radial stress or the tangential stress respectively,with consideration of boundary conditions along the internal and external boundaries of the lining and the interface between the elastic and plastic regions,the stress solutions for the total field are given when the interface between the elastic and plastic regions is in the lining. The presented solutions contain previously known results as the special cases,for example,classical Fenner¢s solution and Savin¢s solution.