Abstract: In this paper the hardening and softening characters of a medium has been considering, the elastoplastic analysis for a circular tunnel in the case of axisymmetrical deforment marion is carried out by use of the condition of displacement coordinate detween the lining and the tunnel. By introducing somecoucepts such as shear strougth on appointed sections, amplifying exponential of sheaer strongth etc. and adopting dimensionless measure, obtained results are simplified arid have clear physical meaning. Then accoding above results table is made for applications in engineering.