Abstract: The analytical solutions about radial normal stress, circumferential normal stress and axial normal stress for two linings are derived when the highway pressure tunnel with single centre circle is studied by considering single valued condition for displacement in a multiply connected body and the continuity of radial normal stress and radial displacement on contact surface. Theoretical analysis shows that: (1) in the case of constant body forces and both for the case of plane stress and plane strain, the stress distribution is hence the same in this plane and does not contain the elastic constants (i.e. elastic modulus and Poisson ratio) of the isotropic material, provided the shape of the boundary and the external forces are the same; (2) the circumferential normal stress and axial normal stress have sudden stress anomaly on the circumference with the secondary lining’s external radius, which results in the jump discontinuous point belonging to the first kind of discontinuous point; (3) there is not the jump phenomenon when the primary support lining and secondary lining have the same elastic constants of the material; and (4) the onset of plastic yield first occurs in the internal side of secondary lining, and will be restricted by the surrounding elastic region. These general stress formulas can be applied to the analysis of the contact characteristics of highway pressure tunnel with single centre circle.

Key words: highway, pressure tunnel lining, non full contact, primary support lining, secondary lining, multiply connected body, single valued condition for displacement