The softening behaviour of rocks is introduced into the visco-elastoplastic solutions for the circular tunnel considering the stress release. During the softening process and residential strength stage
the plastic voluminal expansion is taken into account. When the softening coefficient k = 0 and swelling coefficient h = s
the solutions could be transformed into viscoealsto-brittle plastic solutions. Otherwise
k = 0 and h = s
the solutions could be transformed into viscoealsto-perfectly plastic solutions; furthermore
when h = s = 1
the solutions would be the viscoelasto-perfectly plastic solution without considering the plastic swelling. By the case study
the effects of distance x between the face and the setting section
softening coefficient k
plastic swelling coefficient h and s
supporting system on the radii of the plastic zone and broken zone
and displacements of surrounding rock have been analyzed in detail. When x is smaller than 4D
where D is the diameter of tunnel
with time increase
the plastic zone and broken zone enlarge rapidly. When x >4D
the increments of plastic zone and broken zone will diminish. The support system has no effects on the ratio between radii of plastic zone and broken zone; but it could limit the development of the plastic and broken zones. The calculating results of the paper are larger than the results without considering the softening behaviour and swelling behaviour of the rock mass. With softening coefficient k increases
displacements
plastic zone and broken zone will enlarge; but the ratio between the radii of plastic and broken zones will diminish. The results could be taken as reference and guide for the tunnel design and construction.