“…The theoretical framework is adopted from previous works (Wong et al 2008a, b;Dufour et al 2009Dufour et al , 2012 and completed to account for an irreversible viscoplastic behaviour, which has been experimentally shown (Boidy et al 2002;Gatelier et al 2002;Chiarelli et al 2003;Gasc-Barbier et al 2004;Zhou et al 2011) to be more representative of in situ behaviour. In the literature, other attempts to account for creep with the use of viscoplasticity theory can be found (Pouya 1991;Giraud & Rousset 1996;Cosenza & Ghoreychi 1999;Kazmierczak et al 2007;Carranza-Torres & Zhao 2009), but, most often, they require numerical tools and analytical approaches are more rare. Pouya (1991) provided an approximate analytical solution for the case of an unlined tunnel, accounting for a monophasic rock mass obeying Norton-Hoff's creep law and that was elastically incompressible (Poisson's ratio v ¼ 0.5).…”