“…• models relying on the Laplace-Carson transform and used for linear viscoelasticity [Hashin(1969), Christensen(1969), Laws and McLaughlin(1978), Suquet(1985), Rougier et al(1993), Rougier et al(1994), Barthélémy et al(2016)] • models adopting numerical Laplace-Carson transform technique in an incremental way in the context of non-linear viscosity [Rougier et al(1994), Masson and Zaoui(1999), Pierard and Doghri(2006), Pierard et al(2007), Ricaud and Masson(2009), Pichler et al(2012)] • variational approaches based on the papers of [Ponte Castañeda(1992)] or [Ponte Castañeda and Suquet(1997)]. Within the framework discussed in these two contributions, the use is made of the incremental variational principle with a condensed incremental potential which accounts both for conservative and dissipative effects.…”