“…Accordingly, effect of the ductile damage on elastic behavior described by effective variables of Eq. (1) is modified and decomposed into deviatoric and hydrostatic parts as following: (Marigo, 1985, Ortiz, 1985, Simo and Ju, 1987, Lemaitre, 1992, Daudeville and Ladevèze, 1993, Lemaitre and Desmorat, 2005, Saanouni, 2012.…”