Before revision:  We will observe that by including the two-sided energetic inequality in our solution method, we describe, for some of the benchmark problems, an equilibrium path when  damage starts to manifest, which is different from the one obtained by solving simply the stationariety conditions of the underlying functional.
After revision:  We will observe that by including the two-sided energetic inequality in our solution method, we describe, for some of the benchmark problems, an equilibrium path when damage starts to manifest, which is different from the one obtained by solving simply the stationarity conditions of the underlying functional.