“…In contrast, continuum phenomenological description, as a homogenization of the underlying microscopic aspects, provides a numerically efficient alternative to project the most relevant microstructure morphological features onto the macroscopic field (Krajcinovic, 1996;Lemaitre, 1992; Lemaitre and Chaboche, 1985). Mechanical degradation interpreted as the damage density was measured based on the reduction of elastic modulus (Bonora et al, 2005;Brunig, 2003;Horstemeyer and Bammann, 2010;Sciarra, 2012;Voyiadjis and Kattan, 2009;Voyiadjis et al, 2004), where the postcritical behavior of the materials was characterized by the evolution of internal variables that denote the accumulation of inherent imperfections such as mechanically induced cracks and internal pores (Doquet et al, 2013;Karamanov et al, 2010). Further observations and analyses suggest that the multiple physical kinetics involved in the degradation process seldom coincide (Hammi and Horstemeyer, 2007;Lecarme et al, 2011).…”