“…Localization of deformation and damage is a general phenomenon in concrete (Jin et al, 2018;Li and Wu, 2018;Markeset and Hillerborg, 1995) and geological materials (Baud et al, 2004;Dewers et al, 2017;Harnett et al, 2018;Xu et al, 2004) and serves as an effective precursor of catastrophic rupture (Hao et al, 2007(Hao et al, , 2010Li et al, 2000). After localization, the strain field of a specimen bifurcates into a two-part continuum consisting of a less-deformation zone and a localized band where the deformation and damage are concentrated (Bai et al, 2001;Colpo et al, 2017;Hao et al, 2007Hao et al, , 2010Hill and Hutchinson, 1975;Lockner et al, 1991;Rudnicki and Rice, 1975;Toussaint and Pride, 2002).…”