Modeling of elastoplastic damage behavior of a claystone

By A. Chiarelli, Jianfu Shao, N. Hoteit. 2003

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Nonlocal anisotropic damage model and related computational aspects for quasi-brittle materials (2007, unknown): “The simplest choice is to consider a linear function introducing two parameters only: the damage threshold κ0 = κ(0) and a damage parameter A as [35, 26, 44] κ(tr D) = 1 A tr D + κ0 (33) This leads to κ(ǫ̂) = A (ǫ̂− κ0) (34) and to the damage law (α = 2, nonlocal model): Ḋ = A 〈ǫ〉(2)+ ǫ̂2 ̇̂ ǫ (dama”
Three dimensional combined fracture-plastic material model for concrete (2008, background): “…Simo and Ju, 1987; Meschke et al., 1988; Bielger and Mehrabadi, 1995; Lee and Fenves, 1998; or more recent works by Grassl and Jirásek (2006), Mohamad-Hussein and Shao (2007), Contrafatto and Cuomo (2006), Jason et al. (2006), Cicekli et al. (2007) and Chiarelli et al. (2003) for rock material).”
A thermo-viscoelastic-viscoplastic-viscodamage constitutive model for asphaltic materials (2011, background): “Several studies have shown that the viscoplastic deformation of HMA, and geomaterials in general, is non-associated (e.g. Zeinkiewicz et al., 1975; Oda and Nakayama, 1989; Florea, 1994; Cristescu, 1994; Bousshine et al., 2001; Chiarelli et al., 2003), which requires assuming a plastic potential func”