A Coupled Damage and Plasticity Drucker-Prager Model Based on Thermodynamics of Internal Variables

A thermodynamically consistent plastic-damage framework for localized failure in quasi-brittle solids: Material model and strain localization analysis

“…Coupled plastic-damage models have been widely adopted to describe stiffness degradation and plastic strains of materials; see Armero and Oller (2000); Ibrahimbegovic et al (2008);Ju (1989);Ortiz (1985); Voyiadjis and Kattan (1992); Zhu et al (2010) among many others and the large volume of references in the texts (Ibrahimbegovic, 2009;Krajcinovic, 2003). In this section a unified elastoplastic damage framework (Meschke et al, 1998;Wu and Xu, 2011) is presented based on the irreversible thermodynamics with internal variables (Horstemeyer and Bammann, 2010).…”

“…Accordingly, the overall nonlinear behavior of the weakened solid can be described by tensorial constitutive relations in terms of stress versus strain equipped with internal variables. Plasticity (Chaboche, 2008;Chen, 1994) and damage mechanics (Krajcinovic, 2003;Lemaitre, 1996) or their combination (Armero and Oller, 2000;Ibrahimbegovic, 2009;Ju, 1989;Ortiz, 1985;Voyiadjis and Dorgan, 2007;Voyiadjis and Kattan, 1992;Wu et al, 2006;Zhu et al, 2010) are frequently employed to develop appropriate inelastic constitutive laws; see Abu Al-Rub and Darabi (2012); Ibrahimbegovic et al (2008) and the references therein. To guarantee objectivity of the energy dissipation during the failure process, the softening regime is in general regularized by introducing the fracture energy and an appropriately identified length scale (Bažant and Oh, 1983).…”