Thermodynamic framework for coupling of non-local viscoplasticity and non-local anisotropic viscodamage for dynamic localization problems using gradient theory

By George Z. Voyiadjis, R. A. Abu Al-Rub, A. Palazotto. 2004

220 citations recorded by the source corpus.

Subfields: Materials Chemistry, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/fd80283df35104161ccb52f9ba21778f158740f4

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Materials Chemistry

In Mechanics of Materials

Citations in the corpus

Computational applications of a coupled plasticity-damage constitutive model for simulating plain concrete fracture (2010, methodology): “[78] in order to include non-local damage effects in order to eliminate the mesh-sensitivity problem due to damage localization, such that: rij 1⁄4 1 u _ rij with u _ 1⁄4 uþ ‘(2)r(2)u ð4Þ where u _ is the non-local damage density, ‘is a material length scale parameter, and r(2) is the Laplacian oper”
A plasticity and anisotropic damage model for plain concrete (2007, unknown): “The transformation from the effective (undamaged) configuration to the damaged one can be done by utilizing either the strain equivalence or strain energy equivalence hypotheses (see Voyiadjis and Kattan, 1999).”
Overview of constitutive laws, kinematics, homogenization and multiscale methods in crystal plasticity finite-element modeling: Theory, experiments, applications (2010, background): “Thus, multiscale modeling approaches that include atomistic scale computations are under development by a number of groups [322,347–350].”
Gradient plasticity theory with a variable length scale parameter (2005, methodology): “However, incorporation of rate-dependent viscous terms introduces an implicit length scale measure and limits localization in dynamic or quasi-static problems (e.g. Perzyna, 1963; Needleman, 1988; Wang et al., 1998; Voyiadjis et al., 2003, 2004).”
Micromorphic Approach for Gradient Elasticity, Viscoplasticity, and Damage (2009, background): “…hardening variables associated with the classical isotropic and kinematic hardening variables has been pursued in Dorgan and Voyiadjis 2003 , Voyiadjis et al. 2004 , Voyiadjis and Dorgan 2004 , and Voyiadjis and Abu Al-Rub 2005 , where the corresponding thermodynamical framework is settled.”
The Mori–Tanaka method for composite materials with nonlinear interface debonding (2005, background): “Keywords: Interfacial debonding; Nonlinear behavior; Size effects; Micromechanics; Particulate reinforced material”
Meso-scale computational modeling of the plastic-damage response of cementitious composites (2011, methodology): “[3,4,47,48], and the references quoted therein) is adopted in this study.”
A thermo-viscoelastic-viscoplastic-viscodamage constitutive model for asphaltic materials (2011, background): “Later, various types of creep-damage evolution laws in terms of stress, strain, and energy potentials have been proposed by other researchers (e.g. Belloni et al., 1979; Cozzarelli and Bernasconi, 1981; Lee et al., 1986; Zolochevsky and Voyiadjis, 2005; Voyiadjis et al., 2003, 2004; Sullivan, 2008).”
A gradient-enhanced damage model coupled to plasticity—multi-surface formulation and algorithmic concepts (2018, background): “…et al., 2003; Mühlhaus and Aifantis, 1991; Polizzotto, 2009; Reddy et al., 2008; Voyiadjis and Deliktas, 2009), and for gradient enhancement of models for the coupled response (Abu Al-Rub and Voyiadjis, 2006, 2009; Dorgan and Voyiadjis, 2006; Svedberg and Runesson, 2000; Voyiadjis et al., 2004).”