Modeling the evolution of crystallographic dislocation density in crystal plasticity

By Athanasios Arsenlis, D. Parks. 2002

339 citations recorded by the source corpus.

Subfields: Materials Chemistry, Mechanical Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/457d06a48e6ec26d0f7de42d705f330cd221fec5

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In Materials Chemistry

In Mechanical Engineering

In Mechanics of Materials

Citations in the corpus

A dislocation density-based single crystal constitutive equation (2010, methodology): “However, there is evidence that single-crystal plasticity models fitted in this way do not always represent single-crystal behavior properly (Becker and Panchanadeeswaran, 1995; Kumar and Yang, 1999; Arsenlis and Parks, 2002).”
Discrete dislocation density modelling of single phase FCC polycrystal aggregates (2004, background): “Further discretisation into pure edge and screw types enables their individual roles to be more clearly distinguished [12].”
Unraveling the temperature dependence of the yield strength in single-crystal tungsten using atomistically-informed crystal plasticity calculations (2015, background): “There are numerous density evolution models proposed in the literature, each with a specific domain of applicability (Mecking and Kocks, 1981; Estrin, 1996; Arsenlis and Parks, 2002; Stainier et al., 2002; Barton et al., 2011).”
Overview of constitutive laws, kinematics, homogenization and multiscale methods in crystal plasticity finite-element modeling: Theory, experiments, applications (2010, methodology): “However, as strain gradients can be associated with GNDs, new internal-variable constitutive formulations were developed that incorporate dislocation densities as physically based state variables [9,18,19,24, 25,232] instead of strain measures, which were often used in phenomenological formulations ”
Crystal Plasticity Finite Element Methods: in Materials Science and Engineering (2010, background): “They suggested a constitutive formulation where dislocation density variables gradually evolve from initial conditions according to a set of structure evolution laws considering basic dislocation mechanics such as the continuity of dislocation lines and Burgers vector conservation in a set of generi”
A dislocation density based constitutive model for crystal plasticity FEM including geometrically necessary dislocations (2006, neutral): “[24]”
A study of microstructural length scale effects on the behaviour of FCC polycrystals using strain gradient concepts (2004, background): “, 2000; Bassani, 2001; Arsenlis and Parks , 2001; Acharya and Beaudoin, 2000; Huang et al., 2004). Here, strain gradient effects are introduced directly into the evolutionary laws of the internal slip system state variables. This type of strain gradient theory has been shown to be capable of providi”
A comparison of dislocation induced back stress formulations in strain gradient crystal plasticity (2006, background): “The six interaction coefficients corresponding to self hardening, coplanar, Hirth lock, glissile junction, Lomer Cottrell lock, and cross slip are further defined in Arsenlis and Parks (2002).”
On the consideration of interactions between dislocations and grain boundaries in crystal plasticity finite element modeling – Theory, experiments, and simulations (2006, background): “This means that dislocation mechanics can, beyond the microplastic regime, be homogenized in the form of statistical dislocation populations which in turn can be embedded as constitutive rate equations in a crystal plasticity theory [1,6,7].”