On the evolution of crystallographic dislocation density in non-homogeneously deforming crystals

By Athanasios Arsenlis, D. Parks, R. Becker, Vasily V. Bulatov. 2004

278 citations recorded by the source corpus.

Subfields: Materials Chemistry, Mechanical Engineering

View Paper: https://www.semanticscholar.org/paper/a1e3dfb86b1cf9ed71b3c4650e132c119b7736df

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In Materials Chemistry

In Mechanical Engineering

Citations in the corpus

Crystal Plasticity Finite Element Methods: in Materials Science and Engineering (2010, methodology): “The basics and further developments along these lines were published in a sequence of works where the recent emphasis is placed on extracting constitutive information, for instance, on strain hardening, from discrete dislocation modeling (Arsenlis and Parks, 1999, 2002; Arsenlis et al., 2004; Arsenl”
The role of heterogeneous deformation on damage nucleation at grain boundaries in single phase metals (2009, methodology): “…methods based upon Taylor theory, and finite element polycrystal plasticity approaches (atomistic or discrete dislocation density models can typically model volumes much smaller than a cubic micron (e.g. Farkas, 2005; Arsenlis et al., 2004), making them most useful for modeling nanocrystals).”
Size effects and idealized dislocation microstructure at small scales: Predictions of a Phenomenological model of Mesoscopic Field Dislocation Mechanics: Part I (2005, background): “, 2004), or to additional configurational stresses arising from postulated dependencies of the free-energy on the Nye tensor (Menzel and Steinmann, 2000; Gurtin, 2002; Arsenlis et al., 2004).”
Modeling Dislocations and Disclinations With Finite Micropolar Elastoplasticity (2006, background): “…the slip rates are embodied by the functions #i (cf. Pe cherski, 1983), which may additionally be extended to incorporate dislocation flux through boundaries of finite volumes (including effects of time rates of geometrically necessary dislocation densities), as suggested by Arsenlis et al. (2004).”
A dislocation density based constitutive model for crystal plasticity FEM including geometrically necessary dislocations (2006, methodology): “In order to meet these requirements some authors [12,13] used the divergence theorem for the transformation of the shear rates and the plastic deformation gradient into dislocation densities.”
Simulation of polycrystal deformation with grain and grain boundary effects (2011, background): “…but introduce an arbitrary length scale representing the width of the grain boundary (Evers et al., 2002) or avoid the arbitrary length scale by invoking a procedure so computationally intensive that only an idealized single crystal with single slip can be simulated (Arsenlis et al., 2004).”
Overview of constitutive laws, kinematics, homogenization and multiscale methods in crystal plasticity finite-element modeling: Theory, experiments, applications (2010, methodology): “The basics and further developments along these lines were published in a sequence of works where the recent emphasis is placed on extracting constitutive information, for instance, on strain hardening form discrete dislocation modeling [9,18,19,65].”
Continuum dislocation dynamics: Towards a physical theory of crystal plasticity (2014, background): “Fleck et al. (1994), Arzt (1998), Volkert and Kraft (2001).”
A physically based gradient plasticity theory (2006, background): “The recovery term becomes proportionally larger as the dislocation density statistically accumulates, and it controls the saturation level of the dislocation density (Arsenlis et al., 2004).”