Spatial Correlations and Higher-Order Gradient Terms in a Continuum Description of Dislocation Dynamics

By I. Groma, F. Csikor, Michael Zaiser. 2003

399 citations recorded by the source corpus.

Subfields: Atomic and Molecular Physics, and Optics, Materials Chemistry

View Paper: https://www.semanticscholar.org/paper/71e24f57e33d6515e1d6f9e5878f50204782fecf

How researchers see this paper

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

In Atomic and Molecular Physics, and Optics

1. David L. McDowell
2. Athanasios Arsenlis
3. John D. Clayton
4. Xiaolei Wu
5. D. Bammann

In Materials Chemistry

1. David L. McDowell
2. John D. Clayton
3. Jianjun Li
4. Athanasios Arsenlis
5. D. Bammann
6. Shaohua Chen
7. Vasily V. Bulatov
8. G. Weng

Citations in the corpus

• On Strain Hardening Mechanism in Gradient Nanostructures (2021, background): “Since it is the spatial variation of GNDs density that contributes to the long-range internal stress (Bayleyet al., 2006; Evers et al., 2004; Groma et al., 2003; Ye fi mov et al., 2004), the internal stress resulted from single edge GND can be given as (Bayley et al., 2006) where R is the integral…”
• On the evolution of crystallographic dislocation density in non-homogeneously deforming crystals (2004, background): “The constitutive form is taken from the work Groma et al. (2003) in which a gradient dependent stress contribution is derived from analysis of dislocation pair correlations in simple two-dimensional discrete dislocation dynamics simulations.”
• Modeling Dislocations and Disclinations With Finite Micropolar Elastoplasticity (2006, background): “By statistical averaging of elastic stress fields imparted by distributions of discrete dislocation dipoles, Groma et al. (2003) derived continuum expressions for resistance to plastic deformation, with flow stresses (due to shorterrange dislocation force interactions) depending upon the average…”