Continuum dislocation dynamics: towards a physical theory of crystal plasticity

T Hochrainer, S Sandfeld, M Zaiser… - Journal of the Mechanics …, 2014 - Elsevier
The plastic deformation of metals is the result of the motion and interaction of dislocations,
line defects of the crystalline structure. Continuum models of plasticity, however, remain …

Dislocation density distribution around an indent in single-crystalline nickel: Comparing nonlocal crystal plasticity finite-element predictions with experiments

C Reuber, P Eisenlohr, F Roters, D Raabe - Acta Materialia, 2014 - Elsevier
We present a physics-based constitutive model of dislocation glide in metals that explicitly
accounts for the redistribution of dislocations due to their motion. The model parameterizes …

Gradient crystal plasticity including dislocation-based work-hardening and dislocation transport

S Wulfinghoff, T Böhlke - International Journal of Plasticity, 2015 - Elsevier
This work aims at the formulation of a gradient crystal plasticity model which incorporates
some of the latest developments in continuum dislocation theory and is, at the same time …

Continuum modeling of dislocation plasticity: Theory, numerical implementation, and validation by discrete dislocation simulations

S Sandfeld, T Hochrainer, M Zaiser… - Journal of Materials …, 2011 - cambridge.org
Miniaturization of components and devices calls for an increased effort on physically
motivated continuum theories, which can predict size-dependent plasticity by accounting for …

Multipole expansion of continuum dislocations dynamics in terms of alignment tensors

T Hochrainer - Philosophical Magazine, 2015 - Taylor & Francis
The development of a dislocation-based continuum theory of plasticity remains one of the
central challenges of applied physics and materials science. Develo** a continuum theory …

Equivalent plastic strain gradient enhancement of single crystal plasticity: theory and numerics

S Wulfinghoff, T Böhlke - Proceedings of the Royal …, 2012 - royalsocietypublishing.org
We propose a visco-plastic strain gradient plasticity theory for single crystals. The gradient
enhancement is based on an equivalent plastic strain measure. Two physically equivalent …

Numerical implementation of a 3D continuum theory of dislocation dynamics and application to micro-bending

S Sandfeld, T Hochrainer, P Gumbsch… - Philosophical …, 2010 - Taylor & Francis
Crystal plasticity is governed by the motion of lattice dislocations. Although continuum
theories of static dislocation assemblies date back to the 1950s, the line-like character of …

Density-based crystal plasticity: From the discrete to the continuum

PL Valdenaire, Y Le Bouar, B Appolaire, A Finel - Physical Review B, 2016 - APS
Because of the enormous range of time and space scales involved in dislocation dynamics,
plastic modeling at macroscale requires a continuous formulation. In this paper, we present …

Annihilation and sources in continuum dislocation dynamics

M Monavari, M Zaiser - Materials Theory, 2018 - Springer
Continuum dislocation dynamics (CDD) aims at representing the evolution of systems of
curved and connected dislocation lines in terms of density-like field variables. Here we …

Identification of dislocation reaction kinetics in complex dislocation networks for continuum modelling using data-driven methods

B Katzer, K Zoller, D Weygand, K Schulz - … of the Mechanics and Physics of …, 2022 - Elsevier
Plastic deformation of metals involves the complex evolution of dislocations forming strongly
connected dislocation networks. These dislocation networks are based on dislocation …