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Continuum dislocation dynamics: towards a physical theory of crystal plasticity
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 …
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
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 …
accounts for the redistribution of dislocations due to their motion. The model parameterizes …
Gradient crystal plasticity including dislocation-based work-hardening and dislocation transport
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 …
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
Miniaturization of components and devices calls for an increased effort on physically
motivated continuum theories, which can predict size-dependent plasticity by accounting for …
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 …
central challenges of applied physics and materials science. Develo** a continuum theory …
Equivalent plastic strain gradient enhancement of single crystal plasticity: theory and numerics
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 …
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
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 …
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
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 …
plastic modeling at macroscale requires a continuous formulation. In this paper, we present …
Annihilation and sources in continuum dislocation dynamics
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 …
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 …
connected dislocation networks. These dislocation networks are based on dislocation …