Geometrically necessary dislocations and strain-gradient plasticity: a few critical issues [PDF]
Abstract A few issues related to the modeling of size effects in terms of geometrically necessary dislocations (GNDs) are critically discussed, viz. strain hardening, length scale dependence, types of GND arrays. Consequences are drawn regarding the continuum modeling of size effects in plasticity.
Kubin, L. P., Mortensen, A.
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Microhardness model based on geometrically necessary dislocations for heterogeneous material
Lamellar cast irons are known as heterogeneous materials. Their overall hardness is determined by the microhardness of their microstructure contents. This study pertains to extend the indentation size effect (ISE) analyses to these heterogeneous materials.
Mohammed Mendas +3 more
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Line-tension model for plasticity as the Gamma-limit of a nonlinear dislocation energy [PDF]
In this paper we rigorously derive a line-tension model for plasticity as the Gamma-limit of a nonlinear mesoscopic dislocation energy, without resorting to the introduction of an ad hoc cut-off radius.
Scardia, L. +4 more
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The effect of length scale on the determination of geometrically necessary dislocations via EBSD continuum dislocation microscopy [PDF]
Electron backscatter diffraction (EBSD) dislocation microscopy is an important, emerging field in metals characterization. Currently, calculation of geometrically necessary dislocation (GND) density is problematic because it has been shown to depend on the step size of the EBSD scan used to investigate the sample.
T J, Ruggles +3 more
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Existence and stability of a screw dislocation under anti-plane deformation [PDF]
We formulate a variational model for a geometrically necessary screw dislocation in an anti-plane lattice model at zero temperature. Invariance of the energy functional under lattice symmetries renders the problem non-coercive.
Hudson, Thomas, Ortner, Christoph
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Multiscale Modeling of Microcrystalline Materials [PDF]
Materials with micrometer dimensions and their distinct mechanical properties have generated a great interest in the material science community over the last couple of decades. There is strong experimental evidence showing that microcrystalline materials
Hurtado Sepulveda , Daniel Esteban
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Geometrically necessary dislocation densities in olivine obtained using high-angular resolution electron backscatter diffraction. [PDF]
Dislocations in geological minerals are fundamental to the creep processes that control large-scale geodynamic phenomena. However, techniques to quantify their densities, distributions, and types over critical subgrain to polycrystal length scales are ...
Hansen, LN +3 more
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Gradient nano-grained (GNG) metals have shown high synergetic strength and good ductility due to their unique gradient microstructure. In this study, the mechanical behavior of gradient nano-grained metals was investigated by three-dimensional discrete ...
Songjiang Lu +4 more
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Evolution of geometrically necessary dislocation density from computational dislocation dynamics
This paper presents a method for calculating GND densities in dislocation dynamics simulations. Evolution of suitably defined averages of GND density as well as maps showing the spatial nonuniform distribution of GNDs are analyzed under uniaxial loading.
P J Guruprasad, A A Benzerga
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Mechanical testing of micropillars is a field that involves new physics, as the behaviour of materials is non-deterministic at this scale. To better understand their deformation mechanisms we applied 3-dimensional high angular resolution electron ...
Maeder, Xavier +6 more
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