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On the characterization of geometrically necessary dislocations in finite plasticity
Journal of the Mechanics and Physics of Solids, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
CERMELLI, Paolo, GURTIN M. E.
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Zeitschrift für angewandte Mathematik und Physik, 2020
The paper studies the geometric dislocation density tensor and Burgers vector using an elastic-plastic decomposition of Laplace stretch which arises from a QR decomposition of the deformation gradient and allows for direct experimental measurement. The geometric dislocation density tensor is obtained using the classical argument of failure of a Burgers
Sandipan Paul, Alan D. Freed
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The paper studies the geometric dislocation density tensor and Burgers vector using an elastic-plastic decomposition of Laplace stretch which arises from a QR decomposition of the deformation gradient and allows for direct experimental measurement. The geometric dislocation density tensor is obtained using the classical argument of failure of a Burgers
Sandipan Paul, Alan D. Freed
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Finite element analysis of geometrically necessary dislocations in crystal plasticity
International Journal for Numerical Methods in Engineering, 2012SUMMARYWe present a finite element method for the analysis of ductile crystals whose energy depends on the density of geometrically necessary dislocations (GNDs). We specifically focus on models in which the energy of the GNDs is assumed to be proportional to the total variation of the slip strains.
Hurtado, Daniel E., Ortiz, Michael
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Assessment of geometrically necessary dislocation levels derived by 3D EBSD
Acta Materialia, 2015Abstract Existing alternatives for the calculation of geometrically necessary dislocation (GND) densities from orientation fields are discussed. Importantly, we highlight the role of reference frames and consider different sources of error. A well-controlled micro cantilever bending experiment on a copper bicrystal has been analyzed by 3-dimensional ...
P.J. Konijnenberg +2 more
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Acta Materialia, 2006
A dislocation density based constitutive model for face-centred cubic crystals is introduced and implemented into a crystal plasticity finite element framework. The approach assumes a homogeneous dislocation structure and tracks the dislocation evolution on each slip system.
Ma, A., Roters, F., Raabe, D.
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A dislocation density based constitutive model for face-centred cubic crystals is introduced and implemented into a crystal plasticity finite element framework. The approach assumes a homogeneous dislocation structure and tracks the dislocation evolution on each slip system.
Ma, A., Roters, F., Raabe, D.
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Key Engineering Materials, 2016
As components with proportional feature and tooling sizes are miniaturized, strain gradients through the cross-section increase. This causes strain gradient hardening as the density of geometrically necessary dislocations increases. This will lead to higher required forces in the process than expected.
Li Jie Wang +2 more
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As components with proportional feature and tooling sizes are miniaturized, strain gradients through the cross-section increase. This causes strain gradient hardening as the density of geometrically necessary dislocations increases. This will lead to higher required forces in the process than expected.
Li Jie Wang +2 more
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Higher-Order Stress due to Self Energy of Geometrically Necessary Dislocations
Key Engineering Materials, 2007The self energy of geometrically necessary dislocations (GNDs) in single crystals is considered to inevitably introduce a higher-order stress as the work conjugate to slip gradient. It is pointed out that this higher-order stress changes stepwise in response to in-plane slip gradient and thus explicitly influences the initial yielding of polycrystals ...
Nobutada Ohno, Dai Okumura
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Geometrically necessary dislocation fingerprints of dislocation loop absorption at grain boundaries
Physical Review Materials, 2022Larissa M. Woryk +7 more
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Determining Burgers vectors and geometrically necessary dislocation densities from atomistic data
Modelling and Simulation in Materials Science and Engineering, 2010We describe a novel analysis method to quantify the Burgers vectors of dislocations in atomistic ensembles and to calculate densities of geometrically necessary and statistically stored dislocations. This is accomplished by combining geometrical methods to determine dislocation cores and the slip vector analysis, which yields the relative slip of the ...
Jun Hua, Alexander Hartmaier
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Experimentally determined content of a geometrically necessary dislocation boundary in copper
Acta Materialia, 2004Abstract Weak beam and stereo transmission electron microscopy (TEM) were used to analyze the dislocation content of a crystallographic geometrically necessary dislocation boundary (GNB) in rolled copper. The GNB is oriented close to the ( 1 1 1) slip plane and is composed primarily of dislocations from the three highest stressed slip ...
Rodney J McCabe +2 more
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