Cell structures in copper single crystals deformed in the [001] and [111] axes

Kawasaki, Yozo; Takeuchi, Tomoyuki

doi:10.1016/0036-9748(80)90091-5

Cited by 113 publications

(35 citation statements)

References 12 publications

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“…In tension, type 3 structures are found in both single crystals [43] and grains [28] of near 111 h i orientation. The orientation range with type 3 structures in polycrystals includes all orientations within 15 to 20 deg of 111 h i: Type 3 structures in single crystals have also been reported for crystals lying on the symmetry lines bounding the stereographic triangle within 15 to 20 deg of 111 h i: [37] To the authors' knowledge, no data are available on the structure type for crystals lying close to 111 h i but inside the triangle.…”

Section: Typementioning

confidence: 99%

Effect of Grain Boundaries and Grain Orientation on Structure and Properties

Hansen

Huang

Winther

2010

Metall Mater Trans A

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The evolution of deformation microstructures in metals follows a universal pattern of grain subdivision. However, the structure in the grain boundary region may be different from that in the grain interior, although a characteristic region cannot be identified for polycrystals with medium to high stacking fault energy. In the grain interior, the dislocation structure is predominantly composed of almost planar boundaries (geometrically necessary boundaries) and cell boundaries (incidental dislocation boundaries) forming a cell block structure. For grains with grain sizes reaching down to about 4 lm deformed in tension and by rolling, a clear correlation has been established between the characteristics of the deformation structure and the orientation of the grain in which it evolves. A similar correlation is observed for single crystals of different orientations. Such correlations form the basis for a general analysis of active slip systems and for modeling of the flow stress and flow stress anisotropy of polycrystalline samples.

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Section: Typementioning

confidence: 99%

Effect of Grain Boundaries and Grain Orientation on Structure and Properties

Hansen

Huang

Winther

2010

Metall Mater Trans A

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“…Depending on the slip geometry, the mode of loading and the temperature, rather different pattern morphologies (e.g., cell [1], labyrinth [2], vein [3], or wall [4] structures) emerge. There are, however, two important feature common to all these patterns: It is almost always observed that the characteristic wavelength of the patterns is proportional to the dislocation spacing ∝ 1/ √ ρ, where ρ is the total dislocation density, and inversely proportional to the stress at which the patterns have formed.…”

Section: Introductionmentioning

confidence: 99%

Dislocation patterning in a two-dimensional continuum theory of dislocations

2016

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Understanding the spontaneous emergence of dislocation patterns during plastic deformation is a long standing challenge in dislocation theory. During the past decades several phenomenological continuum models of dislocation patterning were proposed, but few of them (if any) are derived from microscopic considerations through systematic and controlled averaging procedures. In this paper we present a two-dimensional continuum theory that is obtained by systematic averaging of the equations of motion of discrete dislocations. It is shown that in the evolution equations of the dislocation densities diffusionlike terms neglected in earlier considerations play a crucial role in the length scale selection of the dislocation density fluctuations. It is also shown that the formulated continuum theory can be derived from an averaged energy functional using the framework of phase field theories. However, in order to account for the flow stress one has in that case to introduce a nontrivial dislocation mobility function, which proves to be crucial for the instability leading to patterning.

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“…Slip systems s ∈ S are not in accord with this mechanism and are therefore excluded from the computation ofΓ p . To validate the above phenomenological assumption, Table 1 lists the computedΓ p * /Γ p * * under uniaxial tension in eight copper single crystals studied experimentally by Kawasaki and co-workers [48,49,50] assuming…”

Section: Condition For Dislocation Wall Formationmentioning

confidence: 99%

Deformation banding and shear banding in single crystals

Mahesh

2006

Acta Materialia

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A theory of rigid-plastic single crystal deformation based on the hypothesis that the crystal follows a mode of deformation that minimizes the plastic power is developed. In addition to the usual homogeneous slip modes, plastic power minimization in the present theory also extends over inhomogeneous deformation modes in the form of deformation bands or shear bands. Bands are assumed to originate from unstable perturbations of the lattice orientation. The evolution of the banded substructure with continued deformation depends on the mobility of the inter-band dislocation boundaries. The theory predicts the evolution of substructural morphology and lattice orientation with deformation. These predictions agree quantitatively with experimental observations in initially (112)

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Cell structures in copper single crystals deformed in the [001] and [111] axes

Cited by 113 publications

References 12 publications

Effect of Grain Boundaries and Grain Orientation on Structure and Properties

Effect of Grain Boundaries and Grain Orientation on Structure and Properties

Dislocation patterning in a two-dimensional continuum theory of dislocations

Deformation banding and shear banding in single crystals

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