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The relation between polycrystal deformation and single-crystal deformation

U.F. Kocks
- 01 May 1970 - 
- Vol. 1, Iss: 5, pp 1121-1143
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TLDR
In this paper, a phenomenological description of crystallographic slip and pencil glide in single crystals is outlined, with emphasis on the behavior under prescribed strains Theoretical relations are established between these single-crystal properties and the behavior of quasi-homogeneous, quasi-isotropic polycrystals deforming uniformly on a macroscopic scale, at subdiffusive temperatures.
Abstract
A phenomenological description of crystallographic slip and pencil glide in single crystals is outlined, with emphasis on the behavior under prescribed strains Theoretical relations are established between these single-crystal properties and the behavior of quasi-homogeneous, quasi-isotropic polycrystals deforming uniformly on a macroscopic scale, at subdiffusive temperatures Experimental comparisons between single crystals and polycrystals are reviewed, considering flow stress, work hardening, temperature and strain rate effects, and various effects of grain size

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Citations
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Overview no. 42 Texture development and strain hardening in rate dependent polycrystals

TL;DR: In this article, a rate dependent constitutive model is developed for polycrystals subjected to arbitrarily large strains, and the model is used to predict deformation textures and large-strain strain hardening behavior following various stressstrain histories for single phase f.c. aggregates that deform by crystallographic slip.
Journal ArticleDOI

Material rate dependence and localized deformation in crystalline solids

TL;DR: In this paper, a planar double slip model was proposed to analyze the effect of material rate sensitivity on the formation of conjugate slip bands in planar planar crystal geometries.
Journal ArticleDOI

An analysis of nonuniform and localized deformation in ductile single crystals

TL;DR: In this paper, the lattice misorientation across the shear band, which is such to cause geometrical softening of the bands, is not sensitive to the imperfection form for high strength, low hardening crystals a comparison with existing experimental data shows remarkably good qualitative and quantitative agreement between the calculations and observations.
Journal ArticleDOI

The search for novel, superhard materials

TL;DR: The recent development in the field of superhard materials with Vickers hardness of ⩾40 GPa is reviewed in this article, where two basic approaches are outlined including the intrinsic superhard material, such as diamond, cubic boron nitride, C3N4, carbonitrides, etc. and extrinsic, nanostructured materials for which superhardness is achieved by an appropriate design of their microstructure.
References
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Journal ArticleDOI

The Determination of the Elastic Field of an Ellipsoidal Inclusion, and Related Problems

TL;DR: In this paper, it is shown that to answer several questions of physical or engineering interest, it is necessary to know only the relatively simple elastic field inside the ellipsoid.
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Berechnung der elastischen Konstanten des Vielkristalls aus den Konstanten des Einkristalls

TL;DR: In this article, anwendungsmoglichkeiten der Methode werden besprochen, in which experimentelle Vergleichswerte weichen von den berechneten etwas ab, was beweist, das die Experimente nicht den von der Theorie geforderten idealen Bedingungen genugt haben.
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Continuum micro-mechanics of elastoplastic polycrystals

TL;DR: In this article, the internal inhomogeneities of stress and strain in an arbitrarily deformed aggregate of elasto-plastic crystals are evaluated theoretically using a tensor constitutive law of a general kind.