Development of texture and elastic anisotropy during deformation of hcp metals

Wenk, Hans‐Rudolf; Takeshita, Toru; Jeanloz, Raymond; Johnson, George C.

doi:10.1029/gl015i001p00076

Cited by 59 publications

(32 citation statements)

References 17 publications

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“…Without further modification the Van Houtte's scheme has been applied to calculate texture development in hexagonal materials with deformation modes typical of titanium alloys [14,15] and also in materials of geological interest like calcite, which deforms predominantly by twinning [4]. We will review Van Houtte's scheme in this Section and improve upon it in the following.…”

Section: Twinning Modelsmentioning

confidence: 99%

A model for texture development dominated by deformation twinning: Application to zirconium alloys

Tomé¹,

Lebensohn²,

Kocks³

1991

Acta Metallurgica et Materialia

571

200

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AIwlraet--In many polycrystals of less than cubic crystal symmetry, plastic deformation is dominated by twinning. In particular, we will treat the case of Zr and Zr alloys in detail. We propose a new method for modelling grain reorientation due to twinning, which is based on a Volume Fraction Transfer (VFT) scheme; the scheme is also applied to the slip modes. We find that this method predicts textures that are, when twinning is the dominant mode, considerably different from, and in better agreement with experiment than the conventional schemes which reorient an entire grain when some criterion has been met. Various combinations of slip and twinning modes and of the associated critical stresses are systematically investigated for the case of rolling, tension and compression of Zr alloys. A comparison of various predicted and experimental textures leads to the conclusion that twinning must, indeed, be controlling texture development.R/~t---Dans de nombreux polycristaux ayant une sym6trie inf6rieure a la sym6trie cubique, la dfformation plastique est domin6e par le maclage. En particulier, nous traitons en d6tail le cas du zirconium et des alliages de zirconium. Nous proposons une nouvelle m6thode pour mod61iser la r6orientation des grains due au maclage, m6thode qui est bas6e sur le concept de transfert de la fraction volumique (TFV); la m~thode est aussi appliqu6e aux modes de glissement. Nous trouvons que la m6thode pr6voit des textures qui, lorsque le maclage pr6domine, sont consid6rablement diff6rentes et en meiUeur accord avec rexp6rience que les sch6mas traditionnels qui r6orientent un grain entier lorsque qu'un certain crit~re est satisfait. On 6tudie syst6matiguement les diverses combinaisons de glissement et de maclage ainsi que les diverses combinaisons des contraintes critiques associ6es dans le cas du laminage, de la traction et de la compression des alliages de Zr. Une comparaison des diverses textures pr6vues et exp~rimentales conduit ~ la conclusion que la maclage dolt, en v6rit6, contrgler le d6veloppement de la texture.Zmmnmeafasaang--ln vielen Polykristallen von Materialien mit weniger als kubischer Symmetrie ist die plastische Verformung gepr~gt yon ZwiUingsbildung. Insbesondere behandeln wir hier den Fall des Zirkons und seiner Legierungen ausffihrlich. Wit schlagen eine neue Methode zur modeUhaften Beschreibung der Kornumorientierung durch Zwillingsbildung vor; die Methode beruht auf dem Verfahren der 'Obertragung des Volumanteils', mit dem auch die Gleitmoden beschrieben werden k6nnen. Diese Methode sagt Texturen voraus, die fiir den Fall, dal3 Zwillingsbildung vorherrscht, besser mit dem Experiment fibereinstimmen und die sich betr~chtlich yon denen unterscheiden, die mit herkgmmlichen Veffahren ermittelt werden, also bei denen ein ganzes Korn umorientiert wird, wenn ein bestimmtes Kriterium erf'ullt ist. Ffir die Fille des Walzens, der Zug-und der Druckverformung yon Zirkonlegierungen werden verschiedene Kombinationen von Gleit-und Zwillingsmoden und die zugeh6rigen kritischen Spannungen s...

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Section: Twinning Modelsmentioning

confidence: 99%

A model for texture development dominated by deformation twinning: Application to zirconium alloys

Tomé¹,

Lebensohn²,

Kocks³

1991

Acta Metallurgica et Materialia

571

200

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“…25 During the initial stages of the phase transformation ( Previous rDAC measurements on hcp Fe reported that after the phase transformation, hcp Fe developed a maximum at 11-20. This was interpreted as a transformation texture that was inherited from the parent bcc phase 25 based on Burgers' orientation relationship 30 (110) bcc // (0001) hcp and [-11-1] bcc // [11][12][13][14][15][16][17][18][19][20] hcp (Figure 4 inset). An alternate and nearly equivalent description is the martensitic mechanism where {1-100}〈11-20〉 hcp becomes {1-12}〈-111〉 bcc .…”

Section: Iii-ii Room Temperature Texturementioning

confidence: 99%

“…With continued deformation and heating the maximum at [11][12][13][14][15][16][17][18][19][20] disappears and the texture becomes weaker. We also see the formation of a weak maximum at 01-10 and a girdle 30° offset from 0001 ( Figure 7, # B 138(ε)).…”

Section: Iii-iv High Temperature Texturementioning

confidence: 99%

“…15,16 After the discovery of seismic anisotropy in the inner core, 17,18 it was proposed that origin of this anisotropy may be due to the development of preferred orientation of crystals in the inner core. [19][20][21][22][23] The texture evolution of hcp Fe was studied at pressures up to 220 GPa at ambient temperature using the rDAC. Based on the texture pattern with a maximum of 0001 poles near the compression axis, it was inferred, through the use of polycrystal plasticity modeling, that slip on the basal (0001) plane was dominant under these conditions.…”

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confidence: 99%

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In situ phase transformation and deformation of iron at high pressure and temperature

Miyagi

Kunz

Knight

et al. 2008

Journal of Applied Physics

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With a membrane based mechanism to allow for pressure change of a sample in a radial diffraction diamond anvil cell (rDAC) and simultaneous infra-red laser heating, it is now possible to investigate texture changes during deformation and phase transformations over a wide range of temperature-pressure conditions. The device is used to study bcc (α), fcc (γ) and hcp (ε) iron. In bcc iron, room temperature compression generates a texture characterized by (100) and (111) poles parallel to the compression direction. During the deformation induced phase transformation to hcp iron, a subset of orientations are favored to transform to the hcp structure first and generate a texture of (01-10) at high angles to the compression direction. Upon further deformation, the remaining grains transform, resulting in a texture that obeys the Burgers relationship of (110) bcc // (0001) hcp . This is in contrast to high temperature results that indicate that texture is developed through dominant pyramidal 〈a+c〉 {2-1-12}〈2-1-13〉 and basal (0001)〈2-1-10〉 slip based on polycrystal plasticity modeling. We also observe that the high temperature fcc phase develops a 110 texture typical for fcc metals deformed in compression.

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“…Elasticity tensors and the orientation dependence of v p , v S1 and v S2 (subscripts 1 and 2 denote two polarization directions) are calculated from parameters in equation (6) (see Fig. 3 legend) at the isostress limit 15,28 . Examples for h.c.p.…”

mentioning

confidence: 99%

Erratum: Elasticity and rheology of iron above 220 GPa and the nature of the Earth's inner core

Mao¹,

Shu²,

Shen³

et al. 1999

Nature

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Development of texture and elastic anisotropy during deformation of hcp metals

Cited by 59 publications

References 17 publications

A model for texture development dominated by deformation twinning: Application to zirconium alloys

A model for texture development dominated by deformation twinning: Application to zirconium alloys

In situ phase transformation and deformation of iron at high pressure and temperature

Erratum: Elasticity and rheology of iron above 220 GPa and the nature of the Earth's inner core

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