Measurement and prediction of plastic anisotropy in deep-drawing steels

Daniel, D. Joseph; Jonas, John J.

doi:10.1007/bf02782413

Cited by 104 publications

(42 citation statements)

References 20 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…10, good quantitative agreements between measured and calculated values were obtained for the planar anisotropies and average r-values predicted by using the RC1323 model with a CRSS ratio τ c{211} /τ c{110} of 1.1 for both Type 436L and Type 409L. It has previously been shown that the RC1323 model is appropriate for sheets of low-carbon steel 21,22,24) and ferritic stainless steel sheets. 27) Our results for Type A show that this calculation method is also suitable for the materials having extremely high r-values.…”

Section: Prediction Of Planar Anisotropy Of R-value By Taylormentioning

confidence: 54%

“…[19][20][21][22][23][24][25][26][27] To determine a suitable model for ferritic stainless steel sheets with extremely high r-values, and to consider the possibility of limitation of slip system by chromium, 12) the anisotropies of the r-values were predicted on the basis of ODF data by using the Taylor full-constraints (FC) model 19) and the relaxed-constraints (RC) model, 20) in which some shear strain components were relaxed relative to those in the fully constrained state. Software developed by one of the authors was used in this calculation.…”

Section: Prediction Of Planar Anisotropy Of R-value By Taylormentioning

confidence: 99%

“…23,24) Here, the RC1323 model, i.e., the pancake version in which e13 and e23 (where 1, 2, and 3 are defined as the tensile, width, and thickness directions, respectively) were left free, was used as the RC model, because it was an optimal model for BCC steels in previous studies. 21,22,24,27) In the case of the FC model, only the {110} slip plane was considered, and in the case of the RC1323 model, in addition to the {110} slip plane, the values of the critical resolved shear stress (CRSS) ratio for the {211} and {110} glide planes (τc{211}/τc{110}) were assumed to be 0.9, 1.0, and 1.1 in these calculations. Figure 10 shows the measured and calculated planar anisotropies of the r-value for some recrystallized samples of Type 436L and Type 409L with different cold rolling textures of Types A and C, which have high r-values.…”

Section: Prediction Of Planar Anisotropy Of R-value By Taylormentioning

confidence: 99%

See 2 more Smart Citations

Effect of Texture on r-value of Ferritic Stainless Steel Sheets

2011

View full text Add to dashboard Cite

The effects of cold rolling texture on the formation of recrystallization texture and the relationship between recrystallization texture and r-value were investigated for sheets of titanium-stabilized extra-high purity Type 436L and Type 409L ferritic stainless steels. The recrystallization texture and average r-value were affected by the cold rolling texture. Annealed sheets with a sharp γ-fiber texture and very high average r-values were obtained from cold-rolled sheets with a strong γ-fiber texture (Type A). On the other hand, the {h,1,1}<1/h,1,2> fiber texture developed from cold-rolled sheets with a strong α-fiber texture (Type C). In terms of the relationship between {111} intensity and the average r-value, chromium content had less effect than the cold rolling texture. The planar anisotropies of r-values and the average r-values of Type 436L and 409L sheets with Type A cold rolling textures agreed well with those calculated from the textures in the center layers by using the relaxed-constraints model and the CRSS ratio τc{211}/τc{110} of 1.1. On the other hand, for the sheets with Type C cold rolling textures and a marked texture gradient, it was necessary to consider the texture gradient in the thickness direction. The texture inhomogeneity by the orientations other than {111} texture affected the relationship between {111} intensity and average rvalue.

show abstract

Section: Prediction Of Planar Anisotropy Of R-value By Taylormentioning

confidence: 54%

Section: Prediction Of Planar Anisotropy Of R-value By Taylormentioning

confidence: 99%

Section: Prediction Of Planar Anisotropy Of R-value By Taylormentioning

confidence: 99%

See 1 more Smart Citation

Effect of Texture on r-value of Ferritic Stainless Steel Sheets

2011

View full text Add to dashboard Cite

show abstract

“…Predictions of the anisotropy of the rvalue in polycrystalline materials have been made using a crystallite orientation distribution function (ODF) and theoretical treatments based on the Taylor theory. [11][12][13][14][15][16][17][18][19][20][21][22][23][24][25] The pole figures required for calculating the ODF are generally obtained from the X-ray diffraction of a plane parallel to the sheet surface. However, it is known that some ferritic stainless steel sheets and some Fe-3% Si steel sheets have inhomogeneous texture in the thickness direction.…”

Section: Introductionmentioning

confidence: 99%

Estimation of Planar Anisotropy of the <I>r</I>-Value in Ferritic Stainless Steel Sheets

Hamada

Agata²,

Inoue

2009

Mater. Trans.

View full text Add to dashboard Cite

Planar anisotropies of r-values are calculated from crystallite orientation distribution functions (ODFs) by using the Taylor theory. These values are compared with experimentally obtained values for two kinds of ferritic stainless steel sheets with different planar anisotropies of the rvalues and different texture gradients in the thickness direction. Moreover, the most suitable model for predicting the r-value of ferritic stainless steel sheets is examined. For a material with a remarkable texture gradient in the thickness, the ODF in a particular plane perpendicular to the normal direction was unsuitable for predicting the planar anisotropy of the r-value. On the other hand, r-value calculated using the average ODF through sheet thickness measured in a section perpendicular to the transverse direction shows good agreement with the experimentally obtained. The relaxed-constraints model, in which the shear strain components e 13 and e 23 , are relaxed with a CRSS ratio of 1.1 in the f211gh111i and f110gh111i slip systems is the most suitable model for predicting the planar anisotropy of the r-value in ferritic stainless steel sheets.

show abstract

“…The Taylor relaxed constraints (RC) model 4) can somehow take into account the morphological anisotropy of microstructures such as the pancake-shaped grains in rolled material. Such morphological anisotropy might be considered to have a minor effect compared to the influence of the crystallographic anisotropy.…”

Section: Introductionmentioning

confidence: 99%