Elastic and plastic anisotropy in sheets of cubic metals

Davies, G. J.; Goodwill, Dominic; Kallend, J. S.

doi:10.1007/bf02643055

Cited by 84 publications

(22 citation statements)

References 23 publications

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“…The results compared favorably with the texture measurements made with x-rays [4], neutron diffraction and destructive r-va1ue tests [5]. The ODC's are also known to be related to the earing behavior of the material [4,6].…”

mentioning

confidence: 66%

Ultrasonic Measurement of the Earing Behavior of Aluminum Plate

Morris

1991

Review of Progress in Quantitative Nondestructive Evaluation

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mentioning

confidence: 66%

Ultrasonic Measurement of the Earing Behavior of Aluminum Plate

Morris

1991

Review of Progress in Quantitative Nondestructive Evaluation

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“…It has been shown 16,17) that the plastic anisotropy of cubic metals is largely determined by the fourth order coefficients, C ®4 . The deep drawing properties of sheet materials mainly depend on C 16) The through-thickness fourth order texture coefficients are listed in Table 3.…”

Section: Fourth Order Texture Coefficientsmentioning

confidence: 99%

Textural Through-Thickness Inhomogeneity of Interstitial-Free Steel and Its Influence on Plastic Anisotropy Prediction

Yin

Yang

et al. 2014

Mater. Trans.

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The paper presents a rapid texture measurement method and r-value prediction model for cold-rolled sheets using XRD nondestructive testing data. First the textural through-thickness inhomogeneity in two deep drawing steels, DC05 and DC06, was measured by XRD and described using the orientation distribution function (ODF), the results reveal that the textural inhomogeneity of cold-rolled sheet exhibits little through-thickness inhomogeneity. Then the experimentally measured r-values were compared with theoretical r-values calculated using the reaction stress model applied through the sheet thickness direction, a good match was found between r-values predicted by the reaction stress model based on the rapid texture measurement method at the sheet surface and experimental data. Finally the prospect for industrial application of this technique was discussed in detail.

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“…The coupling of elastic and plastic anisotropy. There is experimental evidence that for textured polycrystals the effective elastic and (visco)plastic properties are correlated (Bunge and Roberts, 1969;Stickels and Mould, 1970;Kallend and Davies, 1971;Davies et al, 1972). Therefore, the anisotropy of the (visco)plastic behavior can be inferred not only from destructive tests but also from non-destructive measurements of the elastic anisotropy parameters.…”

Section: Notationmentioning

confidence: 99%

Modeling of deformation induced anisotropy in free-end torsion

Böhlke¹,

Bertram²,

Krempl³

2003

International Journal of Plasticity

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The main purpose of this work is to develop a phenomenological model, which accounts for the evolution of the elastic and plastic properties of fcc polycrystals due to a crystallographic texture development and predicts the axial effects in torsion experiments. The anisotropic portion of the effective elasticity tensor is modeled by a growth law. The flow rule depends on the anisotropic part of the elasticity tensor. The normalized anisotropic part of the effective elasticity tensor is equal to the 4th-order coefficient of a tensorial Fourier expansion of the crystal orientation distribution function. Hence, the evolution of elastic and viscoplastic properties is modeled by an evolution equation for the 4th-order moment tensor of the orientation distribution function of an aggregate of cubic crystals. It is shown that the model is able to predict the plastic anisotropy that leads to the monotonic and cyclic Swift effect. The predictions are compared to those of the Taylor-Lin polycrystal model and to experimental data. In contrast to other phenomenological models proposed in the literature, the present model predicts the axial effects even if the initial state of the material is isotropic.

show abstract

Elastic and plastic anisotropy in sheets of cubic metals

Cited by 84 publications

References 23 publications

Ultrasonic Measurement of the Earing Behavior of Aluminum Plate

Ultrasonic Measurement of the Earing Behavior of Aluminum Plate

Textural Through-Thickness Inhomogeneity of Interstitial-Free Steel and Its Influence on Plastic Anisotropy Prediction

Modeling of deformation induced anisotropy in free-end torsion

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