A yield criterion for cubic single crystals

Cazacu, Oana; Revil-Baudard, Benoît; Chandola, Nitin

doi:10.1016/j.ijsolstr.2017.04.006

Cited by 21 publications

(44 citation statements)

References 12 publications

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“…Note that the analytical estimates are very close to the numerical polycrystalline simulations results obtained using the same criterion (i.e. Cazacu et al 2017) for the description of the plastic behavior of the constituent grains. The shapes of both the () r  and     /0    curves are similar to those corresponding to the cube texture (compare Fig.…”

Section: Predictions Of Anisotropy Of Yield Stresses and Lankford Coesupporting

confidence: 76%

“…More details about the mathematical framework and the derivation of the expressions of these generalized invariants can be found in Cazacu et al (2017).…”

Section: Constitutive Modelmentioning

confidence: 99%

“…k. The remaining coefficients 234 ,, m n n and c can be determined from the tensile yield stresses along four different orientations. More details concerning the identification procedure can be found in Cazacu et al (2017).…”

Section: Constitutive Modelmentioning

confidence: 99%

“…For an ideal   110 001 textured sheet (Goss texture), using the single-crystal yield criterion of Cazacu et al (2017), an analytic formula for the evolution of the uniaxial yield stress ratio…”

Section: Cube-textured Polycrystalline Materialsmentioning

confidence: 99%

“…In summary, irrespective of the texture component considered the analytical formulas provide a very good estimate of the anisotropy in macroscopic plastic properties. Next, using the new yield criterion (Cazacu et al 2017) (see Eq.…”

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confidence: 99%

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Prediction of plastic anisotropy of textured polycrystalline sheets using a new single-crystal model

Chandola

Cazacu

Revil-Baudard

2018

Comptes Rendus. Mécanique

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In this paper, we predict the effect of texture on the anisotropy in plastic properties of polycrystalline metallic sheets. The constituent grain behavior is modelled using the new single crystal yield criterion developed by Cazacu, Revil, and Chandola (2017). For ideal texture components, the yield stress and plastic strain ratios can be obtained analytically. For the case of strongly textured sheets containing a spread about the ideal texture components, the polycrystalline response is obtained numerically on the basis of the same single-crystal criterion.It is shown that for textures with misorientation scatter width up to 25º, the numerical predictions are very close to those obtained analytically for an ideal texture. Furthermore, irrespective of the number of grains in the sample, Lankford coefficients have finite values for all loading orientations. Illustrative examples for sheets with textures containing a combination of few ideal texture components are also presented. The simulations of the predicted polycrystalline behavior based on the new description of the plastic behavior of the constituent grains capture the influence of individual texture components on the overall degree of anisotropy. The polycrystalline simulation results are also compared to analytical estimates obtained using the closed-form formulas for the ideal components present in the texture in conjunction with a simple law of mixtures. The analytical estimates show the same trends as the simulation results.Therefore, the trends in plastic anisotropy of the macroscopic properties can be adequately estimated analytically.

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Section: Predictions Of Anisotropy Of Yield Stresses and Lankford Coesupporting

confidence: 76%

“…More details about the mathematical framework and the derivation of the expressions of these generalized invariants can be found in Cazacu et al (2017).…”

Section: Constitutive Modelmentioning

confidence: 99%

Section: Constitutive Modelmentioning

confidence: 99%

Section: Cube-textured Polycrystalline Materialsmentioning

confidence: 99%

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confidence: 99%

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