Crystal rotations during the rolling of large-grained aluminium sheet

Skalli, A.; Fortunier, Roland; Fillit, R.Y.; Driver, J.H.

doi:10.1016/0001-6160(85)90194-4

Cited by 54 publications

(19 citation statements)

References 8 publications

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“…Deformation and recrystallization in the grain boundary region have already been studied in detail by using bi-crystal specimens or polycrystalline specimens in which coarse grains penetrate the whole plate thickness(4)- (9). However, since the constraints of the neighbouring grain in these cases are only twodimensional, conclusions obtained from these investigations cannot be applied directly to fine grained specimens, in which constraints of the neighbouring grain is not only three-dimentional but also much stronger.…”

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confidence: 99%

Nucleation of a {111} Recrystallized Grain at the Grain Boundary of Cold Rolled Polycrystalline Iron

Inagaki

1987

Trans. JIM

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Using transmission electron microscopy and selected area electron diffraction, nucleation of {111} recrystallized grains at grain boundaries was studied in an Fe-0.02%C alloy cold rolled by 75% and isothermally annealed at 773 K. It turned out that the grain boundary region of a {111} grain neighbouring a {111}<110> grain rotated during rolling about the [111]//ND axis into the {111}<110> orientation, so that both stress and strain compatibilities might be satisfied simultaneously. Contrary to the modified Taylor theory proposed recently by some authors, the compatibility strains were accommodated not homogeneously by the entire grain but within a limited distance from the grain boundary. From the highly strained {111} <110> region thus created in the grain boundary region of the {111} grain, nucleation of the {111}<110> recrystallized grain occurred preferentially. In the case of a {111} <110> grain neighbouring a {100} <011> grain, the grain boundary region rotated during rolling about the [111]//ND axis toward the {111}<112> orientation. From this region, {111} recrystallized grains considerably remote from the {111}<110> orientation were found to be preferentially formed.

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Nucleation of a {111} Recrystallized Grain at the Grain Boundary of Cold Rolled Polycrystalline Iron

Inagaki

1987

Trans. JIM

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“…This comparison validates the accuracy of the developed algorithm. The compression test presented in Skalli et al (1985) is simulated in this section. The numerical predictions in terms of texture evolution are favorably compared with the experimental results.…”

Section: Numerical Resultsmentioning

confidence: 99%

“…This result is consistent with the results observed in Section 5.2.3(c). Skalli et al (1985) have studied (from numerical and experimental point of views) the mechanical behavior of 99.993% high purity aluminum sheets submitted to a compression test in the thickness direction. The sheets were obtained at the Voreppe research center of Cegedur Aluminium Pechiney by critical strain annealing.…”

Section: Comparison With Miehe's Predictionsmentioning

confidence: 99%

“…The sheets were obtained at the Voreppe research center of Cegedur Aluminium Pechiney by critical strain annealing. Experimentally, the evolution of the different grain orientations were measured on the basis of the grain shapes during compression (Skalli et al, 1985). In their research two sheets were considered: a sheet named A and a sheet named B with thicknesses of 2 and 4 mm respectively.…”

Section: Comparison With Miehe's Predictionsmentioning

confidence: 99%

“…Earlier (Renouard and Wintenberger, 1981) proposed a method to select the combination of the active set of slip systems based on the fact that some combinations rotate towards orientations which need less internal work dissipation than others. This strategy is followed by Driver et al (1984), Fortunier and Driver (1987) and Skalli et al (1985) in order to simulate the behavior of aluminum single crystals. Franciosi and Zaoui (1991) used a minimizing hardening criterion in order to select the set of active slip systems.…”

Section: Introductionmentioning

confidence: 99%

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On the numerical integration of rate independent single crystal behavior at large strain

Bettaieb¹,

Débordes

Dogui³

et al. 2012

International Journal of Plasticity

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a b s t r a c tThis paper presents a new numerical algorithm for the integration of the constitutive equations of a single crystal for finite rate-independent elastoplastic strains. The algorithm addressed in this paper is dedicated to face-centered-cubic (FCC) crystal structures. Its first feature is a much more efficient and more accurate integration scheme of the constitutive equations compared to previous attempts. This scheme is based on a fully implicit integration procedure, yet it may be transformed easily into an explicit scheme. Determining the set of active slip systems is performed by the use of a combinatorial search procedure, and the determination of the slip rates of the different active slip systems is based on the fixed point method. The second feature of this algorithm stems from the original method used to solve the ambiguity of the possible non-uniqueness of the set of active slip systems. A robust method, based on a small positive perturbation of the critical shear stresses, is proposed to overcome this difficulty. It is worth mentioning that the algorithm developed in this paper is not limited to one particular hardening law or to FCC crystal structures. Rather, it can be used and extended to various hardening laws and crystal structures (e.g. BCC or HCP. . .) in a straightforward manner. The authors demonstrate the performance of the proposed algorithm and illustrate its accuracy and efficiency through various numerical simulations at the single crystal and polycrystal scales. The predicted results obtained from those simulations were compared with those obtained using other numerical techniques and algorithms (i.e., a pseudo-inversion technique and an explicit algorithm). Our numerical predictions are also compared with some numerical and experimental results from other papers. The response of the polycrystal was computed by using the proposed algorithm combined with Taylor's homogenization scheme, which is used to compute the overall polycrystalline behavior. The paper ends with a statistical study of the influence of the perturbation technique on the response prediction for a single crystal and a polycrystal.

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