Assessment of crystal plasticity based calculation of the lattice spin of polycrystalline metals for FE implementation

Peeters, Bart; Hoferlin, E; Houtte, Paul Van; Aernoudt, Etienne

doi:10.1016/s0749-6419(00)00070-x

Cited by 39 publications

(32 citation statements)

References 15 publications

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“…However, in case of stable initial texture for the imposed strain mode, the Mandel spin W lattice is still quite far from the rigid body spin W but this time is well approximated by the simplified Mandel spin W rough lattice even when the texture is not updated. Finally, Peeters et al (2001) show that when the texture is updated after a given strain interval, the results given by W rough lattice approximate quite well the ones obtained by W lattice in all cases (stable and unstable texture). Yoon et al (2005) analysed the simple shear test using FE computation with two constitutive models (phenomenological model and Taylor-Bishop-Hill model).…”

Section: Introductionsupporting

confidence: 64%

“…For instance previous analyses were published by Mandel (1982), Hughes (1983), Dafalias (1983Dafalias ( , 1985Dafalias ( , 1998, Van Der Giessen (1991), Wu (2007). The specific case of simple shear was particularly studied in Bacroix et al (1994) and Peeters et al (2001).…”

Section: Introductionmentioning

confidence: 99%

“…Other teams use micro-macro approaches, where the texture evolution is known and used from time to time, to update the yield locus shape (Van Houtte and Van Bael, 2004). Between the updating steps of the yield locus after a given strain interval (typically after 20% of plastic deformation in Peeters et al (2001)), they rely on a constant yield locus shape that must again be expressed in a specific local frame. In both cases, the way the local axes rotations are computed can increase the simulation accuracy.…”

Section: Introductionmentioning

confidence: 99%

“…Moreover, they observe that the loss of orthotropy seems to be minimized with the Mandel spin. Peeters et al (2001) used a constant Taylor-Bishop-Hill model identified from an initial texture coupled with three different approaches to define the local axes position: (i) the macroscopic Jaumann approach or rigid body spin W, (ii) the use of an accurate Mandel spin W lattice taking into account the texture evolution computed by the Full Constraints Taylor model (Van Houtte and Rabet, 1997) and (iii) a simplified Mandel spin W rough lattice calculated without texture updating or with texture updating after successive strain intervals using the same micro-mechanical model. The authors show that the results are sensitive to the initial texture.…”

Section: Introductionmentioning

confidence: 99%

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Rotation of axes for anisotropic metal in FEM simulations

Duchêne

Lelotte

Flores

et al. 2008

International Journal of Plasticity

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For the FE simulations relying on elasto-plastic models based on anisotropic yield locus description, it is important for the simulation accuracy to follow a Cartesian reference frame, where the yield locus is expressed. The classical formulations like the Hill 1948 model keep a constant shape of the yield locus when other texture based yield loci regularly update their shape. However in all these cases, the rotation of the Cartesian reference frame must be known. For simple shear tests performed on steel sheets, experimental displacements provide the actual updated position of initial orthogonal grids. The initial and final texture measurements give information on the average crystals rotation. For Hill constitutive law and texture based models, this paper compares the experimental results with different ways to follow the Cartesian reference frame: the co-rotational method, an original method based on the constant symmetric local velocity gradient and the Mandel spin computed by four different methods.

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Section: Introductionsupporting

confidence: 64%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Rotation of axes for anisotropic metal in FEM simulations

Duchêne

Lelotte

Flores

et al. 2008

International Journal of Plasticity

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“…Using these techniques, highly textured sheet metals with pronounced mechanical anisotropy are produced, which may not be desirable for some industrial applications (Es-Said et al, 1995). It is generally recognized that crystallographic texture plays an important role in the mechanical anisotropy exhibited by these sheets (Miller et al, 1986;Lee et al, 1999;Inal, 2000;Ceccaldi, 1994;Peeters et al, 2001).…”

Section: Introductionmentioning

confidence: 99%

Modeling the evolution of anisotropy in Al–Li alloys: application to Al–Li 2090-T8E41

Garmestani

Kalidindi

Williams

et al. 2002

International Journal of Plasticity

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It is widely reported in current literature that the precipitation hardened Al-Li sheet alloys exhibit extremely high anisotropy in yield (and ultimate tensile) strength, which is well beyond what can be explained as purely a consequence of the strong crystallographic texture in the material (e.g. J. Mater. Sci. Eng. A265, 1999, 100). This paper presents a crystal plasticity based modeling framework that will (i) facilitate the segregation of the contributions to the overall anisotropy from crystallographic texture and precipitation hardening, and (ii) correlate the contribution from precipitate hardening to either co-planar slip activity or the noncoplanar slip activity in the cold-working step prior to the aging heat treatment. More specifically, a Taylor-type (fully-constrained) crystal plasticity model was formulated to predict the yield strength of the fully processed sheet and its anisotropy, while accounting for the initial texture in the hot-worked sheet, its evolution during the cold-working step prior to aging, and the inhomogeneous nucleation of the T 1 phase platelets (these are known to form on {111} planes, but not usually in equal amounts on the different {111} planes in a given crystal). In an effort to illustrate the methodology developed in the study, a limited set of experiments was conducted on Al-Li 2090-T8E41 alloy sheet. Off-axis stretches were applied on the sheet at room temperature prior to the aging treatment, and the mechanical anisotropy in the fully processed sheets was characterized by performing tension tests on coupons cut from the sheet at 0, 30, 45, 60 and 90 to the original rolling direction (RD). Both the initial texture in the sheet and its evolution during the different off-axis stretches were characterized. The alloys processed in this study showed pronounced anisotropy. The application of the methodology developed in this study revealed that much of the observed anisotropy in this particular data set could be explained by accounting for the texture in the sample in the processed condition. Although the data set available was inadequate to establish clear correlations of the anisotropy with preferential hardening mechanisms arising from either co-planar or non-co-planar slip activity during the off-axis stretch, there were indications favoring the latter. This case study, however, illustrates the application of the methodology developed in this study to obtain better insight into the nature of the anisotropy in these sheets and its physical origin. #

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Challenges in Computational Materials Science

Raabe

2002

Adv. Mater.

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Progress reports are a new type of article in Advanced Materials, dealing with the hottest current topics, and providing readers with a critically selected overview of important progress in these fields. It is not intended that the articles be comprehensive, but rather insightful, selective, critical, opinionated, and even visionary. We have approached scientists we believe are at the very forefront of these fields to contribute the articles, which will appear on an annual basis. The article below describes the latest advances in computational materials science.

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Assessment of crystal plasticity based calculation of the lattice spin of polycrystalline metals for FE implementation

Cited by 39 publications

References 15 publications

Rotation of axes for anisotropic metal in FEM simulations

Rotation of axes for anisotropic metal in FEM simulations

Modeling the evolution of anisotropy in Al–Li alloys: application to Al–Li 2090-T8E41

Challenges in Computational Materials Science

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