An inverse optimization strategy to determine single crystal mechanical behavior from polycrystal tests: Application to AZ31 Mg alloy

Herrera-Solaz, V.; LLorca, J.; Dogan, E.; Караман, И.; Segurado, J.

doi:10.1016/j.ijplas.2014.02.001

Cited by 113 publications

(58 citation statements)

References 47 publications

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“…If some components of the far-field deformation gradient are not known a priori (mixed boundary conditions, as in uniaxial compression), the corresponding components of the effective stresses are applied instead following the strategy presented in [23].…”

Section: Computational Homogenization Frameworkmentioning

confidence: 99%

“…In any case, the determination of the single-crystal behavior still remains the main issue in polycrystalline homogenization. Different approaches can be used to obtain the single crystal properties: from a multiscale bottom-up approach ranging from the heterogeneous subgrain microstructure to the grain mesoscale [18], to an inverse analysis strategy in which the single crystal behavior is chosen to reproduce the results of a set of mechanical tests in polycrystals [19][20][21][22][23] or of a set of indentation tests in single crystals [24,25]. Neither strategy is fully convincing as multiscale modeling strategies are not yet mature enough and the extrapolation of the parameters obtained by inverse analysis strategies to other scenarios (different from the one used in the inverse analysis) can be questioned.…”

Section: Introductionmentioning

confidence: 99%

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Multiscale modeling of the mechanical behavior of IN718 superalloy based on micropillar compression and computational homogenization

et al. 2015

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a b s t r a c tA multiscale modeling strategy is presented to determine the effective mechanical properties of polycrystalline Ni-based superalloys. They are obtained by computational homogenization of a representative volume element of the microstructure which was built from the grain size, shape and orientation distributions of the material. The mechanical behavior of each grain was simulated by means of a crystal plasticity model, and the model parameters that dictate the evolution of the critical resolved shear stress in each slip system (including viscoplastic effects as well as self and latent hardening) were obtained from compression tests in micropillars milled from grains of the polycrystal in different orientations suited for single, double (coplanar and non coplanar) and multiple slip. The multiscale model predictions of the compressive strength of wrought IN718 were in good agreement with the experimental results.

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Section: Computational Homogenization Frameworkmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Multiscale modeling of the mechanical behavior of IN718 superalloy based on micropillar compression and computational homogenization

et al. 2015

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“…Moreover, it is easy to anticipate that large uncertainty of modeling parameters may also induce large uncertainty of predicted local fields calculated within a polycrystalline model (see the next section for more details). Anyhow, finding a "true" parameter set from raw polycrystalline data is certainly possible, but may require additional validation with other complementary experiments [46]. …”

Section: Comparison With Simpler Hardening Modelsmentioning

confidence: 99%

Combining Single- and Poly-Crystalline Measurements for Identification of Crystal Plasticity Parameters: Application to Austenitic Stainless Steel

Shawish

Cizelj

2017

Crystals

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Abstract:Crystal plasticity finite element models have been extensively used to simulate various aspects of polycrystalline deformations. A common weakness of practically all models lies in a relatively large number of constitutive modeling parameters that, in principle, would require dedicated measurements on proper length scales in order to perform reliable model calibration. It is important to realize that the obtained data at different scales should be properly accounted for in the models. In this work, a two-scale calibration procedure is proposed to identify (conventional) crystal plasticity model parameters on a grain scale from tensile test experiments performed on both single crystals and polycrystals. The need for proper adjustment of the polycrystalline tensile data is emphasized and demonstrated by subtracting the length scale effect, originating due to grain boundary strengthening, following the Hall-Petch relation. A small but representative volume element model of the microstructure is identified for fast and reliable identification of modeling parameters. Finally, a simple hardening model upgrade is proposed to incorporate the grain size effects in conventional crystal plasticity. The calibration strategy is demonstrated on tensile test measurements on 316L austenitic stainless steel obtained from the literature.

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“…These parameters can be extracted from experimental data by several algorithms (see an example of the use of the Levenberg-Marquardt algorithm in [19]). The different iterations of the identification algorithm require multiple resolutions of the direct problem and this can be excessively timeconsuming.…”

Section: Example 1: Calibration Of Materials Parameters For Polycrystamentioning

confidence: 99%

A model-reduction approach to the micromechanical analysis of polycrystalline materials

Michel

Suquet

2016

Comput Mech

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To cite this version:Jean-Claude Michel, Pierre Suquet. A model-reduction approach to the micromechanical analysis of polycrystalline materials. Computational Mechanics, Springer Verlag, 2016, 57, pp.483-508. 10.1007/s00466-015-1248 A model-reduction approach to the micromechanical analysis of polycrystalline materials AbstractThe present study is devoted to the extension to polycrystals of a model-reduction technique introduced by the authors, called the Nonuniform Transformation Field Analysis (NTFA). This new reduced model is obtained in two steps. First the local fields of internal variables are decomposed on a reduced basis of modes as in the NTFA. Second the dissipation potential of the phases is replaced by its tangent second-order (TSO) expansion. Thanks to the second approximation the reduced evolution equations of the model can be entirely expressed in terms of quantities which can be pre-computed once for all. Roughly speaking, these pre-computed quantities depend only on the average and fluctuations per phase of the modes and of the associated stress fields. The accuracy of the new NTFA-TSO model is assessed by comparison with full-field simulations on two specific applications, creep of polycrystalline ice and response of polycrystalline copper to a cyclic tension-compression test. The new reduced evolution equations is faster than the full-field computations by two orders of magnitude in the two examples.

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An inverse optimization strategy to determine single crystal mechanical behavior from polycrystal tests: Application to AZ31 Mg alloy

Cited by 113 publications

References 47 publications

Multiscale modeling of the mechanical behavior of IN718 superalloy based on micropillar compression and computational homogenization

Multiscale modeling of the mechanical behavior of IN718 superalloy based on micropillar compression and computational homogenization

Combining Single- and Poly-Crystalline Measurements for Identification of Crystal Plasticity Parameters: Application to Austenitic Stainless Steel

A model-reduction approach to the micromechanical analysis of polycrystalline materials

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