Determination and analysis of the constitutive parameters of temperature-dependent dislocation-density-based crystal plasticity models

Sedighiani, Karo; Τράκα, Κωνσταντίνα; Roters, Franz; Raabe, Dierk; Sietsma, Jilt; Diehl, Martin

doi:10.1016/j.mechmat.2021.104117

Cited by 42 publications

(19 citation statements)

References 65 publications

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“…Compared to Sedighiani et al Sedighiani et al (2020, our analysis shows some agreements, but mostly differ in the set of sensitive parameters. Possible explanations are due to (1) different quantities of interest and (2) methodological approach: Sedighiani et al Sedighiani et al (2020Sedighiani et al ( , 2022 studies are conducted based on ANOVA, whereas our approach relies on global sensitivity analysis with Sobol' indices.…”

Section: Numerical Resultsmentioning

confidence: 99%

“…We adopt the summary and tabulated parameters from Sedighiani et al (2020Sedighiani et al ( , 2022 (Tables 1 and 2). In the phenomenological constitutive model, the shear on each slip system α is modeled as…”

Section: Constitutive Lawmentioning

confidence: 99%

“…Parameters for Mg used in this case study (cf. Tables 7 and 8 Sedighiani et al (2020Sedighiani et al ( , 2022, Wang et al (2014);Tromans (2011); Agnew et al (2006)).…”

Section: Constitutive Lawmentioning

confidence: 99%

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Microstructure-sensitive uncertainty quantification for crystal plasticity finite element constitutive models using stochastic collocation methods

Tran¹,

Wildey²,

Lim³

2022

Preprint

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Uncertainty quantification (UQ) plays a major role in verification and validation for computational engineering models and simulations, and establishes trust in the predictive capability of computational models. In the materials science and engineering context, where the process-structure-property-performance linkage is well known to be the only road mapping from manufacturing to engineering performance, numerous integrated computational materials engineering (ICME) models have been developed across a wide spectrum of length-scales and time-scales to relieve the burden of resource-intensive experiments. Within the structure-property linkage, crystal plasticity finite element method (CPFEM) models have been widely used since they are one of a few ICME toolboxes that allows numerical predictions, providing the bridge from microstructure to materials properties and performances. Several constitutive models have been proposed in the last few decades to capture the mechanics and plasticity behavior of materials. While some UQ studies have been performed, the robustness and uncertainty of these constitutive models have not been rigorously established. In this work, we apply a stochastic collocation (SC) method, which is mathematically rigorous and has been widely used in the field of UQ, to quantify the uncertainty of three most commonly used constitutive models in CPFEM, namely phenomenological models (with and without twinning), and dislocationdensity-based constitutive models, for three different types of crystal structures, namely face-centered cubic (fcc) copper (Cu), body-centered cubic (bcc) tungsten (W), and hexagonal close packing (hcp) magnesium (Mg). Our numerical results not only quantify the uncertainty of these constitutive models in stress-strain curve, but also analyze the global sensitivity of the underlying constitutive parameters with respect to the initial yield behavior, which may be helpful for robust constitutive model calibration works in the future.

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Section: Numerical Resultsmentioning

confidence: 99%

Section: Constitutive Lawmentioning

confidence: 99%

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Microstructure-sensitive uncertainty quantification for crystal plasticity finite element constitutive models using stochastic collocation methods

Tran¹,

Wildey²,

Lim³

2022

Preprint

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“…A dedicated study on the impact of different phenomenological and physical hardening laws (see, for instance, Demir et al [10], Lim et al [52]) on the stress distribution in the plastic regime would considerably expand upon the present work and aid to generalize its findings. In this context, Sedighiani et al [77] have recently demonstrated that the application of a temperaturedependent dislocation-density-based crystal plasticity model allows predicting the mechanical behavior of polycrystals over a wide range of deformation temperatures and strain rates using the same physicsbased parameter set. Therefore, such a physics-based crystal plasticity model should be considered in the potential future study.…”

Section: Elastic Moduli Flow Rule (Chaboche) Linear Exponential Harde...mentioning

confidence: 99%

FFT-based investigation of the shear stress distribution in face-centered cubic polycrystals

Gehrig¹,

Wicht²,

Krause³

et al. 2022

Preprint

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The onset of nonlinear effects in metals, such as plasticity and damage, is strongly influenced by the heterogeneous stress distribution at the grain level. This work is devoted to studying the local stress distribution in fcc polycrystals using FFT-based solvers. In particular, we focus on the distribution of shear stresses resolved in the slip systems as the critical driving force for plastic deformations. Specific grain orientations with respect to load direction are investigated in the linear elastic regime and at incipient plastic deformations based on a large ensemble of microstructures. The elastic anisotropy of the single crystal is found to have a crucial influence on the scatter of the stress distribution, whereas the Young's modulus in the respective crystal direction governs the mean stress in the grain. It is further demonstrated that, for higher anisotropy, the shear stresses deviate from the normal distribution and are better approximated by a log-normal fit. Comparing the full-field simulations to the Maximum Entropy Method (MEM), reveals that the MEM provides an excellent prediction up to the second statistical moment in the linear elastic range. In a study on the spatial distribution of shear stresses, the grain boundary is identified as a region of pronounced stress fluctuations and as the starting point of yielding during the elastic-plastic transition.

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“…A crystal plasticity-based microstructural approach for investigating material behavior is comparatively more accurate than empirical and phenomenological studies [21][22][23]. The large-scale crystal plasticity finite element method (CPFEM), with multiple calculation points in a single orientation, can evaluate the average mechanical response of a polycrystalline material.…”

Section: Introductionmentioning

confidence: 99%

Influence of Non-Metallic Inclusions on Local Deformation and Damage Behavior of Modified 16MnCrS5 Steel

et al. 2022

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This work investigates a ferrite matrix with multiple non-metallic inclusions to evaluate their influence on the global and local deformation and damage behavior of modified 16MnCrS5 steel. For this purpose, appropriate specimens are prepared and polished. The EBSD technique is used to record local phase and orientation data, then analyze and identify the size and type of inclusions present in the material. The EBSD data are then used to run full phase crystal plasticity simulations using DAMASK-calibrated material model parameters. The qualitative and quantitative analysis of these full phase simulations provides a detailed insight into how the distribution of non-metallic inclusions within the ferrite matrix affects the local stress, strain, and damage behavior. In situ tensile tests are carried out on specially prepared miniature dog-bone-shaped notched specimens in ZEISS Gemini 450 scanning electron microscope with a Kammrath and Weiss tensile test stage. By adopting an optimized scheme, tensile tests are carried out, and local images around one large and several small MnS inclusions are taken at incremental strain values. These images are then processed using VEDDAC, a digital image correlation-based microstrain measurement tool. The damage initiation around several inclusions is recorded during the in situ tensile tests, and damage initiation, propagation, and strain localization are analyzed. The experimental results validate the simulation outcomes, providing deeper insight into the experimentally observed trends.

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Determination and analysis of the constitutive parameters of temperature-dependent dislocation-density-based crystal plasticity models

Cited by 42 publications

References 65 publications

Microstructure-sensitive uncertainty quantification for crystal plasticity finite element constitutive models using stochastic collocation methods

Microstructure-sensitive uncertainty quantification for crystal plasticity finite element constitutive models using stochastic collocation methods

FFT-based investigation of the shear stress distribution in face-centered cubic polycrystals

Influence of Non-Metallic Inclusions on Local Deformation and Damage Behavior of Modified 16MnCrS5 Steel

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