Image-based crystal plasticity FE framework for microstructure dependent properties of Ti–6Al–4V alloys

Thomas, Josh; Groeber, Michael A.; Ghosh, Somnath

doi:10.1016/j.msea.2012.06.006

Cited by 61 publications

(22 citation statements)

References 25 publications

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“…The objective of this problem is to match the global tensile and compression stress-strain curve behavior, which is known through experiments, and the model is validated by comparing against experimentally measured ODFs after compression. Compared to the other alloys, such as Ti-6Al-4V [36][37][38], the parameters of Ti-7Al are not studied extensively in literature. Therefore the optimization results for the crystal plasticity model realization produce unique data, which will be beneficial to future studies in the field.…”

Section: Introductionmentioning

confidence: 99%

Crystal Plasticity Modeling and Experimental Validation with an Orientation Distribution Function for Ti-7Al Alloy

Acar

Ramazani

Sundararaghavan

2017

Metals

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An orientation distribution function based model is used for micromechanical modeling of the titanium-aluminum alloys, Ti-0 wt % Al and Ti-7 wt % Al, which are in demand for many aerospace applications. This probability descriptor based modeling approach is different than crystal plasticity finite element techniques since it computes the averaged material properties using upper bound averaging. A rate-independent single-crystal plasticity model is implemented to compute the effect of macroscopic strain on the polycrystal. An optimization problem is defined for calibrating the basal, prismatic, pyramidal slip system and twin parameters using the available tension and compression experimental data. The crystal plasticity parameters of Ti-7 wt % Al are not studied extensively in literature, and therefore the optimization results for the crystal plasticity model realization produce unique data, which will be beneficial to future studies in the field. The sensitivities of the slip and twin parameters to the design objectives are also investigated to identify the most critical slip system parameters. Using the optimum design parameters, the microstructural textures, during the tension test, are predicted by the crystal plasticity finite element simulations, and compared to the available experimental texture and scanning electron microscope-digital image correlation data.

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Section: Introductionmentioning

confidence: 99%

Crystal Plasticity Modeling and Experimental Validation with an Orientation Distribution Function for Ti-7Al Alloy

Acar

Ramazani

Sundararaghavan

2017

Metals

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“…However, these methods need 3D data for microstructure reconstruction. In the present work, 3D statistics are estimated from extrapolation of 2D surface EBSD data on polycrystalline specimens as done in (Thomas et al, 2012) for other alloys. The 2D EBSD images for both samples in figure 1 are characterized.…”

Section: Generating Virtual Microstructuresmentioning

confidence: 99%

“…With increasing computing power and low costs, a large number of image-based models of polycrystalline materials have been developed for simulations and property evaluation, e.g. in (Thomas et al, 2012;Clayton, 2005;Anahid et al, 2011;Cheng and Ghosh, 2015;F. et al, 2010;Roters et al, 2010;Lebensohn et al, 2012;Lebensohn, 2001;Knezevic et al, 2009) and others.…”

Section: Introductionmentioning

confidence: 99%

Crystal plasticity FE modeling of Ti alloys for a range of strain-rates. Part II: Image-based model with experimental validation

Ghosh

Shahba

et al. 2016

International Journal of Plasticity

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The second of this two-part paper develops an image-based crystal plasticity finite element model for simulating hcp metals deforming at a wide of range of strainrates. It incorporates a unified flow rule based crystal plasticity constitutive model, combining the thermally-activated and drag-dominated stages of dislocation glide, proposed in part I . The image-based CPFE uses 3D statistically-equivalent virtual microstructures that are constructed by stereology and statistics from 2D surface EBSD maps. The statistically equivalent virtual microstructures are constructed for the Ti-7Al alloy in as-rolled (AR) and rolledannealed (RA) conditions. The virtual microstructures are discretized into 3D tetrahedral elements that are stabilized to yield locking-free large deformation FE results. This paper demonstrates the competency of the model for simulating deformation of the polycrystalline Ti-7Al alloy microstructures under quasi-static and high rates of deformation. Room temperature compression tests at quasi-static (10 −3 s −1 ) and dynamic strain rates (1000 -4000s −1 ) are performed and used to calibrate and validate the constitutive model. The simulations reveal that the decrease in the hardening rate is significant under adiabatic conditions due to the promotion of slip-driven plasticity. The effect of degradation of elastic constants with temperature on the macroscopic behavior is noticeable only at the later stages of deformation. A study on adiabatic heating reveals that grains undergoing severe plastic deformation do not necessarily yield higher temperatures. In contrast, grains that are less favorably oriented for dislocation slip could experience higher adiabatic heating due to higher local stresses.

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“…Virtual polycrystalline microstructures are generated using methods and codes described in [46][47][48], by matching morphological and crystallographic statistics obtained from EBSD data of microstructural sections. The virtual 3D models have distributions of orientation, misorientation, microtexture, grain size and number of neighbors that are statistically equivalent to those observed experimentally in the OIM scans.…”

Section: E Validation Of the Homogenized Ae-cp Modelmentioning

confidence: 99%

Multi-Scale Crystal Plasticity FEM Approach to Modeling Nickel-Based Superalloys

Ghosh

2014

55th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference

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A hierarchical crystal plasticity constitutive model, comprising three different scales for polycrystalline microstructures of Ni-based superalloys, is developed in this paper. Specifically, an activation energy-based crystal plasticity (AE-CP) FEM model is developed incorporating characteristic parameters of the sub-grain scale γ γ′ − morphology. A significant advantage of this homogenized AE-CP model is that its high efficiency enables it to be effectively incorporated in polycrystalline crystal plasticity FE simulations, while retaining the accuracy of detailed sub-grain level RVE models. Sub-grain level RVE models are created with explicit morphology, e.g. with variable volume fraction, precipitate shape and the channel-widths. The sub-grain crystal plasticity model incorporates a sizedependent dislocation density-based crystal plasticity model together with the mechanism of anti-phase boundary (APB) shearing of precipitates. The sub-grain model is homogenized for developing parametric functions of morphological variables in evolution laws of the AE-CP model. Micro-twinning initiation and evolution models are incorporated in the single crystal AE-CP finite element models for manifesting tension-compression asymmetry. In the next ascending scale, a polycrystalline microstructure of Ni-based superalloys is simulated using an augmented AE-CP FE model with micro-twinning. Statistically equivalent virtual polycrystals of the alloy CMSX-4 are created for simulations with the homogenized model. The results of simulations at each scale are compared with experimental data with good agreement.

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Image-based crystal plasticity FE framework for microstructure dependent properties of Ti–6Al–4V alloys

Cited by 61 publications

References 25 publications

Crystal Plasticity Modeling and Experimental Validation with an Orientation Distribution Function for Ti-7Al Alloy

Crystal Plasticity Modeling and Experimental Validation with an Orientation Distribution Function for Ti-7Al Alloy

Crystal plasticity FE modeling of Ti alloys for a range of strain-rates. Part II: Image-based model with experimental validation

Multi-Scale Crystal Plasticity FEM Approach to Modeling Nickel-Based Superalloys

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