A crystal plasticity FFT based study of deformation twinning, anisotropy and micromechanics in HCP materials: Application to AZ31 alloy

Paramatmuni, Chaitanya; Kanjarla, Anand K.

doi:10.1016/j.ijplas.2018.10.007

Cited by 41 publications

(13 citation statements)

References 64 publications

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“…[ Liu et al (2017), Paramatmuni and Kanjarla (2019)]). However, in contrast, nucleation of twins with negative Schmid factors at lower strains that are insensitive to grain orientations have also been observed [Livescu et al (2019)].…”

Section: Discussionmentioning

confidence: 99%

Twin nucleation and variant selection in Mg alloys: An integrated crystal plasticity modelling and experimental approach

Paramatmuni

Zheng

Rainforth

et al. 2020

International Journal of Plasticity

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Extension twin nucleation and variant selection in magnesium alloy WE43 is investigated in experimentally characterised and deformed microstructures replicated in crystal plasticity models. Stored (dislocation) energy density is found to identify the experimentally observed locations of twins which are not otherwise explained by global Schmid factors or local resolved shear stress criteria. A critical stored energy of 0.015 Jm -2 was determined below which twin nucleation does not occur. The stored energy density explains the locations of the observed twins and the absence of twins in parent grains anticipated to be favourable for twin nucleation.Twin variant selection has been shown to be driven by minimising locally stored shear energy density, while the geometric compatibility and strain compatibility factors only aid in partial prediction. All experimentally observed variants were correctly determined.

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Section: Discussionmentioning

confidence: 99%

Twin nucleation and variant selection in Mg alloys: An integrated crystal plasticity modelling and experimental approach

Paramatmuni

Zheng

Rainforth

et al. 2020

International Journal of Plasticity

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“…The different constitutive regimes solved with FFT-based methods include: linear elasticity (Lebensohn, 2001;Brenner et al, 2009); linear viscosity (Lebensohn et al, 2005); linear elasticity with eigenstrains or thermoelasticity (Vinogradov and Milton, 2008;Anglin et al, 2014;Donegan and Rollett, 2015;Eloh et al, 2019); rigid-viscoplasticity (Lebensohn, 2001;Lebensohn et al, 2008Lebensohn et al, , 2009Lee et al, 2011;Rollett et al, 2010); small-strain crystal plasticity elasto-viscoplasticity, i.e. CP-EVPFFT (Lebensohn et al, 2012;Grennerat et al, 2012;Suquet et al, 2012); large-strain elasto-viscoplasticity (Eisenlohr et al, 2013;Shanthraj et al, 2015;Kabel et al, 2016;Vidyasagar et al, 2018;Lucarini and Segurado, 2019); dilatational plasticity ; lower-order (Haouala et al, 2020) and higher-order (Lebensohn and Needleman, 2016) straingradient crystal plasticity; curvature-driven plasticity (Upadhyay et al, 2016); transformation plasticity (Richards et al, 2013;Otsuka et al, 2018); twinning (Mareau and Daymond, 2016;Paramatmuni and Kanjarla, 2019), fatigue (Rovinelli et al, 2017(Rovinelli et al, , 2018Lucarini and Segurado, 2019); and quasi-brittle damage (Li et al, 2012;Sharma et al, 2012). FFT-based methods were also applied to field dislocation mechanics (FDM) and field disclination mechanics (Brenner et al, 2014;Berbenni et al, 2014;…”

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confidence: 99%

A fast Fourier transform-based mesoscale field dislocation mechanics study of grain size effects and reversible plasticity in polycrystals

Berbenni

Taupin

Lebensohn

2020

Journal of the Mechanics and Physics of Solids

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To cite this version:Stéphane Berbenni, Vincent Taupin, Ricardo Lebensohn. A fast Fourier transform-based mesoscale field dislocation mechanics study of grain size effects and reversible plasticity in polycrystals. AbstractA numerical implementation of a non-local polycrystal plasticity theory based on a mesoscale version of the field dislocation mechanics theory (MFDM) of Acharya and Roy (2006) is presented using small-strain elasto-viscoplastic fast Fourier transformbased (EVPFFT) algorithm developed by Lebensohn et al. (2012). In addition to considering plastic flow and hardening only due to SSDs (statistically stored dislocations) as in the classic EVPFFT framework, the proposed method accounts for the evolution of GND (geometrically necessary dislocations) densities solving a hyperbolic-type partial differential equation, and GND effects on both plastic flow and hardening. This allows consideration of an enhanced strain-hardening law that includes the effect of the GND density tensor. The numerical implementation of a reduced version of the MFDM is presented in the framework of the FFT-based augmented Lagrangian procedure of Michel et al. (2001). A Finite Differences scheme combined with discrete Fourier transforms is applied to solve both incompatibility and equilibrium equations. The numerical procedure named MFDM-EVPFFT is used to perform full field simulations of polycrystal plasticity considering different grain sizes and their mechanical responses during monotonic tensile and reversible tension-compression tests. Using Voronoi tessellation and periodic boundary conditions, voxelized representative volume elements (RVEs) with different grain sizes are generated. With MFDM-EVPFFT, a Hall-Petch type scaling law is obtained in contrast with the conventional crystal plasticity EVPFFT. In the case of reversible plasticity, a stronger Bauschinger effect is observed with the MFDM-EVPFFT approach in comparison with conventional EVPFFT. The origin of these differences is analyzed in terms of heterogeneity, GND density and stress evolutions during the compression stage.

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“…1123 slip (pyramidal < c + a > − 1 slip) systems were considered in our study. [13][14][15][16][17][18] The selection of slip systems is also similar in recent literature, [32][33][34][35][36] although sometimes the pyramidal { } 1101 ! 1 120 slip systems are considered in addition to the aforementioned combination.…”

Section: Selection Of Slip and Twinning Systemsmentioning

confidence: 99%

“…48,49) Therefore, both twinning systems tend to be considered in recent literatures. [32][33][34][35][36] We focused our attention mainly on the deformation behavior within the uniform elongation range; thus, only { } 10 12 tensile twinning was considered. [13][14][15][16][17][18] In contrast, although activities of several types of twinning systems have been reported in CP-Ti, { } 10 12 tensile twinning and { } 1122 compressive twinning are more active and could affect plastic deformation behavior even at small strains.…”

Section: Selection Of Slip and Twinning Systemsmentioning

confidence: 99%

Crystal Plasticity Modeling for Non-ferrous Metals and its Engineering Applications

Hama

2020

ISIJ Int.

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Crystal plasticity models enable predictions of macroscopic deformation behavior as well as texture evolution of metallic materials based on mesoscopic deformation at the grain level. Owing to recent improvements in predictive accuracy, crystal plasticity models are expected to be used not only for academic purposes but also for industrial applications. There are several possible approaches for utilizing crystal plasticity models in industrial applications, including numerical material testing, in which the material parameters of phenomenological constitutive models are determined; alternative constitutive equations in simulations; and the development of innovative materials with improved formability. In this review paper, recent progress in crystal plasticity modeling, specifically in terms of engineering applications, is discussed. The focus is primarily on hexagonal close-packed (hcp) metals, including magnesium alloy and commercially pure titanium sheets, which exhibit strong anisotropic and asymmetric deformation behavior. On the basis of our recent progresses, the crystal plasticity modeling was first explained, followed by some application examples for a variety of loading conditions, including uniaxial tension and compression, reverse loading, and biaxial tension. The application to face-centered cubic (fcc) and body-centered cubic (bcc) metals and future prospects are also discussed.

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A crystal plasticity FFT based study of deformation twinning, anisotropy and micromechanics in HCP materials: Application to AZ31 alloy

Cited by 41 publications

References 64 publications

Twin nucleation and variant selection in Mg alloys: An integrated crystal plasticity modelling and experimental approach

Twin nucleation and variant selection in Mg alloys: An integrated crystal plasticity modelling and experimental approach

A fast Fourier transform-based mesoscale field dislocation mechanics study of grain size effects and reversible plasticity in polycrystals

Crystal Plasticity Modeling for Non-ferrous Metals and its Engineering Applications

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