Computer implementations of iterative and non-iterative crystal plasticity solvers on high performance graphics hardware

Savage, Daniel J.; Knežević, Marko

doi:10.1007/s00466-015-1194-6

Cited by 43 publications

(10 citation statements)

References 87 publications

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“…(1)when using nonphysically low values ofnis a well-recognized problem.One approach, known as the spectral crystal plasticity can circumvents solving the power-law equation and instead evaluates the Fourier series summation of spectral coefficients and Fourier basis [58][59][60][61]. The method was found suitable for high-performance computational implementations of crystal plasticity [62,63].…”

Section: Rate-dependent Onset Of Slip Criterionmentioning

confidence: 99%

A numerical procedure enabling accurate descriptions of strain rate-sensitive flow of polycrystals within crystal visco-plasticity theory

Knežević

Zecevic

Beyerlein

et al. 2016

Computer Methods in Applied Mechanics and Engineering

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The plastic deformation of polycrystalline metals is carried by the motion of dislocations on specific crystallographic glide planes. According to the thermodynamics theory of slip, in the regime of strain rates, roughly from 10 -5 /s to 10 5 /s, dislocation motion is thermally activated. Dislocations must overcome barriers in order to move, and this concept defines critical activation stresses on a slip system s that evolve as a function of strain rate and temperature. The fundamental flow rule in crystal visco-plasticity theory that involves in order to activate slip has a power-law form:. This form is desirable because it provides uniqueness of solution for the active slip systems that accommodate an imposed strain rate; however, it also introduces astrain rate dependence, which in order to represent the actual behavior of polycrystalline materials deforming in relevant conditions of temperature and strainrate usually needs to be describedby a high value of the exponent n. However, since until now the highest value of n was limited by numerical tractability, the use of the power-law flow rule frequently introduced an artificially high rate-sensitivity.All prior efforts tocorrect thisextraneous rate sensitivity have only lessened its effect and unfortunatelyalso at the expense of substantial increases in computation time. To this day, a solutionfor the power-law exponent reflecting true material behavior is still sought. This article provides a novel method enablingthe use of realistic material strain rate-sensitivity exponents to be used within the crystal vico-plasticity theory without increasing computation time involved in polycrystal simulations. Calculations are performed for polycrystalline pure Cu and excellent agreement with experimental measurement is demonstrated.

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Section: Rate-dependent Onset Of Slip Criterionmentioning

confidence: 99%

A numerical procedure enabling accurate descriptions of strain rate-sensitive flow of polycrystals within crystal visco-plasticity theory

Knežević

Zecevic

Beyerlein

et al. 2016

Computer Methods in Applied Mechanics and Engineering

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“…Thus this computationally efficient tool leads to major savings of computational cost in FLD predictions. Interestingly, it has been demonstrated by (Knezevic and Savage, 2014;Mihaila et al, 2014;Savage and Knezevic, 2015) that there can be a further gain in the computational speed of SCP compared to CP, if the computations are performed on a specialized computer hardware that utilizes graphics-processing units (GPU). Thus, there is clear potential to further speed up the SCP-FLD tool presented here.…”

Section: Discussionmentioning

confidence: 99%

“…The viability and the computational benefits of using the DFT approach (for facilitating crystal plasticity solutions) have already been highlighted in prior work (cf. Knezevic et al, 2008Knezevic et al, , 2009Kalidindi et al, 2009;Alharbi et al, 2010;Knezevic and Savage, 2014;Mihaila et al, 2014;Savage and Knezevic, 2015;Alharbi and Kalidindi, 2015;Zecevic et al, 2015;Eghtesad et al, 2017;Knezevic and Kalidindi, 2017). In particular, the accuracy and computational savings of the DFT database approach compared to the conventional Taylor-type approach have been demonstrated by Knezevic et al (2009) and Alharbi and Kalidindi (2015) for both monotonic and non-monotonic strain paths.…”

Section: Introductionmentioning

confidence: 99%

Computationally efficient predictions of crystal plasticity based forming limit diagrams using a spectral database

Gupta

Bettaieb

Abed‐Meraim

et al. 2018

International Journal of Plasticity

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is an open access repository that collects the work of Arts et Métiers ParisTech researchers and makes it freely available over the web where possible.This is an author-deposited version published in: https://sam.ensam.eu Handle ID: .http://hdl.handle.net/10985/13136 To cite this version :Akash GUPTA, Mohamed BEN BETTAIEB, Farid ABED-MERAIM, Surya KALIDINDIComputationally efficient predictions of crystal plasticity based forming limit diagrams using a spectral database -International Journal of Plasticity -Vol. 103, p.168-187 -2018 Any correspondence concerning this service should be sent to the repository A B S T R A C TThe present investigation focuses on the development of a fast and robust numerical tool for the prediction of the forming limit diagrams (FLDs) for thin polycrystalline metal sheets using a Taylor-type (full constraints) crystal plasticity model. The incipience of localized necking is numerically determined by the well-known Marciniak-Kuczynski model. The crystal plasticity constitutive equations, on which these computations are based, are known to be highly nonlinear, thus involving computationally very expensive solutions. This presents a major impediment to the wider adoption of crystal plasticity theories in the computation of FLDs. In this work, this limitation is addressed by using a recently developed spectral database approach based on discrete Fourier transforms (DFTs). Significant improvements were made to the prior approach and a new database was created to address this challenge successfully. These extensions are detailed in the present paper. It is shown that the use of the database allows a significant reduction in the computational cost involved in crystal plasticity based FLD predictions (a reduction of about 96% in terms of CPU time).

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“…where is the slip rate on slip system s , is the plastic velocity gradient, is the identity matrix, and and are the slip direction and the slip plane normal of s, respectively, in the undeformed configuration denoted by 0. The is related to the resolved shear stress ( • ⨂ ⨂ ) and a characteristic shear stress (τ c s ) for slip system s, according to a power-law relationship [39][40][41]:…”

Section: Summary Of the Cpfe Constitutive Lawmentioning

confidence: 99%

The plasticity of highly oriented nano-layered Zr/Nb composites

et al. 2016

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In prior work, bulk lamellar composites of pure zirconium and niobium (Zr/Nb) were manufactured by accumulative roll bonding (ARB). After the substantial amounts of straining required to refine the layers to nanoscale dimensions, formation of highly oriented Zr crystals was observed. In this work, we employ a spatially resolved multiscale crystal plasticity based model in 3D to study the orientational stability of Zr single crystals and Zr/Nb bicrystals during rolling deformation. The analysis reveals that predominant texture components arise due to substantially reduced ratios of slip resistances among the prismatic, pyramidal I , and basal slip systems. In support, density functional theory (DFT) calculations of generalized stacking fault energy curves on these three slip systems suggest that the ratio of critical stresses to form these dislocations are within 2.5 times. This finding of reduced anisotropy in Zr at the nanoscale can provide insight into the design of nano-structuring processes for target textures, such as those containing highly oriented grains.

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Computer implementations of iterative and non-iterative crystal plasticity solvers on high performance graphics hardware

Cited by 43 publications

References 87 publications

A numerical procedure enabling accurate descriptions of strain rate-sensitive flow of polycrystals within crystal visco-plasticity theory

A numerical procedure enabling accurate descriptions of strain rate-sensitive flow of polycrystals within crystal visco-plasticity theory

Computationally efficient predictions of crystal plasticity based forming limit diagrams using a spectral database

The plasticity of highly oriented nano-layered Zr/Nb composites

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