Modeling void growth in polycrystalline materials

This paper reviews the current state-of-the-art in the simulation of the mechanical behavior of polycrystalline materials by means of computational homogenization. The key ingredients of this modelling strategy are presented in detail starting with the parameters needed to describe polycrystalline microstructures and the digital representation of such microstructures in a suitable format to perform computational homogenization. The different crystal plasticity frameworks that can describe the physical mechanisms of deformation in single crystals (dislocation slip and twinning) at the microscopic level are presented next. This is followed by the description of computational homogenization methods based on mean-field approximations by means of the viscoplastic self-consistent approach, or on the full-field simulation of the mechanical response of a representative polycrystalline volume element by means of the finite element method or the fast Fourier transform-based method. Multiscale frameworks based on the combination of mean-field homogenization and the finite element method are presented next to model the plastic deformation of polycrystalline specimens of arbitrary geometry under complex mechanical loading. Examples of application to predict the strength, fatigue life, damage, and texture evolution under different conditions are presented to illustrate the capabilities of the different models. Finally, current challenges and future research directions in this field are summarized.

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“…Simulations were carried out using full-field homogenization with FFT. Reprinted from Lebensohn et al (2013).…”

Section: Void Growth In Polycrystalsmentioning

confidence: 99%

Computational Homogenization of Polycrystals

Segurado

Lebensohn

LLorca

2018

Advances in Applied Mechanics

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111

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“…FFT based homogenization has become very popular due to its excellent numerical performance (the algorithm scales by n log n) that allows the use of very detailed RVEs with a reduction in computational cost compared to FE, being able to speed up simulations by orders of magnitude [17]. For this reason, since its introduction, the framework has been successfully applied for homogenizing the mechanical response of composites [18,19], voided materials [20,21] and polycrystalline metals [22,23,17] under monotonic loading.…”

Section: Introductionmentioning

confidence: 99%

On the accuracy of spectral solvers for micromechanics based fatigue modeling

Lucarini

Segurado

2018

Comput Mech

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A framework based on FFT is proposed for micromechanical fatigue modeling of polycrystals as alternative to the Finite Element method (FEM). The variational FFT approach [1, 2] is used with a crystal plasticity model for the cyclic behavior of the grains introduced through a FEM material subroutine, in particular an Abaqus umat. The framework also includes an alternative projection operator based on discrete differentiation to improve the microfield fidelity allowing to include second phases.

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“…Similar work by Tekoglu studied the effect of stress triaxiality on the deformation behavior of the unit cell, but he additionally investigated the effect of shear ratio [17]. Lebensohn et al proposed a new modeling approach with FFT (Fast Fourier Transformation)-based crystal plasticity to investigate the growth of multiple voids in the face centered cubic (fcc) polycrystals [18]. The hardening model used for crystal plasticity was usually a power-law type, but detailed study on the effect of stage III and IV strain hardening on the void growth and coalescence was provided by Lecarme et al, where they found that the stage IV hardening had significant influence in delaying fracture [19].…”

Section: Introductionmentioning

confidence: 99%

“…However, even with this limitation, the current work is still meaningful considering recent advances in the computational approach based on crystal plasticity, which accurately predicts the anisotropic deformation response of cubic crystals under complex loading conditions [7,[13][14][15][16][17][18][19].…”

mentioning

confidence: 99%

Grain Scale Representative Volume Element Simulation to Investigate the Effect of Crystal Orientation on Void Growth in Single and Multi-Crystals

Jeong¹,

Lee

Moon

et al. 2018

Metals

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Abstract:Crystal plasticity finite element (CPFE) simulations were performed on the representative volume elements (RVE) modeling body centered cubic (bcc) single, bi-and tri-crystals. The RVE model was designed to include a void inside a grain, at a grain boundary and at a triple junction. The effect of single crystal orientation on the flow strength and growth rate of the void was discussed under prescribed boundary conditions for constant stress triaxialities. CPFE analyses could explain the effect of inter-grain orientations on the anisotropic growth of the void located at the grain boundaries. The results showed that the rate of void growth had preferred orientation in a single crystal, but the rate could be significantly different when other orientations of neighboring crystals were considered.

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Modeling void growth in polycrystalline materials

Cited by 92 publications

References 53 publications

Computational Homogenization of Polycrystals

Computational Homogenization of Polycrystals

On the accuracy of spectral solvers for micromechanics based fatigue modeling

Grain Scale Representative Volume Element Simulation to Investigate the Effect of Crystal Orientation on Void Growth in Single and Multi-Crystals

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