Overview of constitutive laws, kinematics, homogenization and multiscale methods in crystal plasticity finite-element modeling: Theory, experiments, applications

Roters, Franz; Eisenlohr, Philip; Hantcherli, L.; Tjahjanto, D. D.; Bieler, T. R.; Raabe, Dierk

doi:10.1016/j.actamat.2009.10.058

Cited by 1,655 publications

(788 citation statements)

References 421 publications

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“…In parallel, polycrystal plasticity models have evolved from the classical Sachs [19] and Taylor/Bishop-Hill models [20,21] based primarily on the crystallographic orientation of the grains to increasingly complex models accounting for interactions between clusters of grains [22,23], interactions between a grain and a matrix representing the average of the other grains [24] and finite-element-based models accounting for the detailed interaction between neighbouring grains [25][26][27] as well af FFT-based methods [28]. The different behaviour of grains with initially similar orientations as well as the evolution of intragranular orientation differences during plastic deformation are currently key topics studied.…”

Section: Introductionmentioning

confidence: 99%

Deformation-induced orientation spread in individual bulk grains of an interstitial-free steel

et al. 2015

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Section: Introductionmentioning

confidence: 99%

Deformation-induced orientation spread in individual bulk grains of an interstitial-free steel

et al. 2015

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“…Choosing L p as initial step represents an advantage for the inversion of the Jacobi matrix during the Newton-Raphson algorithm, since the dimension of the Jacobi matrix is equal to the number of independent variables of the quantity that it is used as predictor, and these are its 9 components. However, when starting with L p , slip ratesγ α need to be calculated from the stress, which may generate important deviations as a consequence of the exponential nature of the shear rates [67,69].…”

Section: Dislocation Density Lawmentioning

confidence: 99%

Linking atomistic, kinetic Monte Carlo and crystal plasticity simulations of single‐crystal tungsten strength

et al. 2015

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Understanding and improving the mechanical properties of tungsten is a critical task for the materials fusion energy program. The plastic behavior in body‐centered cubic (bcc) metals like tungsten is governed primarily by screw dislocations on the atomic scale and by ensembles and interactions of dislocations at larger scales. Modeling this behavior requires the application of methods capable of resolving each relevant scale. At the small scale, atomistic methods are used to study single dislocation properties, while at the coarse‐scale, continuum models are used to cover the interactions between dislocations. In this work we present a multiscale model that comprises atomistic, kinetic Monte Carlo (kMC) and continuum‐level crystal plasticity (CP) calculations. The function relating dislocation velocity to applied stress and temperature is obtained from the kMC model and it is used as the main source of constitutive information into a dislocation‐based CP framework. The complete model is used to perform material point simulations of single‐crystal tungsten strength. We explore the entire crystallographic orientation space of the standard triangle. Non‐Schmid effects are inlcuded in the model by considering the twinning‐antitwinning (T/AT) asymmetry in the kMC calculations. We consider the importance of 〈111〉{110} and 〈111〉{112} slip systems in the homologous temperature range from 0.08Tm to 0.33Tm, where Tm =3680 K is the melting point in tungsten. (© 2015 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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“…They can be modelled with the use of crystal plasticity approach [49][50][51], enhanced to include the size effects.…”

Section: Multi-element Composite Models and Homogenizationmentioning

confidence: 99%

Micromechanical modelling of nanocrystalline and ultrafine grained metals: A short overview

Mishnaevsky

Левашов

2015

Computational Materials Science

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Abstract:An overview of micromechanical models of strength and deformation behaviour of nanostructured and ultrafine grained metallic materials is presented. Composite models of nanomaterials, polycrystal plasticity based models, grain boundary sliding, the effect of nonequilibrium grain boundaries and nanoscale properties are discussed and compared. The examples of incorporation of peculiar nanocrystalline effects (like large content of amorphous or semi-amorphous grain boundary phase, partial dislocation GB emission/glide/GB absorption based deformation mechanism, diffusion deformation, etc.) into continuum mechanical approach are given. The possibilities of using micromechanical models to explore the ways of the improving the properties of nanocrystalline materials by modifying their structures (e.g., dispersion strengthening, creating non-equilibrium grain boundaries, varying the grain size distributions and gradients) are discussed.Keywords: Micromechanics; Finite element modelling; Nanomaterials; Nanocrystalline materials IntroductionDuring recent decades, growing interest of scientific community has been attracted to the nanostructured materials. The expectations on nanostructuring as a way to enhance material performances and to improve competing materials properties are very high, and some of them have been delivered, indeed.The extraordinary properties of nanocrystalline and ultrafine grained metallic materials (i.e., materials with the grain sizes of the order of several to several hundred nanometers) include superductility at room temperature, high hardness and high strength 2 to hardness value (which might be 2…7 times higher than in coarse grained materials), lower elastic modulus, negative Hall-Petch slope, enhanced strain rate sensitivity and difference between tensile and compression response [1][2][3][4][5]. The yield strength of nanocrystalline materials can be up to 5…10 times higher than of coarse-grained materials [6]. Other peculiar effect of nanocrystalline materials are the deviation fromHall-Petch relation at ultrafine and nanoscale grain sizes (below 100 nm), which goes into negative Hall Petch slope at about 10 nm, as well as asymmetry of tensile and compressive behaviour and enhanced diffusion properties [7].In order to predict the service properties of the materials and to explore the potential and reserves of their improvement, computational models linking the macroscale (service) In this paper, we present an overview of micromechanical models of nanocrystalline and ultrafine grained materials, their mechanical behaviour, deformation and strength.Composite models, crystal plasticity based models, grain boundary sliding, the effect of non-equilibrium grain boundaries, etc. are reviewed. The main constraints and challenges in the considered models are discussed. Composite models of nanocrystalline metallic materialsThe main structural feature of nanocrystalline and ultrafine grained materials, apart from the small grain sizes, is the high relative volume of grain boundary surface pha...

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Overview of constitutive laws, kinematics, homogenization and multiscale methods in crystal plasticity finite-element modeling: Theory, experiments, applications

Cited by 1,655 publications

References 421 publications

Deformation-induced orientation spread in individual bulk grains of an interstitial-free steel

Deformation-induced orientation spread in individual bulk grains of an interstitial-free steel

Linking atomistic, kinetic Monte Carlo and crystal plasticity simulations of single‐crystal tungsten strength

Micromechanical modelling of nanocrystalline and ultrafine grained metals: A short overview

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