Simulation of polycrystal deformation with grain and grain boundary effects

Lim, Hojun; Lee, M.G.; Kim, J.H.; Adams, Brent L.; Wagoner, R. H.

doi:10.1016/j.ijplas.2011.03.001

Cited by 160 publications

(74 citation statements)

References 107 publications

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“…Care was taken to use the proper microstructural properties, sizes and proportions in the RVE. Figure 9 shows the compares the measured tangential slope change to simulations using three constitutive models: a standard Continuum elastic-plastic model, a standard Crystal Plasticity (CP) model, and CP model with dislocation elastic interactions [22][23][24]. The results suggest that the dislocation pile-up and relaxation mechanism dominates the nonlinear transition behavior.…”

Section: Discussionmentioning

confidence: 99%

Elastic-plastic transition: A universal law

Chen

Bong

et al. 2016

MATEC Web Conf.

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Abstract.Although the initial stress-strain behavior in a tensile test is often characterized as linear elastic up to a yield stress and nonlinear plastic thereafter, the pre-yield transition region is known to exhibit significant curvature and hysteresis. Hundreds of high-precision loading-unloading-loading tensile tests were performed using 26 commercial sheet alloys exhibiting a wide range of strength, ductility and crystal structure. Analysis of the results reveals the following:1. There is no significant linear elastic region; the proportional limit is ~0 MPa when measured with sufficient sensitivity. 2. Each of the hundreds of measured transitional stress-strain curves can be characterized by a single parameter, here called the "modulus reduction rate." The corresponding equation captures ~80% of the observed variation, a factor of 3 to 6 better than a one-parameter linear approximation. 3. Most interestingly, the transitional behavior for all alloys follows a "Universal Law" requiring no fit parameters. The law depends only upon the strength of the material and its Young's modulus, both of which are can be measured by independent tests or adopted from handbooks. The Universal Law captures ~90% of the variation represented by the one-parameter representation and eliminates the need for mechanical testing to implement and apply. The practical and theoretical implications of these results are discussed. The results provide a simple path to significantl y improving applied constitutive models in the transitional regime. The consistency of the effect for such a wide range of metals and suggests that the origin of the behavior lies in the pile-up and relaxation of dislocation arrays.

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Section: Discussionmentioning

confidence: 99%

Elastic-plastic transition: A universal law

Chen

Bong

et al. 2016

MATEC Web Conf.

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“…(7). A commercial strip of 22MnVNb6 microalloyed low carbon cast steel 30.00 mm long, with a rectangular cross section, 20.00 mm wide by 5.00 mm thick was applied on the tests [28][29][30][31]. The research material having chemical composition showed in Table 1.…”

Section: Methodsmentioning

confidence: 99%

Estimation of Ferrite Grain Size and Mechanical Properties of a 22MnVNb6 Microalloyed Low Carbon Cast Steel

Pluphrach

Yamsai

2017

Period. Polytech. Mech. Eng.

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“…The misorientation of nanograins and the availability of high/low angle grain boundaries have a strong effect on the material properties, and can be studied with the use of the crystal plasticity (CP) approach. The scale dependent versions of polycrystals plasticity models, which can be generalized to the nanomaterials, have been realized by incorporating dislocation-density-based constitutive equations [52,53] and the strain gradient crystal plasticity (SGCP) model in the continuum crystal plasticity approach [52][53][54][55][56][57][58][59].…”

Section: Dislocation Mechanisms Of Deformation and Polycrystal Plastimentioning

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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Simulation of polycrystal deformation with grain and grain boundary effects

Cited by 160 publications

References 107 publications

Elastic-plastic transition: A universal law

Elastic-plastic transition: A universal law

Estimation of Ferrite Grain Size and Mechanical Properties of a 22MnVNb6 Microalloyed Low Carbon Cast Steel

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

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