A multiscale approach for modeling scale-dependent yield stress in polycrystalline metals

Ohashi, Tetsuya; Kawamukai, Masato; Zbib, Hussein M.

doi:10.1016/j.ijplas.2006.10.002

Cited by 171 publications

(77 citation statements)

References 25 publications

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“…We define the CRSS by the extended expression of Bailey-Hirsch type model, 19) θ θ µ ρ β µ First, second and third term represent the lattice friction stress, Taylor's hardening and Orowan stress, respectively. The third term is introduced in the equation to express scale effect of microstructure; when dislocation loops or curved segments expand inside a space of length scale d, necessary minimum stress is given by this term.…”

Section: Dislocation Density Based Constitutive Equationsmentioning

confidence: 99%

“…The third term is introduced in the equation to express scale effect of microstructure; when dislocation loops or curved segments expand inside a space of length scale d, necessary minimum stress is given by this term. Details of this effect were discussed elsewhere for single phase material 19) and applied also to two-phase microstructure. 20) In this paper, the length scale d is assumed to be equal to lamellar thickness 1,2) when we evaluate the CRSS of the ferrite layer.…”

Section: Dislocation Density Based Constitutive Equationsmentioning

confidence: 99%

“…It was used to clarify scale dependent mechanical properties of single-phase polycrystalline model 19) and two-phase material model with precipitate. 20) In this paper, we examine mechanical properties of simplified models of the pearlite steel wire by the crystal plasticity analysis.…”

Section: Introductionmentioning

confidence: 99%

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Crystal Plasticity Analyses of Scale Dependent Mechanical Properties of Ferrite/Cementite Lamellar Structure Model in Pearlite Steel Wire with Bagaryatsky or Pitsch-Petch Orientation Relationship

Yasuda

Ohashi

2016

ISIJ Int.

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Mechanical properties of simplified model of ferrite/cementite lamellar structure in pearlite steel wire are examined by a strain gradient crystal plasticity analysis. Bagaryatsky and Pitsch-Petch relationships are used to determine crystallographic orientations of ferrite and cementite phases. Obtained results show that yield stress and strain hardening rate increase with reduction of lamellar thickness of ferrite layer and this increase is larger in the model with Bagaryatsky relationship than that with Pitsch-Petch one. Detailed mechanism that leads to this significant change in macroscopic mechanical response is discussed from the view point of dislocations' behavior. Strain incompatibility effect between phases on the mechanical response is shown to be relatively small.

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Section: Dislocation Density Based Constitutive Equationsmentioning

confidence: 99%

Section: Dislocation Density Based Constitutive Equationsmentioning

confidence: 99%

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Crystal Plasticity Analyses of Scale Dependent Mechanical Properties of Ferrite/Cementite Lamellar Structure Model in Pearlite Steel Wire with Bagaryatsky or Pitsch-Petch Orientation Relationship

Yasuda

Ohashi

2016

ISIJ Int.

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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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“…Of particular importance is the study of the local material response at the mesoscale level where stresses and strains are distributed very inhomogeneously. This is stress/strain heterogeneity is caused by a large number of interface/grain boundaries as well as by specific heterogeneous nucleation and storage of deformation defects [2][3][4][5][6][7][8]. Structural heterogeneities serve as preferred sites for plastic flow initiation, generation of lattice and boundary defects and discontinuities of various types [9][10][11].…”

Section: Introductionmentioning

confidence: 99%

Effect of Structural Heterogeneity of 17Mn1Si Steel on the Temperature Dependence of Impact Deformation and Fracture

Моисеенко

Maruschak

Panin

et al. 2017

Metals

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Abstract:The paper deals with a theoretical and experimental study of the relationship between the microstructural parameters, mechanical properties, and impact deformation and fracture of steels using the example of 17Mn1Si pipe steel. A model for the behavior of a polycrystalline grain conglomerate under impact loading at different temperatures was proposed within a cellular automata framework. It was shown that the intensity of dissipation processes explicitly depends on temperature and these processes play an important role in stress relaxation at the boundaries of structural elements. The Experimental study reveals the relationship between pendulum impact test temperature and the deformation/fracture energy of the steel. The impact toughness was shown to decrease almost linearly with the decreasing test temperature, which agrees with the fractographic analysis data confirming the increase in the fraction of brittle fracture in this case. It was shown with the aid of the proposed model and numerical simulations that the use of the excitable cellular automata method and an explicit account of test temperature through the possibility of energy release at internal interfaces help to explain the experimentally observed features of impact failure at different temperatures.

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A multiscale approach for modeling scale-dependent yield stress in polycrystalline metals

Cited by 171 publications

References 25 publications

Crystal Plasticity Analyses of Scale Dependent Mechanical Properties of Ferrite/Cementite Lamellar Structure Model in Pearlite Steel Wire with Bagaryatsky or Pitsch-Petch Orientation Relationship

Crystal Plasticity Analyses of Scale Dependent Mechanical Properties of Ferrite/Cementite Lamellar Structure Model in Pearlite Steel Wire with Bagaryatsky or Pitsch-Petch Orientation Relationship

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

Effect of Structural Heterogeneity of 17Mn1Si Steel on the Temperature Dependence of Impact Deformation and Fracture

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