Micromechanical behavior of eutectoid steel quantified by an analytical model calibrated by in situ synchrotron-based X-ray diffraction

Zheng, Chengsi; Li, Longfei; Wang, Yandong; Wangyue, Yang; Sun, Zhihui

doi:10.1016/j.msea.2015.02.003

Cited by 17 publications

(16 citation statements)

References 37 publications

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“…When the size of second phase particles decreases, the Orowan strengthening will be enhanced because of a smaller geometric slip distance between smaller particles . And from the research of Zheng et al, cementite particles play such a role by accumulating high density GNDs in the interface and hardening the ferrite matrix around cementite (i.e., the GND layer in our RVE). In the current model, RVE with smaller particles were given a higher value of k 3 in the GND layer to reflect higher dislocation storage ability.…”

Section: Resultsmentioning

confidence: 76%

“…k 4 is the dynamic recovery rate. Here, according to the research of Zheng et al, k 4 = M k 2 , which assumes the recovery rate of dislocation of GND is identical to that of SSD. Then after the integration from Equation , the dislocation density evolution of GND is expressed as Equation .…”

Section: Rve Modelingmentioning

confidence: 99%

“…

σ = σ_{0} + a M μ b \sqrt{ρ + ρ_{GND}}

Then by combining Equation , 8, and 9, the strain hardening relationship in GND zone can be written as Equation .

σ = σ_{0} + a M μ b \sqrt{true(\frac{1}{b L k_{2}} + \frac{k_{3}}{M k_{2}} true) [1 - \exp (- k_{2} M ϵ)]}

According to the experimental results and related simulation, the yield strength of cementite could reach a value of 3000 MPa. The spheroidized cementite is generally without plastic deformation under the normal tensile test even at the fracture moment.…”

Section: Rve Modelingmentioning

confidence: 99%

“…For the ferrite (α) matrix and globular cementite (θ) particles, a high density of “geometrically necessary dislocation” (GND) will arise at α–θ boundaries due to plastic strain incompatibility . From the research of Zheng et al, the dislocation accumulation at the α–θ interface during plastic deformation forms a “hard shell” around the cementite particle and cause stress gradient between particle and matrix. Taupin et al treated this GND accumulation zone as an intermediate “layer” and proposed a micromechanical Internal Length Mean Field (ILMF) model to predict the flow behavior and analyzed the effects of GND thickness, particle fraction, and particle size.…”

Section: Introductionmentioning

confidence: 99%

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Effect of Particle Size and Carbide Band on the Flow Behavior of Ferrite-Cementite Steel

Zhuang

Zhao

2016

steel research int.

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A microstructure-based representative volume element (RVE) method is employed for simulating the mechanical properties of the alloy steel 42CrMo4, a typical ferrite-cementite steel with ferrite (a) and spheroid cementite (u) phases. A series of 2D RVEs with ferrite matrix and globular cementite particles are generated according to various microstructures, among which the geometrically necessary dislocation (GND) accumulation at the a-u interphase is introduced as a coating layer around the cementite particles. Satisfactory agreement between the simulation and experimental flow curves can be obtained when the ratio of GND layer thickness to particle diameter is 0.25. On this basis, the influences of some modeling parameters such as element type and boundary conditions, as well as some microstructure features like particle size and carbide band, on the mechanical properties are investigated. The results show that small particle size can increase the strength of the material. Carbide band leads to the microstructure inhomogeneity and early finish of uniform elongation, which is potential to cause the loss of ductility and premature failure. These adverse effects become more severe when more cementite particles remain in band or the cementite particles gather denser in carbide band.

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Section: Resultsmentioning

confidence: 76%

Section: Rve Modelingmentioning

confidence: 99%

“…

σ = σ_{0} + a M μ b \sqrt{ρ + ρ_{GND}}

Then by combining Equation , 8, and 9, the strain hardening relationship in GND zone can be written as Equation .

σ = σ_{0} + a M μ b \sqrt{true(\frac{1}{b L k_{2}} + \frac{k_{3}}{M k_{2}} true) [1 - \exp (- k_{2} M ϵ)]}

Section: Rve Modelingmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Effect of Particle Size and Carbide Band on the Flow Behavior of Ferrite-Cementite Steel

Zhuang

Zhao

2016

steel research int.

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show abstract

“…Due to the plastic strain incompatibility, 9 the geometric dislocation density at the ferrite-cementite boundaries increases sharply. According to Zheng's 10 studies, during plastic deformation, the accumulation of these dislocations forms a hard coating around the cementite particles. This hard coating creates a stress gradient between the ferrite matrix and the cementite particles.…”

Section: Introductionmentioning

confidence: 99%

A micro mechanical study on tensile behavior of steel sheets with spheroidal cementite using crystal plasticity finite element method

Einolghozati

Assempour

2022

Proceedings of the Institution of Mechanical Engineers, Part L:

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In this research, we investigate the effects of various microstructural features on the behavior of spherical steel sheets, using the crystal plasticity finite element method. The cementite phase ratio, the grain sizes of ferrite and cementite, and the percentage of residual pearlite in the steel structure due to incomplete annealing are the major microstructural parameters studied in this work. A grain generator software has been developed to generate hexagonal ferrite grains as well as circular cementite particles distributed in the ferrite matrix. We use a hard coating with special properties as an intermediate layer around the cementite grains to simulate the contact between ferrite grains and cementite particles. This software can also assist with the preprocessing including boundary condition and load producing and introducing constitutive modeling relations. We use representative volume elements (RVEs) to simulate the microstructure of the steel sheet. The hardening parameters in the simulations are calibrated according to the available experimental data in the literature. Several RVEs were prepared and solved to investigate the effect of the thickness of this layer on material behavior. We can replicate the experimental results by setting the ratio of this thickness to the cementite particles’ diameter to be 0.25. Moreover, by reducing the size of ferrite grains and cementite particles, the strength of steel increases. On the other hand, increasing the ratio of the cementite phase increases the strength of steel but the uniform plastic deformation of the material is reduced. We also model and discuss the remaining pearlite content and its effect on the flow behavior of the material. Finally, the effect of the cementite precipitation location and its bimodal size distribution were discussed in this study.

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Effect of Annealing Time on Microstructure Stability and Mechanical Behavior of Ferrite-Cementite Steel with Multiscale Lamellar Structure

Zhang

Cao

et al. 2021

Metall Mater Trans B

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Micromechanical behavior of eutectoid steel quantified by an analytical model calibrated by in situ synchrotron-based X-ray diffraction

Cited by 17 publications

References 37 publications

Effect of Particle Size and Carbide Band on the Flow Behavior of Ferrite-Cementite Steel

Effect of Particle Size and Carbide Band on the Flow Behavior of Ferrite-Cementite Steel

A micro mechanical study on tensile behavior of steel sheets with spheroidal cementite using crystal plasticity finite element method

Effect of Annealing Time on Microstructure Stability and Mechanical Behavior of Ferrite-Cementite Steel with Multiscale Lamellar Structure

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