Heterogeneous Deformation in a Commercially Pure Titanium Sheet under Dwell Fatigue Loading: Crystal Plasticity Modeling and Experiment

Yin, Liangwei; Umezawa, Osamu

doi:10.2355/isijinternational.isijint-2020-702

Cited by 5 publications

(3 citation statements)

References 44 publications

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“…The isotropic hardening/softening is described by the evolution of CRSS following Voce type function 40,41 :

{\overset{τ}{true}}_{c}^{α} goodbreak= \sum_{β} h_{αβ} (||, {\overset{γ}{true}}^{β}), h_{αβ} goodbreak= h ((), γ) ([], q goodbreak+ ((), 1 goodbreak- q) δ_{αβ})

h ((), γ) goodbreak= h_{0} ((), 1 goodbreak- \frac{τ_{0}}{τ_{s}}) \exp ((), goodbreak- \frac{h_{0} γ}{τ_{s}}), γ goodbreak= \sum_{α = 1}^{N} \int_{0}^{t} (||, {\overset{γ}{true}}^{α}) italicdt

τ_{c} goodbreak= τ_{s} goodbreak+ ((), τ_{0} goodbreak- τ_{s}) \exp ((), goodbreak- \frac{h_{0} γ}{τ_{s}})

where

δ_{αβ}

h_{αα}

, and

h_{αβ}

are Kronecker delta, self, and latent hardening modulus;

γ

is the sum of the accumulated plastic slips on all slip systems; and

q

is the ratio of latent hardening moduli to self‐hardening moduli and set to 1 in the current study.

h_{0}

τ_{0}

, and

τ_{s}

are the initial hardening moduli, the initial, and saturated value of CRSS.…”

Section: Cpfe Simulationmentioning

confidence: 99%

See 1 more Smart Citation

Strain localization and crack initiation behavior of a PM Ni‐based superalloy: SEM‐DIC characterization and crystal plasticity simulation

Jiang

Zhang

et al. 2022

Fatigue Fract Eng Mat Struct

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The strain localization and crack initiation behavior of a powder metallurgy (PM) nickel‐based superalloy FGH4098 under low cycle fatigue (LCF) loads at room temperature is investigated by combining scanning electron microscope (SEM)‐digital image correlation (DIC) characterization with crystal plasticity simulation. The elastic anisotropy near annealing twin boundaries contributes to strain localization and results in high propensity of LCF failure. The effect of local microstructure on the fatigue crack initiation at {111} slip bands and tortuous crack propagation is revealed. Meanwhile, local crystal plasticity finite element cyclic deformation simulation is carried out based on explicit microstructure reconstructed from electron backscatter diffraction (EBSD) characterization. Four metrics of accumulated shear strain, effective plastic strain, shear strain energy dissipation density, and Fatemi–Socie parameter are selected as fatigue indicator parameters to predict crack initiation site. Fatemi–Socie parameter is proved to be a promising metric for crack initiation prediction.

show abstract

“…The isotropic hardening/softening is described by the evolution of CRSS following Voce type function 40,41 :

{\overset{τ}{true}}_{c}^{α} goodbreak= \sum_{β} h_{αβ} (||, {\overset{γ}{true}}^{β}), h_{αβ} goodbreak= h ((), γ) ([], q goodbreak+ ((), 1 goodbreak- q) δ_{αβ})

h ((), γ) goodbreak= h_{0} ((), 1 goodbreak- \frac{τ_{0}}{τ_{s}}) \exp ((), goodbreak- \frac{h_{0} γ}{τ_{s}}), γ goodbreak= \sum_{α = 1}^{N} \int_{0}^{t} (||, {\overset{γ}{true}}^{α}) italicdt

τ_{c} goodbreak= τ_{s} goodbreak+ ((), τ_{0} goodbreak- τ_{s}) \exp ((), goodbreak- \frac{h_{0} γ}{τ_{s}})

where

δ_{αβ}

h_{αα}

, and

h_{αβ}

are Kronecker delta, self, and latent hardening modulus;

γ

is the sum of the accumulated plastic slips on all slip systems; and

q

is the ratio of latent hardening moduli to self‐hardening moduli and set to 1 in the current study.

h_{0}

τ_{0}

, and

τ_{s}

are the initial hardening moduli, the initial, and saturated value of CRSS.…”

Section: Cpfe Simulationmentioning

confidence: 99%

“…where τ is the Kirchhoff stress and can be calculated by the Cauchy stress σ. s Ãα and m Ãα are the direction of slip and normal to the slip plane on the slip system α in the deformed lattice. The isotropic hardening/softening is described by the evolution of CRSS following Voce type function 40,41 :…”

Section: Constitutive Modelmentioning

confidence: 99%

Strain localization and crack initiation behavior of a PM Ni‐based superalloy: SEM‐DIC characterization and crystal plasticity simulation

Jiang

Zhang

et al. 2022

Fatigue Fract Eng Mat Struct

View full text Add to dashboard Cite

show abstract

“…The isotropic hardening/softening is described via the evolution of CRSS following Voce type function [38,39]:…”

Section: Kinematics and Kineticsmentioning

confidence: 99%

Effects of temperature and microstructure on low cycle fatigue behaviour of a PM Ni-based superalloy: EBSD assessment and crystal plasticity simulation

Zhang

Jiang

Zhao

et al. 2022

International Journal of Fatigue

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Influence of dispersed β phase on local deformation pattern in mill-annealed Ti-Fe-O alloy under dwell fatigue loading

Yin

Umezawa

2021

International Journal of Fatigue

View full text Add to dashboard Cite

Heterogeneous Deformation in a Commercially Pure Titanium Sheet under Dwell Fatigue Loading: Crystal Plasticity Modeling and Experiment

Cited by 5 publications

References 44 publications

Strain localization and crack initiation behavior of a PM Ni‐based superalloy: SEM‐DIC characterization and crystal plasticity simulation

Strain localization and crack initiation behavior of a PM Ni‐based superalloy: SEM‐DIC characterization and crystal plasticity simulation

Effects of temperature and microstructure on low cycle fatigue behaviour of a PM Ni-based superalloy: EBSD assessment and crystal plasticity simulation

Influence of dispersed β phase on local deformation pattern in mill-annealed Ti-Fe-O alloy under dwell fatigue loading

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