Investigation of Grain Refinement Mechanism of Nickel Single Crystal during High Pressure Torsion by Crystal Plasticity Modeling

Wei, Peitang; Zhou, Hao; Liu, Huaiju; Zhu, Caichao; Wang, Wei; Deng, Guanyu

doi:10.3390/ma12030351

Cited by 8 publications

(4 citation statements)

References 45 publications

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“…The relationship between plastic shearing rate

{\dot{normalγ}}^{(α)}

and resolve shear stress τ ( α ) can be expressed by a nonlinear kinematic hardening rule 55 :

{\dot{normalγ}}^{(α)} = {\dot{normalγ}}_{0}^{(α)} italicsgn ((), τ^{(α)} - χ^{(α)}) {|\frac{τ^{(α)} - χ^{(α)}}{g_{c}^{(α)} ((), 1 - D)}|}^{n}

where χ ( α ) denotes back stress on the slip system.

g_{c}^{(α)}

represents strength of the slip systems, the evolution rule of which can be expressed as follows 56 :

{\dot{g}}_{c}^{(α)} ((), γ) = \sum_{β}^{n} h_{αβ} ((), γ) (||, {\overset{γ}{true}}^{((), β)}), normalγ = \int \sum_{β}^{n} (||, d γ^{(β)})

h_{αβ} ((), γ) = H ([], q + ((), 1 - q) δ_{αβ})

where h αβ is hardening modulus. The evolution of back stress χ ( α ) on the slip system can be described by:

{\dot{χ}}^{(α)} = c {\dot{normalγ}}^{(α)} - b χ^{(α)} (||, {\overset{γ}{true}}^{((), α)})

where c is direct hardening coefficient and b represents dynamic recovery coefficient.…”

Section: Simulation Methodologymentioning

confidence: 99%

See 1 more Smart Citation

Damage behavior due to rolling contact fatigue and bending fatigue of a gear using crystal plasticity modeling

Wang

Wei

Liu

et al. 2021

Fatigue Fract Eng Mat Struct

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Gear fatigue issues, including bending and contact fatigue, are attractive problems with significant engineering safety implications. Currently, no fatigue analysis model can combine the effects of bending and contact fatigue to predict gear fatigue life because of their different failure mechanisms. In addition, most gear fatigue studies are still limited to the understanding at the macro level, thus cannot provide theoretical interpretations for practical engineering observations such as scattered experimental data and material deterioration. Here, we proposed a unified microstructure model by considering different failure mechanisms of rolling contact and bending fatigue. The crystal plasticity model combing the multiaxial fatigue criteria was established to capture the stress–strain history at the microlevel. The deterioration of mechanical properties of the material was simulated based on the continuum damage theory. This work provides more insight into the physical understanding of gear fatigue failure mechanism and theoretical support for gear antifatigue design.

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“…The relationship between plastic shearing rate

{\dot{normalγ}}^{(α)}

and resolve shear stress τ ( α ) can be expressed by a nonlinear kinematic hardening rule 55 :

{\dot{normalγ}}^{(α)} = {\dot{normalγ}}_{0}^{(α)} italicsgn ((), τ^{(α)} - χ^{(α)}) {|\frac{τ^{(α)} - χ^{(α)}}{g_{c}^{(α)} ((), 1 - D)}|}^{n}

where χ ( α ) denotes back stress on the slip system.

g_{c}^{(α)}

represents strength of the slip systems, the evolution rule of which can be expressed as follows 56 :

{\dot{g}}_{c}^{(α)} ((), γ) = \sum_{β}^{n} h_{αβ} ((), γ) (||, {\overset{γ}{true}}^{((), β)}), normalγ = \int \sum_{β}^{n} (||, d γ^{(β)})

h_{αβ} ((), γ) = H ([], q + ((), 1 - q) δ_{αβ})

where h αβ is hardening modulus. The evolution of back stress χ ( α ) on the slip system can be described by:

{\dot{χ}}^{(α)} = c {\dot{normalγ}}^{(α)} - b χ^{(α)} (||, {\overset{γ}{true}}^{((), α)})

where c is direct hardening coefficient and b represents dynamic recovery coefficient.…”

Section: Simulation Methodologymentioning

confidence: 99%

“…represents strength of the slip systems, the evolution rule of which can be expressed as follows 56 :…”

Section: Damage-coupled Crystal Plasticity Modelmentioning

confidence: 99%

Damage behavior due to rolling contact fatigue and bending fatigue of a gear using crystal plasticity modeling

Wang

Wei

Liu

et al. 2021

Fatigue Fract Eng Mat Struct

Self Cite

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show abstract

“…Anyhow, the typical simple shear texture components can be seen in Figure 6 i, implying the achievement of a dynamic equilibrium stage. It is worth mentioning that a more direct understanding of the grain refinement and shear texture evolution during the HPT process of AA1050 has been obtained from the current experimental study via a comparison with those of crystal plasticity finite-element simulations of HPT process [ 8 , 18 ].…”

Section: Resultsmentioning

confidence: 99%

“…Traditionally, severe plastic deformation (SPD) technologies were employed to produce UFG and NC materials [ 6 ]. Equal channel angular pressing (ECAP), accumulative roll bonding (ARB), and high-pressure torsion (HPT) are the three most widely used SPD techniques due to their capacity for use in grain refinement [ 7 , 8 , 9 ]. Among them, HPT has its unique advantages over its two counterparts.…”

Section: Introductionmentioning

confidence: 99%

The Evolutions of Microstructure, Texture and Hardness of A1050 Deformed by HPT at the Transition Area

Ni,

Ding,

Wang

et al. 2023

Materials

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High-pressure torsion (HPT) is an effective severe plastic deformation method to produce ultrafine-grained (UFG) and nanocrystalline (NC) materials. In the past, most studies have focused on the evolutions in the microstructure, texture and mechanical properties of HPT-deformed materials at peripheral regions. The corresponding evolutions at a special area were observed in this study to reveal the potential plastic deformation mechanism for face-centred cubic (FCC) material with high stacking fault energy. A decreasing trend was found in grain size, and the final grain size was less than 1 μm. However, close observation revealed that the general trend could be divided into different sub-stages, in which grain elongation and grain fragmentation were dominant, respectively. Additionally, microhardness demonstrated a non-linear increase with the development of plastic deformation. Finally, the microhardness reached a high level of ~64 HV. At the early stages of HPT, the C component was transformed into a cube component, suggesting the material flows around the shear plane normal (SPN) axis at these stages. However, finally they will be replaced by ideal simple shear orientations.

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Study on spherulite anisotropy in semicrystalline polymers: quantifying mechanical properties and deformation mechanisms

et al. 2023

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Investigation of Grain Refinement Mechanism of Nickel Single Crystal during High Pressure Torsion by Crystal Plasticity Modeling

Cited by 8 publications

References 45 publications

Damage behavior due to rolling contact fatigue and bending fatigue of a gear using crystal plasticity modeling

Damage behavior due to rolling contact fatigue and bending fatigue of a gear using crystal plasticity modeling

The Evolutions of Microstructure, Texture and Hardness of A1050 Deformed by HPT at the Transition Area

Study on spherulite anisotropy in semicrystalline polymers: quantifying mechanical properties and deformation mechanisms

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