2023
DOI: 10.1016/j.matdes.2023.111644
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Enhancing low thermal expansion behavior and strength via induced Zr-rich intermetallic phase in Fe-36Ni Invar alloy

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Cited by 23 publications
(3 citation statements)
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“…The microstructure‐related parameters are necessary to explain the variation of mechanical properties, and the slip of the crystal is achieved by dislocation motion. To explore the increment via dislocation strengthening, the dislocation densities at Zn alloys with different Mg contents are considered and given by: [ 86 ] ΔσDS=MαGbρ1false/2$$\Delta \left(\sigma\right)_{\text{DS}} = M \alpha G b \left(\rho\right)^{1 / 2}$$where M (3.06) is the mean orientation factor, a (0.2) is a constant, G (43 GPa) is the shear modulus, and b (0.27 nm) is the magnitude of the Burgers vector for the face‐centered cubic (FCC) Zn matrix, [ 86 ] while ρ is the dislocation density which is determined by Williamson–Hall method and Scherrer equation. [ 87 ] The calculated values of ΔσDS$\Delta \left(\sigma\right)_{\text{DS}}$ for HPS Zn– x Mg–0.2GNP are listed in Table 4.…”
Section: Resultsmentioning
confidence: 99%
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“…The microstructure‐related parameters are necessary to explain the variation of mechanical properties, and the slip of the crystal is achieved by dislocation motion. To explore the increment via dislocation strengthening, the dislocation densities at Zn alloys with different Mg contents are considered and given by: [ 86 ] ΔσDS=MαGbρ1false/2$$\Delta \left(\sigma\right)_{\text{DS}} = M \alpha G b \left(\rho\right)^{1 / 2}$$where M (3.06) is the mean orientation factor, a (0.2) is a constant, G (43 GPa) is the shear modulus, and b (0.27 nm) is the magnitude of the Burgers vector for the face‐centered cubic (FCC) Zn matrix, [ 86 ] while ρ is the dislocation density which is determined by Williamson–Hall method and Scherrer equation. [ 87 ] The calculated values of ΔσDS$\Delta \left(\sigma\right)_{\text{DS}}$ for HPS Zn– x Mg–0.2GNP are listed in Table 4.…”
Section: Resultsmentioning
confidence: 99%
“…Finally, as for PS, the Mg 2 Zn 11 phase can effectively pin the dislocation migration by the Orowan mechanism. The incremental yield strength from PS can be calculated by using: [ 86 ] ΔσPS=kf1false/2dln(db)$$\Delta \left(\sigma\right)_{\text{PS}} = \frac{k f^{1 / 2}}{d} \text{ln} \left(\right. \frac{d}{b} \left.\right)$$where f and d are the volume fraction and the average diameter of the precipitates, respectively, and k is a constant with a value of 5.9 N m −1 for the FCC Zn matrix.…”
Section: Resultsmentioning
confidence: 99%
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