2015
DOI: 10.1016/j.scriptamat.2014.11.005
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Grain-size-dependent non-monotonic lattice parameter variation in nanocrystalline W: The role of non-equilibrium grain boundary structure

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Cited by 41 publications
(19 citation statements)
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References 34 publications
(50 reference statements)
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“…The interfacial stress can be quantitatively calculated in term of GB interfacial energy [49]. The GB interfacial energy of the ball-milled powders is associated with the GB interfacial energy of un-milled powder and the excess GB interfacial energy [22]. The excess GB interfacial energy (γgbExcess) can be calculated using the model proposed by Nazarov et al [50] as follows: γgbExcess=Gb2sans-serifρnormald12sans-serifπ(1sans-serifν)ln(db) where G is the shear modulus (79.16 GPa for Fe–10Cr–3Al), b is the Burgers vector, ρ is the dislocation density, d is the crystallite size, and ν is Poisson’s ratio.…”
Section: Resultsmentioning
confidence: 99%
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“…The interfacial stress can be quantitatively calculated in term of GB interfacial energy [49]. The GB interfacial energy of the ball-milled powders is associated with the GB interfacial energy of un-milled powder and the excess GB interfacial energy [22]. The excess GB interfacial energy (γgbExcess) can be calculated using the model proposed by Nazarov et al [50] as follows: γgbExcess=Gb2sans-serifρnormald12sans-serifπ(1sans-serifν)ln(db) where G is the shear modulus (79.16 GPa for Fe–10Cr–3Al), b is the Burgers vector, ρ is the dislocation density, d is the crystallite size, and ν is Poisson’s ratio.…”
Section: Resultsmentioning
confidence: 99%
“…The excess GB interfacial energy (γgbExcess) can be calculated using the model proposed by Nazarov et al [50] as follows: γgbExcess=Gb2sans-serifρnormald12sans-serifπ(1sans-serifν)ln(db) where G is the shear modulus (79.16 GPa for Fe–10Cr–3Al), b is the Burgers vector, ρ is the dislocation density, d is the crystallite size, and ν is Poisson’s ratio. The excess GB interfacial energy varies non-monotonically with a decrease in the crystallite size during milling of pure metal and correspondingly, the interfacial stress follows a similar trend during milling [22]. However, the excess GB interfacial energy decreases monotonically with crystallite size in the case of Fe-alloy [27].…”
Section: Resultsmentioning
confidence: 99%
“…Hence, Ta becomes a Ta-rich solid solution in the course of milling and further processing [43]. In addition, grain-boundary interfacial stresses accompanied by the evolution of reduced crystallite size and non-equilibrium grain boundaries [26], should result in the lower lattice parameter of W as calculated and discussed above. Fig.2(a) shows the shrinkage (%) and shrinkage rate (%/min) during non-isothermal sintering of the nanocrystalline W-5wt.%Ta alloy powder.…”
Section: Resultsmentioning
confidence: 86%
“…The temperature and expansion of the lattice decreased the grain size as reported earlier. [27][28][29][30][31][32][33][34][35][36] The lattice parameters were calculated using the following equations. 37,38 The lattice parameter values are tabulated in Table 1.…”
Section: Results and Discussion Powder X-ray Diffractionmentioning
confidence: 99%