2013
DOI: 10.2320/matertrans.l-m2013816
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First-Principles Calculation of Grain Boundary Excess Volume and Free Volume in Nanocrystalline and Ultrafine-Grained Aluminum

Abstract: We applied first-principles calculations to study the relationship between the grain boundary energy (GBE) and grain boundary excess free volume (BFV) at the tilt grain boundaries in aluminum. GBE increased linearly as the grain BFV increased and the value of the proportionality constant between them, ¡, was 13.8 GPa for aluminum. The grain boundary elastic energies calculated on the basis of first principles using a dummy boundary as well as the classical elasticity theory were close to the grain boundary ene… Show more

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Cited by 13 publications
(3 citation statements)
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“…Apparently, GB configurations with smaller GB excess volumes have lower GB energies, especially for the GBs with E exc GB lower than 0.25 J m −2 . This correlation is consistent with that observed in ab initio or EAM studies of GBs in fcc metals [44][45][46]. This is because the GB energy reflects the degree of local structural disorder in the GB configuration, which should accord with the degree of deviation from the closed-packed configuration with the minimum volume.…”
Section: Local Analysissupporting
confidence: 88%
“…Apparently, GB configurations with smaller GB excess volumes have lower GB energies, especially for the GBs with E exc GB lower than 0.25 J m −2 . This correlation is consistent with that observed in ab initio or EAM studies of GBs in fcc metals [44][45][46]. This is because the GB energy reflects the degree of local structural disorder in the GB configuration, which should accord with the degree of deviation from the closed-packed configuration with the minimum volume.…”
Section: Local Analysissupporting
confidence: 88%
“…In order to calculate the GB energy, E gb , according to [33][34][35][36][37][38][39], we used the following equation:…”
Section: Computational Detailsmentioning
confidence: 99%
“…Moreover, the interaction is expected to be activated because UFG metals fabricated by SPD processes have non-equilibrium GB, 17) which has excess GB energy. 18,19) In fact, the authors have proposed that grain-boundary sliding (GBS) was activated with decreasing strain rate ( ) in UFG interstitial-free (IF) steel, 20) but that mechanism remains unclear. Therefore, this study was conducted to ascertain the GBS mechanism and discuss the effect of dislocation − GB interaction on deformation by comparing deformation in CG and UFG metals.…”
Section: Introductionmentioning
confidence: 99%