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Journal of Nanomaterials
Volume 2017, Article ID 3620910, 6 pages
Research Article

Grain Size Dependence of Elastic Moduli in Nanocrystalline Tungsten

Department of Physics and Mechanics of Materials, Institut Pprime, UPR 3346 CNRS, Université de Poitiers, ENSMA, Futuroscope, SP2MI, BP 30179, 86962 Chasseneuil-du-Poitou, France

Correspondence should be addressed to P. Valat-Villain; rf.sreitiop-vinu@talav.elacsap

Received 31 January 2017; Accepted 16 May 2017; Published 7 June 2017

Academic Editor: Ping Xiao

Copyright © 2017 P. Valat-Villain et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Using atomistic calculations with a Finnis-Sinclair type potential and molecular statics and dynamics methods, we performed a series of deformation tests on nanocrystallised tungsten samples presenting various microstructures; we calculated the elastic constants of polycrystalline tungsten for average grain diameters ranging from 2.7 to 6.7 nm. The results show that both Young’s and the shear moduli decrease by over 60% as the average grain diameter decreases below 3 nm. This diminution appears to be highly correlated to the grain boundary volume fraction. The results are compared to conclusions from other authors.