Research Article

Grain Size Dependence of Elastic Moduli in Nanocrystalline Tungsten

Table 1

Mean grain size, grain centre distribution, grain boundary atomic fraction , bulk modulus , shear modulus , Young’s modulus , and Poisson’s ratio , calculated from the above values of B and , and average values of Young’s modulus resulting from uniaxial strain tests, for each of the 8 samples studied in this paper. The bulk modulus for tungsten single crystal is 310 GPa with the potential used here, the shear modulus value is 161 GPa, Young’s modulus value is 410 GPa, and Poisson’s ratio value is 0.28.

Sample number12345678

(nm)2.72.73.03.04.04.06.76.7
Grain centre distributionBCCFCCBCCFCCBCCFCCBCCFCC
Grain boundary atomic fraction (%)848678796367.54042
(GPa)221229235232249245269268
(GPa) before relaxation276274277278289286299299
(GPa)6158.565637574100106
(GPa) before relaxation139138141139144144153158
from and 0.3740.3790.3740.3760.3600.3740.3300.325
(GPa) from and 167161178173204202267281
(GPa) from uniaxial tests165162178173207202270285.5