GUO Hui, GUO Xing-ming. Scale Effect and the Geometric Shapes of Grains[J]. Applied Mathematics and Mechanics, 2007, 28(2): 127-134.
Citation: GUO Hui, GUO Xing-ming. Scale Effect and the Geometric Shapes of Grains[J]. Applied Mathematics and Mechanics, 2007, 28(2): 127-134.

Scale Effect and the Geometric Shapes of Grains

  • Received Date: 2006-07-10
  • Rev Recd Date: 2006-12-07
  • Publish Date: 2007-02-15
  • The "rule-of-mixture" approach has become one of the widely spread ways to investigate the mechanical properties of nano-materials and nano-structures,and it is very important for the simulation results to exactly compute phase volume fractions.The nanocrystalline(NC) materials were treated as three-phase composites consisting of grain core phase,grain boundary (GB) phase and triple junction phase,and a two-dimensional three-phase mixture regular polygon model was established to investigate the scale effect of NC materials mechanical properties due to the geometrical polyhedron characteristics of crystal grain.For different multi-sides geometrical shapes of grains,the corresponding multi-sides regular polygon model was adopted to obtain more precise phase volume fractions and exactly predict the mechanical properties of NC materials.
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