Scale effect and geometric shapes of grains  

作　　者：郭辉 郭兴明 

机构地区：[1]Shanghai Institute of Applied Mathematics and Mechanics,Shanghai University

出　　处：《Applied Mathematics and Mechanics(English Edition)》2007年第2期141-149,共9页应用数学和力学（英文版）

基　　金：Project supported by the National Natural Science Foundation of China(No.10472061);Key Project of Shanghai Municipal Commission of Science and Technology(No.04JC14034);the Doctoral Foundation of Ministry of Education of China(No.20060280015);Shanghai Leading Academic Discipline Project(No.Y0103)

摘　　要：The role-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 are 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 is established to investigate the scale effect of mechanical properties of NC materials due to the geometrical polyhedron characteristics of crystal grain. For different multi-sided geometrical shapes of grains, the corresponding regular polygon model is adopted to obtain more precise phase volume fractions and exactly predict the mechanical properties of NC materials.The role-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 are 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 is established to investigate the scale effect of mechanical properties of NC materials due to the geometrical polyhedron characteristics of crystal grain. For different multi-sided geometrical shapes of grains, the corresponding regular polygon model is adopted to obtain more precise phase volume fractions and exactly predict the mechanical properties of NC materials.

关 键 词：nanocrystalline （NC） material phase mixture regular polygon models yield stress volume fractions grain boundary （GB） 

分 类 号：TB383.1[一般工业技术—材料科学与工程]