A new grain topology-size relationship in three-dimensional(3D)polycrystalline microstructures has recently been established by considering the effects of non-random first nearest neighbor grains.In this contribution,a generalized form for this relationship is presented by considering the interactions of kth(k=1,2,3…)nearest neighbor grains,and large scale Monte Carlo-Potts model simulation is used to investigate the general neighborhood topological effect on the topology-size relationship.The results show that,unlike their first nearest neighbors(k=1),the topological correlations of 3D grains with their kth layers(k 2)of nearest-neighbors may have trivial effect on the topology-size relationship.
Based on the two sublattice model of the regular solution,one being metal atom sublattice and another being interstitial atom sublattice,a thermodynamic model for the precipitates of niobium carbonitride,vanadium carbonitride and titanium carbonitride was established to study the starting-temperature of precipitates and the austenite compositions at given temperature in a low carbon steel.The calculation results show that starting-temperature of the precipitation of niobium carbonitride,vanadium carbonitride and titanium carbonitride are 1100℃,920℃ and 1340℃,respectively,the mole fraction of carbonitride precipitates is 8.65×10-4 in the 0.053C-0.0028N-1.28Mn-0.008S-0.031Al-0.046Nb-0.008Ti0.029V-Fe steel.When the N content is from 0.0028% to 0.0056%,the starting-temperature of the precipitation of the titanium carbonitride changes from 1340℃ to 1430℃.And the C content is from 0.053% to 0.07%,the startingtemperature of the precipitation of the titanium carbonitride hardly changes,but the atomic fraction of niobium in the carbonitride obviously increases.
XIANG Song 1,3,LIU Guo-quan 2 (1.School of Materials and Metallurgy,Guizhou University,Guiyang 550003,Guizhou,China
通过Gleeble-1500热模拟单轴压缩试验，研究了一种含1.79% Al （质量分数）的以Al替代Si微合金化高强度钢在温度为900-1100℃、应变速率为0.01-30 s^-1条件下的热变形行为.建立了考虑应变量对材料常数影响的双曲正弦本构方程，利用建立的本构方程预测的应力-应变曲线与实验值吻合良好，表明建立的本构方程可以对实验钢的流变应力给出相对准确的预测.建立了实验钢的加工图，根据加工图分析确定了实验钢的动态再结晶区为1000-1100℃和0.01-1 s^-1.组织观察表明在动态再结晶区实验钢发生了动态再结晶，而失稳区对应的组织出现了变形集中带或“项链”组织.最后将建立的本构方程和加工图联合运用，为更全面地研究实验钢在不同变形条件下的热变形行为提供了方法.
