Effects of homogenization on the dissolution and precipitation behaviors of intermetallic phase for a Zr and Er containing Al-Zn-Mg-Cu alloy

The effects of homogenization on dissolution and precipitation behaviors of intermetallic phase in a novel Zr and Er containing Al-Zn-Mg-Cu alloy were investigated.In this work,single-stage(SS:475℃/24 h) and doublestage(DS:400℃/12 h+475℃/24 h) homogenization treatments were carried out for the ingots with the heating rates of 300℃/h,50℃/h and 25℃/h,respectively.It was found that Er tended to segregate at the grain boundary in the form of Al_8Cu_4Er,and the formation mechanism was determined to be the eutectic reaction in the front of the solid/liquid interface during solidification.Also,Al_8Cu_4Er phase was detected to possess high melting point(～573.8℃),which fully remained after the homogenization.Meanwhile,a significant impact of heating rate on the dissolution of intermetallic phases for the studied alloy under the DS homogenization was determined,but little impact was observed under the SS homogenization.Morever,the size and distribution of the dispersoids after homogenization were fully analyzed.It was found that slow heating rates was helpful to refine the particles size,and increase the density as well as volume fraction of the precipitation under both SS and DS homogenization.However a higher density and volume fraction of the precipitated particles,and a relatively larger average particle size were gained with DS homogenization.     

单向复合材料损伤刚度的双重均匀化方法

研究了单向复合材料的细观损伤刚度问题。假设单向复合材料具有周期性的细观结构，通过渐近展开方法建立与两尺度坐标主量相关的控制方程。细观损伤用两个损伤变量来描述：裂纹线密度和面密度。通过所提出的双重均匀化方法来探讨它们对复合材料刚度的影响，上述问题结合数值分析，得到复合材料损伤刚度随损伤变量的变化关系。     

偏微分方程初—边值问题的简化

本文主要介绍应用“待定函数法”将边界条件齐次化,同时保证转化后的泛定方程也是齐次的。     

两尺度有限元粘塑性颗粒组合体压实模拟

采用一种基于均质化理论的两尺度有限元新方法,模拟粘塑性颗粒组合体的压实全过程,即在细尺度下,通过跟踪颗粒基本单元体(代表体元)的细尺度行为,来生成和更新颗粒组合体的粗尺度本构关系,求得颗粒运动和变形的数学表达式,并考虑了刚体运动与可变形微粒形变之间的耦合,基于此关系式,建立细尺度有限元模型,用以模拟分析颗粒介质在受压过程中的粘塑性细尺度结构行为;在粗尺度下,将颗粒组合体视为均质的连续体,采用粗尺度有限元模型,模拟颗粒组合体的受压过程,数值分析结果与文献实验数据基本一致,验证了该数值方法的准确性和有效性.