金属材料弹性模量随机场相关特性的实验与分析

利用弹性模量和硬度的联系,完成了铝合金LY12CZ-M和合金钢30Cr Mn Si A弹性模量随机场相关特性的实验测量及分析。具体工作包括测量试件空间各点的洛氏硬度,并以区域化变量理论中的相关函数为工具对测量数据进行统计分析。分析结果表明:金属材料弹性模量随机场的变异系数在7%左右;随机场的空间连续性较好,不存在块金效应;相关函数模型宜选用单指数型;随机场不同方向上的相关特性几乎相同。

Experiment and Analysis of Correlated Characteristic of Elastic Modulus Random Field for Metallic Material

Making use of the relationship between the elastic modulus and the hardness, an experimental measurement and an analysis of the correlation characteristics of the elastic modulus random fields for two metals, aluminum alloy LY12CZ-M and alloy steel 30CrMnSiA, were accomplished in this study. The detailed work involved measurements of Rockwell hardness values at a series of points on the specimen and a statistical analysis of the test result based on the correlation function in the theory of regionalized variable. The result shows that the coefficient of variation of the elastic modulus random field for metals is around 7%, there is no nugget effect in the spatial continuity of the random field, and the single exponential model is the most suitable for the correlation function. Furthermore, the correlation characteristics in different directions are nearly the same.