【摘要】 借助MATLAB软件,分别调用插值函数(griddata)编写程序绘制Ag-Pb-Sn三维相图—插值法和回归函数(regress)编写程序绘制三维相图—拟合曲面方程法。结果表明:插值法得到的三维相图液相面很不光滑,局部波动很大,不能显示出相邻相区的析晶线和共晶点;拟合曲面方程法得到的液相面相对光滑,并能清晰的显示出相邻相区的析晶线和共晶点,拟合出的(Ag),Ag5Sn,Ag3Sn,(Pb),(Sn)等相区曲面方程的可决系数r2分别为1.0000,0.9819,0.9855,0.9872,0.9713,说明拟合出的曲面方程是可信的。为了进一步验证拟合出液相面的准确性,选择投影图上等温线数据,对比其原始温度值与拟合温度值,结果表明:原始值与拟合值的最大偏差为23.67℃,最小为0.26℃,偏差绝对值的平均值为6.57℃,相对误差绝对值的平均值为1.36%,原始值与拟合值相符,说明利用拟合曲面方程法获得Ag-Pb-Sn三维相图是准确、可行的。相对Ag-Pb-Sn的二维投影图,Ag-Pb-Sn三维相图不仅能获得液相面上任意一点的温度值,并且能直观显示出各个相区的温度变化趋势。更多还原

【Abstract】 The three-dimensional phase diagrams of Ag-Pb-Sn were obtained with the method of invoking interpolation-function( griddata) programming which was interpolation-method and the method of invoking regress-function( regress) programming which was fitted surface-equation-method,respectively,in MATLAB. The results showed that the liquid surface drawn by fitted surface-equationmethod was smoother than that by interpolation-method,at the same time,it could clearly show the crystallization-line and eutectic point. The determination-coefficient of surface equations of( Ag),Ag5Sn,Ag3Sn,( Pb),( Sn) phase were 1. 0000,0. 9819,0. 9855,0. 9872,0. 9713,which indicated the credibility of surface equations. In order to further examine the accuracy of the liquid surface,the data of isotherm in the Ag-Pb-Sn phase diagram were chosen to compare its original values with fitted values. The results showed that the maximum deviation was 23. 67 ℃,the minimum deviation was 0. 26 ℃,deviation absolute value-average was 6. 57℃,and the relative error-absolute value-average was 1. 36%. The original values were consistent with the fitted values. The fitted surface-equation-method was trustworthy. Comparing with Ag-Pb-Sn two-dimensional projection,three-dimensional phase diagram of AgPb-Sn could display temperature of any point on liquid surface and temperature changing trend of liquid surface.更多还原