摘要
分形维数是材料断面特征的定量表征参数之一,同时也是判断材料断裂机理的依据,在材料力学中具有非常重要的意义。为了准确和有效地测算材料断面分形维数,引入三角形菱柱表面积法（TPSAM）,并根据其原理编写程序,在Matlab 7.1运行环境条件下实现了该算法,最后采用实例对该算法作了测算。结果表明,该程序简单明了,便于操作;所求算的表面分形维数介于2~3之间,准确度高,可推广使用。
Fractal dimension is one of the parameters for characterizing the fracture surface of materials quantitatively,is also the basis for analysing the fracture mechanism of materials,so it is very important in mechanics of materials.In order to improve the efficiency of calculation on fractal dimension of fracture surface of materials by triangular prism surface area method（TPSAM）,aprogram for TPSAM based on Matlab 7.1was compiled and verified by using of two different samples.The results showed that the program was easy to be read and operate,and the calculated fractal dimension of the samples was in a range from 2to 3.Therefore,the program was accurate and could be used widely.
关键词
三角形菱柱表面积法
分形
分形维数
triangular prism surface area method（TPSAM）
fractal
fractal dimension
