泡沫铝微结构的分形特及与子L隙率的关系研究

摘要

The fractal theory is introduced to study the microstructure of foamed aluminum, it is proved that its inicrostructure satisfy the fractal geometry of self-similar in a certain scale by using slit island method proposed by Mandelbrot. By using the Sierpinski capet model, the relationship of foam porosity and fractal dimension is expressed. The results show thai fractal-hased analysis model can reveal the relationship of porosity and fractal dimension.%采用分形理论对泡沫铝材料微结构进行了研究,利用面积周长分维算法证明了其微结构在一定尺度内具有自相似性的分形特征.利用Siterpinski地毯模型研究了包沫铝孔隙率与分维之间的关系.研究结果表明.引入分形维数的分析模型能够较好地反映泡沫铝微结构与孔隙率之间的关系.