钢纤维混凝土压力与体积应变关系的分形计算方法

Methods of calculation pressure-volume strain relations with fractal geometry

为研究钢纤维混凝土在压力作用下与体积应变之间的关系,采用分形理论中的分形插值方法,对压力—应变关系进行了计算,导出了压力与体积应变关系曲线的迭代函数系统IFS(iterated function system)。结合钢纤维混凝土材料的试验数据,计算了3种钢纤维混凝土材料与素混凝土的IFS的参数,得出了IFS的吸引子,即最终迭代得到的压力与体积应变关系曲线。试验中所有数据点均落在该曲线上,能够更为真实地反映压力与体积应变的关系。

The present paper dealt with pressure-volume strain relations of SFRC （steel fiber reinforce concrete） materials under compaction. Fractal interpolation functions were used to calculate the data and then the iterated function system （IFS） of SFRC materials were presented. By using test data of three SFRC materials and concrete, parameters in iterated function system were calculated. Finally, the attractors （figure of final iterated function system） of iterated function system were presented. The attractors pass through all test data and can express relationship between pressure and volume strain more correctly.