基于μCT图像的PVC泡沫微观试样几何模型生成算法

在泡沫微观结构的数值模拟中，泡沫空腔的几何特征和排列状态对计算效率及计算结果有着重要的影响，基于前进面搜索几何构造算法和Laguerre划分算法，提出了一种新的PVC泡沫微观试样几何模型生成算法。从μCT扫描图像重构泡沫的真实几何模型，测量泡沫空腔的几何特征及体积分布规律，将测量得到的泡沫空腔体积转化为球体，并通过前进面搜索几何构造算法投入空间，通过Laguerre划分算法将空间球体进行区域划分，赋予壁厚参数，构建出闭孔PVC泡沫的微观几何模型。所建立的模型在微观几何特征上与实际材料符合较好。 

An algorithm for generating geometric models of microscopic specimens of PVC foam based on μCT images

In numerical simulation of foam microstructure, the geometric characteristics and arrangement of foam cavities have an important influence on calculation efficiency and calculation results. We propose a new algorithm, based on the advancing surface search geometric construction algorithm and the Laguerre partition algorithm, to generate the geometric model of the PVC foam microscopic specimen. First, reconstruct the authentic geometric model of the foam from μCT scan image, and measure the geometric characteristics of the foam cavity and the volume distribution pattern. Then, convert the measured foam cavity volume into a sphere, and put it into the space through the advancing surface search geometric construction algorithm. Finally, divide the space sphere into regions by means of Laguerre division, and assign wall thickness parameters to form a geometric model of the microstructure. The established model is in good agreement with the actual material in terms of micro-geometric characteristics.