中文摘要：

为了精确描述土体裂隙的形态特征,基于数学形态学理论,编制了计算机数字图像信息处理软件,对拍摄的土体裂隙图像进行处理,提取图像中的裂隙边缘曲线,并计算不同裂隙发育状态下的裂隙边缘分形维数。进行了土体开裂观测试验,结果表明,裂隙边缘分形维数与裂隙宽度有较好的负线性关系,分形维数随裂隙宽度增大而减小,这为土体裂隙发育形态的预测和数值仿真提供可靠依据。初步探讨了将裂隙边缘分形维数应用在立方定律修正问题上的合理性,并指出需进一步解决的问题。

英文摘要：

In order to precisely describe the morphological characteristics of soil cracks,a computer digital graphic information processing software was developed based on the theory of mathematical morphology.The software was used to extract the crack edge curve in the image and calculate the fractal dimension of the crack edge with different development statuses.An experiment on cracking soil shows that the fractal dimension of the crack edge has a negative linear correlation with crack width： the fractal dimension decreases with the increase of the crack width,which provides a reliable basis for the forecasting of soil crack developmental morphology and simulation.In addition,the rationality of applying the fractal dimension of the crack edge to cubic law correction is briefly discussed.Furthermore,the problems that need to be solved are pointed out.