分形理论在陶瓷材料断裂行为中的应用  

Application of the Fractal Theory in Fracture Behavior of Ceramics

作　　者：李静[1] 尹衍升 马来鹏[2] 蔡元兴[3] 岳雪涛[3] 

机构地区：[1]中国海洋大学材料科学与工程研究院,山东青岛266003 [2]中国科学院金属所国家实验室,辽宁沈阳110016 [3]山东建筑大学材料科学与工程学院,山东济南250101

出　　处：《稀有金属材料与工程》2007年第A01期707-710,共4页Rare Metal Materials and Engineering

基　　金：山东省优秀中青年奖励基金资助项目(2005BSB01187)

摘　　要：综述了近年来分形理论在陶瓷材料断裂行为和断裂机制方面应用的进展情况,主要包括分形理论的产生、陶瓷断口的分形特征和分形维数的测定方法、材料断裂的分形模型以及分形维数与材料性能之间的关系。通过对Al2O3-TiC(AT)和Al2O3-TiC-4%Co(ATC)(体积分数)两种复合材料表面压痕裂纹扩展特征分析和分形维数的计算,获得与其断裂行为相关的信息,结果表明ATC材料的断裂韧性和抗弯强度均有较大提高,其断裂模式从典型的沿晶断裂转变为沿晶/穿晶混合断裂模式,对两种材料表面压痕裂纹的分形计算表明ATC的压痕裂纹具有较高的分形维数,与其较高的断裂韧性存在正比例的对应关系。In this paper, the application of the fractal theory in fracture behavior and mechanism of ceramics has been reviewed, mainly including the origin of the fractal theory, the fractal character of ceramic fracture and the calculation methods of fractal dimension, a variety of fractal models and the relationship between the fractal dimension and properties of ceramics. By analyzing the geometrical features of crack profiles and calculating the fractal dimensions of Al2O3-TiC（AT） and Al2O3-TiC-4%Co （ATC） , the important information on the fracture behavior of the composites can be attained. The results show that the toughness and strength of the ATC composites became higher than before. AS compared to the AT composites, ATC composites show a change of fracture mode from intergranular to a mixture of transgranular and intergranular type. Quantitative evaluation by fractal analysis of crack paths in both composites indicates that ATC composites present higher fractal dimension （or irregularity） than that of AT composites, which is positively proportional to the higher fracture toughness.

关 键 词：分形 分形维数 断裂行为 AL2O3-TIC 

分 类 号：TQ174.1[化学工程—陶瓷工业]