材料损伤断裂中的分形行为

本文概述了分形几何学在材料损伤断裂研究中的应用,指出断裂表面的粗糙程度及不规则性可用分形维数给予很好的定量描述,而且分形维数与材料的断裂韧性密切相关。损伤演化过程与逾渗现象极为相似,临近断裂和破碎时,某些物理量所表现出来的异常行为往往满足一定的标度关系。这方面的深入研究有助于认识断裂过程的复杂性及损伤断裂的物理机理。

FRACTALS IN DAMAGE AND FRACTURE OF MATERIALS

The applications of fractal geometry to damage fracture of materials arc reviewed. The irregularity and roughness of fractured surface can be quantitatively represented by fractal dimension which is in turn related to fracture toughness. The damage evolution process is similar to percolation, and the unusual behavior of some properties at fracture or fragmentation is often related to certain scaling relations. These studies on complexity of fracture and physical mechanism of damage fracture are very important.