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本文综述了分形学在材料中应用的发展过程,并阐明分形理论对材料力学行为研究的重要意义。评述材料损伤断口的几种分形维数的测定方法,同时例举岩石断裂的分形特性及其材料的断裂韧性与分形维数之间的关系。
This paper reviews the development of fractal applications in materials and elucidates the importance of fractal theory in the study of mechanical behavior of materials. The methods for determining the fractal dimension of material damage fracture are reviewed. The fractal characteristics of rock fracture and the relationship between the fracture toughness and the fractal dimension of the material are also illustrated.