摘要
本文考察了岩石裂纹(从晶粒尺寸的微裂纹到几千米的断层构造)的分叉在几何上存在的非规则性,在文献[10,11]的基础上,应用分形(fractal)几何建立了裂纹分叉的分形模型,分析了裂纹分叉的分形效应,从几何的角度研究了裂纹分叉使断裂韧性提高的物理力学现象,导出了一个比smith公式更合理的断裂韧性计算式。
In this paper, the irregularity on crack bifurcation (microcracks in grain size, cracks in centimetre size and fracture bed in kilometres size) of rock materials is examined. Based on Ref. [10-11] , a fractal model of crack bifurcation is established by fractal geometry, and the fractal effects of crack bifurcation are analysed. Meantime, the physical and mechanical phenomenon that fracture toughness can be raised by crack bifurcation is researched by the method of geometry. A more available formulation than Smith's equation for estimation of fracture toughness is derived.
出处
《力学学报》
EI
CSCD
北大核心
1989年第5期613-17,共1页
Chinese Journal of Theoretical and Applied Mechanics
关键词
岩石
裂纹
分叉
非规则性几何
分形
crack bifurcation, irregular geometry, fractal geometry, fractal model, fracture toughness
