ぜい性材料における破壊じん性とき裂形態の関係

概要

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A theorotical analysis of crack morphology based on the fractal geomotry was made to derive an equation correlating the fractal dimension of crack, D"(the fractal dimension of crack profile in the two dimensional plane, 1 < D" < 2)with the fracture toughness, K_<IC>. The fracture toughness, K_<IC> can be expressed as a following function of D" :1n K_<IC>=1/2{1n[2ΓE/(1 - v^2)]-(D"- 1)1n γ_L}, where Γ is the work done in creating a unit crack surface, Eis Young's modulus, υis Poisson's ratio, and γ_L is γ_<min>/γ_<max> the ratio of the lower limit, γ_<min> to the upper limit, γ_<max> of the scale lemgth, γ, between which the crack exhibits a fractal nature(γ<_min>≨γ≨γ_<max>). The relationship between the indentation fracture toughness, and the fractal dimension of crack was then examined on various specimens of oxide, carbide and nitride ceramics and a hard metal.
社団法人日本材料学会の論文
1998-02-15