軸対称引張荷重を受けるぜい性材料円板におけるき裂伝ぱ形態

概要

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Crack propagation and branching behaviour in a disk under axisymmetrical tension was analyzed by using an energy consideratuon. The result was compared with the experimental result of flexual test in which a glass or ceramic disk was supported along its edge and load was applied at the center of disk. If crack branching occurs by the decrease of free energy of the system, the cracklength a_1 after the i-th crack branching has ossurred is given as follows: a_i≒(2^<2i+1>)/(2^<i+1>-1)・(E_γ)/(πσ^2) Where E is elastic modulus, γ is surface energy, a is tensile stress, and n =2^<i+1> is number of cracks. The surface energy γ, which was calculated by dividing the stored strain energy in a disk before frac-ture by the total crack surface, was almost the same independen.tly of the number of cracks. The crack branching pattern observed for disk specimens agreed relatively well with the pattern calculated from the above equation.
社団法人日本材料学会の論文
1990-06-15