軸対称引張り荷重を受けるぜい性材料円板におけるき裂分岐形態の分岐次元による解析

概要

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In order to quantify the crack branching morphology of brittle materials under axisymmetric tension, the "branching dimension" was defined in the present paper, and the relation between the branching dimension and fracture mechanics parameters was introduced. The branching dimension D_b is defined as : D_b=d(logL_i)/d(log a_i) , Where L_i is the total crack length after i-th crack branching has occurred and a_i is the crack length which corresponds to the distance from crack nucleation point to crack tip. When the nominal stress varies with increasing crack length a according to the relation, σ_i /σ_0= (a_i/a_0)^m, the branching dimension) D_b can be expressed by : D_b=2+2m=2+2・d{log(σ_i)}/d{log(a_i)} whereσ_0 and a_0 are the stress and the crack length at crack initiation. Moreover, D_b can be expressed by the change of the number of cracks, n, with increasing crack length, a_i : D_b=1+d{log (n)/d {log (a_i)} The branching dimension can well characterize the branching patterns obtained from the flexural test of Pyrex glass, ceramic and high strength steel specimens.
1991-05-15