高速進展き裂のパーコレーションモデル
1993 年 59 巻 566 号 p. 2259-2264
詳細
1993 年 59 巻 566 号 p. 2259-2264
The percolation model for rapid extension of a crack is proposed. In this model, a crack progresses through a two-dimensional lattice when the initially closed "bond", defined at each square, is broken. The fracture surface corresponds to the percolated region of the "broken square" and the tip of the crack is identified as the periphery of this percolated region. The probability P of breaking a bond is defined as P = K/√(R) for R ≤ RIC, where K(≤1) is a parameter to be varied and R is a row or column distance from the crack tip. RIC is the critical distance within which the bond breaks with the probability P. The initially plane crack tip progresses through a 60×270 lattice with the probability P during a unit time step, and a new crack tip is identified. The velocity of a crack for various values of K and RIC is measured. Various aspects of the simulation are examined and the correspondence between this simulation and the well known experimental result is discussed. We find that the behavior of the velocity of a crack is reasonable, which indicates that the present model can be used to investigate dynamic behavior of a crack.
