1st European Mechanics of Materials Conference on Local Approach to Fracture '86 - 96'
J. Phys. IV France 06 (1996) C6-403-C6-409
The Percolation Model for Rapid Crack PropagationM. Watanabe1, S. Shudoh2 and S. Katsura3
1 KinKi University, Faculty of Engineering, Takaya, Higashi-Hiroshima 739-21, Japan
2 Mitsubishi Denki Control Software, 6-1-2 Hamayama-douri, Hyogo-Ku, Kobe 652, Japan
3 Nippon Denki Robot Engineering, 1-1-25 Shinurashima-cho Kanagawa-ku, Yokohama 221, Japan
The percolation model for rapid crack propagation is proposed and it's properties are examined. In this model, a crack progresses through a two dimensional square lattice when initially closed "bond", defined at each square, is broken. The probability p of breaking a bond is defined as p=K/√R for 1≤R≤RIC, where K(0≤K≤1) is a constant and R is a row or column distance from the "broken bond", which remains active during an unit time. RIC is the critical distance within which the bond breaks with the probability p. The fractal properties of fractured patterns starting from a single broken bond according to this rule is studied. The initially plane crack tip progresses through 60 x 270 square lattice, and the velocity of a crack for various values of K and RIC are investigated. Implication of this simulation to the experiment of rapid crack propagation (RCP) is discussed.
© EDP Sciences 1996