Analysis and Simulation of Evolution Induced Catastrophe
BAI Yilong1, XIA Mengfen1,2, KE Fujiu1,3, LU Chunsheng1, LING Zhong1
1Laboratory for Nonlinear Mechanics of Continuous Media, Institute of Mechanics, Academia Sinica, Beijing 100080
2Department of Physics, Peking University, Beijing 100871
3Department of Applied Mathematics and Physics, Beijing University of Aeronautics and Astronautics, Beijing 100083
Analysis and Simulation of Evolution Induced Catastrophe
BAI Yilong1;XIA Mengfen1,2;KE Fujiu1,3;LU Chunsheng1;LING Zhong1
1Laboratory for Nonlinear Mechanics of Continuous Media, Institute of Mechanics, Academia Sinica, Beijing 100080
2Department of Physics, Peking University, Beijing 100871
3Department of Applied Mathematics and Physics, Beijing University of Aeronautics and Astronautics, Beijing 100083
Abstract： A model of evolution induced catastrophe (EIC) characterized by a nonlocal interaction is proposed. The general feature of the model is its two bias states: explosively catastrophic and globally stable, both consisting in a cascade of locally unstable states. A one-dimensional analysis reveals a transition region from globally stable to catastrophe. A two-dimensional simulation gives a thin fractal fracture profile similar to that observed and also a possible spectrum of fracture fractal. All these are different from percolation. Hence, the EIC model may represent a prototype of natural processes.
BAI Yilong;XIA Mengfen;KE Fujiu;LU Chunsheng;LING Zhong. Analysis and Simulation of Evolution Induced Catastrophe[J]. 中国物理快报, 1993, 10(3): 155-158.
BAI Yilong, XIA Mengfen, KE Fujiu, LU Chunsheng, LING Zhong. Analysis and Simulation of Evolution Induced Catastrophe. Chin. Phys. Lett., 1993, 10(3): 155-158.
1993, Vol. 10 
