Analysis and Simulation of Evolution Induced Catastrophe

Chin. Phys. Lett.

1993, Vol. 10

Issue (3): 155-158 DOI:

Original Articles

Analysis and Simulation of Evolution Induced Catastrophe

BAI Yilong¹;XIA Mengfen^1,2;KE Fujiu^1,3;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

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BAI Yilong, XIA Mengfen, KE Fujiu et al 1993 Chin. Phys. Lett. 10 155-158

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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.

Keywords: 62.20.Mk 64.60.Ak 64.60.Ht

Published: 01 March 1993

PACS:	62.20.Mk
	64.60.Ak
	64.60.Ht	(Dynamic critical phenomena)

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https://cpl.iphy.ac.cn/ OR https://cpl.iphy.ac.cn/Y1993/V10/I3/0155

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