Contingent sensitivity to configuration in a nonlinear evolution system  

作　　者：柯孚久 方新 夏蒙棼 赵栋伟 白以龙 

机构地区：[1]Laboratory for Nonlinear Mechanics of Continuous Media, Institute of Mechanics, Chinese Academy of Sciences,Beijing 100080, China Department of Applied Physics, Beijing University of Aeronautics and Astronautics, Beijing 100083, China) [2]Laboratory for Nonlinear Mechanics of Continuous Media, Institute of Mechanics, Chinese Academy of Sciences,Beijing 100080, China [3]Laboratory for Nonlinear Mechanics of Continuous Media, Institute of Mechanics, Chinese Academy of Sciences,Beijing 100080, China Department of Physics, Center of Nonlinear Science, Peking University, Beijing 100871, China)

出　　处：《Progress in Natural Science:Materials International》1998年第2期43-46,共4页自然科学进展·国际材料（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Grant No. 19577102), the National Fundamental Research Project Nonlinear Science and Seiense Foundtion Aeronautics.

摘　　要：A trans-scopic sensitivity of macroscopic failure to slight differentiation in the meso-scopic structure of a system with nonlinear evolution is reported. A periodical chain following a non-local load-sharing evolution was applied as a propotype in failure study. The results demonstrate that there is a transition region composed of globally stable (GS) and evolution induced catastrophic (EIC) modes. That is different from a critical threshold as ptedicted by percolation and renormalization group theories. Moreover, the EIC mode shows a distinctive sample specific behaviour. For instance, some neighbouring initial states may evolve into completely different final states, though different initial states can evolve into the same final states. As an example, a marginal configuration of EIC mode, a quast-Fibonacci skeleton, is constructed.A trans-scopic sensitivity of macroscopic failure to slight differentiation in the meso-scopic structure of a system with nonlinear evolution is reported. A periodical chain following a non-local load-sharing evolution was applied as a propotype in failure study. The results demonstrate that there is a transition region composed of globally stable (GS) and evolution induced catastrophic (EIC) modes. That is different from a critical threshold as ptedicted by percolation and renormalization group theories. Moreover, the EIC mode shows a distinctive sample specific behaviour. For instance, some neighbouring initial states may evolve into completely different final states, though different initial states can evolve into the same final states. As an example, a marginal configuration of EIC mode, a quast-Fibonacci skeleton, is constructed.

关 键 词：EVOLUTION INDUCED CATASTROPHE CONTINGENT sensitivity. 

分 类 号：N[自然科学总论]