Safety classification evaluation of an overall structure based on limited primitive cell level using renormalization group theory
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    Abstract:

    The study subject of the renormalization group theory is supposed to have a scaleless property in theory. In other words, the primitive cell level tends to be infinite. However, the level cannot be set at a very high value in actual engineering projects. In order to solve this problem, comparative studies of damage probability of limited primitive cell levels were carried out using the percolation model, the fault rupture model, the rock breaking model, and the structural damage probability model of a triangular prism unit for a gravity dam based on the renormalization group theory. The results of iterative computations show that level 3 of a primitive cell or three iterations can be applicable to actual engineering projects. A safety evaluation classification method for an overall structure is proposed based on the damage probability of a primitive cell of level 3. The steps of determing the overall safety of a gravity dam using the triangular prism model are presented. According to the key points and fixed points of the damage probability, three safety states of the overall structure were classified as follows: (a)a safe state; (b)an intermediate state, between safey and overall collapse; and(c)an overall collapse state.

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顾培英,邓昌,汤雷.基于重整化群有限原胞级整体安全性分级评价[J].河海大学学报(自然科学版),2014,42(4):355-360.(GU Peiying, DENG Chang, TANG Lei. Safety classification evaluation of an overall structure based on limited primitive cell level using renormalization group theory[J]. Journal of Hohai University (Natural Sciences),2014,42(4):355-360.(in Chinese))

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History
  • Received:May 31,2013
  • Revised:
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  • Online: May 20,2015
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