Research on consistency of nonlinear evolution models and unity of failure criteria for tunnel

LIU Zhen; ZHOU Cui-ying; FANG Ming

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Research on consistency of nonlinear evolution models and unity of failure criteria for tunnel

更新时间：2026-06-25

- Research on consistency of nonlinear evolution models and unity of failure criteria for tunnel
- Vol. 33, Issue 5, (2012)
- 作者机构：
  
  1. 中山大学海洋学院,广州,510275
  2. 中山大学岩土工程与信息技术研究中心,广州,510275
  3. 中山大学工学院,广州,510275
- 作者简介：
- 基金信息：
- DOI：
  CLC： U455
- Online First：14 May 2012，
  
  Published：2012
- 稿件说明：
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LIU Zhen, ZHOU Cui-ying, FANG Ming. Research on consistency of nonlinear evolution models and unity of failure criteria for tunnel[J]. 2012, 33(5).
DOI：

LIU Zhen, ZHOU Cui-ying, FANG Ming. Research on consistency of nonlinear evolution models and unity of failure criteria for tunnel[J]. 2012, 33(5). DOI：

摘要

隧道失稳破坏的动力学演化模型及其判据与能量演化模型及其判据是对同一系统分别从动力学过程与能量状态两个角度的描述与判别。从两种模型对围岩分区的描述出发，利用非线性动力学中的热力学熵S、Kolmogorov熵、关联维的关系，证明了两模型在空间上的一致性，并通过演化时间建立了两模型的联系，证明了其在时间上的一致性。根据两种判据分别描述不同演化阶段的稳定性状态，从其对系统演化阶段的划分出发，研究了隧道系统在一般发展条件与跳跃式发展条件下动力学判据与能量判据的统一性。上述研究相互验证了两种模型及判据，并进一步阐释了隧道失稳破坏的非线性机制，对隧道围岩稳定性的状态判别与控制具有一定指导意义。

Abstract

Nonlinear dynamics evolution model & criterion of tunnel and energy evolution model & criterion of tunnel are to describe and judge for the same system from dynamic process and energy state. From the description of two models to the zonal disintegration in surrounding rocks

the consistency of two models in space is proved by the relation between thermodynamic entropy S

Kolmogorov entropy and correlation dimension of nonlinear dynamics. The consistency of two models in time by the relation between evolution time of two models. According to the description of two failure criteria to stability state of different evolution stages

from division of system evolution stages by them

the unity of two failure criteria under the conditions of regular development and salutatory development is analyzed. This research more explained nonlinear mechanism of tunnel unstable failure while two models and criteria are validated each other. This research has a great significance for the stability judgment of surrounding rocks of tunnels.

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