Research on entropy catastrophic regularity and failure criterion in the deformation and failure process of rocks

ZHOU Cui-ying; ZHANG Yue-min

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Research on entropy catastrophic regularity and failure criterion in the deformation and failure process of rocks

更新时间：2026-06-25

- Research on entropy catastrophic regularity and failure criterion in the deformation and failure process of rocks
- Vol. 28, Issue 12, (2007)
- 作者机构：
  
  1. 中山大学应用力学与工程系地下工程与信息技术研究中心,广州,510275
  2. 中山大学地球科学系地下工程与信息技术研究中心,广州,510275
- 作者简介：
- 基金信息：
- DOI：
  CLC： TU45
- Online First：18 October 2013，
  
  Published：2007
- 稿件说明：
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ZHOU Cui-ying, ZHANG Yue-min. Research on entropy catastrophic regularity and failure criterion in the deformation and failure process of rocks[J]. 2007, 28(12).
DOI：

ZHOU Cui-ying, ZHANG Yue-min. Research on entropy catastrophic regularity and failure criterion in the deformation and failure process of rocks[J]. 2007, 28(12). DOI：

摘要

在岩石的变形破坏过程中，当进入不稳定的破裂发展阶段之后，系统不断调整结构抵抗外力的扰动，裂纹向局域集中的有序方向发展，应变能不断耗散，并以应变能的耗散为媒介，使系统与外扰动所追加的负熵流产生能量流通，也使系统熵值和系统的维数逐次降低，这一阶段岩石系统远离平衡态，岩石的破坏是系统熵的突变过程。基于这一认识，并在验证应变能分布与结构块度分布模式的一致性的基础上，推导出包含了结构因素和能量分布的熵表达式；对熵表达式进行平衡分析获得局部突变的分岔集，得到了岩石局部破坏的熵折迭突变破坏准则；同时，探讨了熵表达式所表征的结构有序度的尖点突变性，解出岩石系统的分岔集，这个分岔集就是岩石系统熵突变的整体破坏准则。

Abstract

It is well known that in the deformation and failure process of rocks

a rock system will constantly readjusts its structure to resist the external pressure when it develops to an unstable crack propagation period. Thus

the cracks are gradually concentrated to a local area orderly; and the strain energy is continuously dissipated. The system will have an energy circulation with the negentropy flow that is produced and added by an external disturbing. At the same time

the entropy of the system

which shows the chaotic degree of the structure and energy

is decreased; meanwhile

the dimension of the system shows that the uniform degree of the structure and spatial distribution of energy is decreased too. The rock system is far from the equilibrium state in this period; and the failure process means a catastrophic process of the system entropy. Based on the realization which is discussed above

the paper derives an entropy equation which contains structural factors and energy distribution on the basis of testifying the uniform of strain energy distribution and structural block distribution mode. By giving an equilibrium analysis of the entropy equation

the bifurcation set shows the local catastrophe is obtained; so

the entropy fold catastrophic failure criterion shows a local failure of rocks is obtained. Meanwhile

the cusp-catastrophe represents the degree of order of rock structure by entropy equation is discussed; By finding the solution of the bifurcation set of a rock system

the bifurcation set is the integrated failure criterion which is shown the entropy catastrophe of a rock system.

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