岩石变形破坏的熵突变过程与破坏判据

›› 2007, Vol. 28 ›› Issue (12): 2506-2510.

岩石变形破坏的熵突变过程与破坏判据

周翠英¹，张乐民²

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

收稿日期:2005-11-25 出版日期:2007-12-10 发布日期:2013-10-18
作者简介:周翠英，女，1963年，教授，博士，博士生导师，从事岩土工程的教学与研究工作
基金资助:
国家自然科学基金（No. 59809008，40672194）；广东省自然科学基金重点项目（No.013188，06104932）；教育部博士学科点基金项目（No.20060558060）和广东省科技攻关十五重点专项（No. 2001B30903）国家自然科学基金（No. 59809008）；广东省自然科学基金重点项目（No. 013188）；广东省科技攻关十五重点专项（No. 03188）东深供水改造工程建设总指挥部委托（No.DSGZ-KJ-020; No.DSGZ-KJ-021）资助。

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

ZHOU Cui-ying¹, ZHANG Yue-min²

1.Department of Applied Mechanics and Engineering and Research Center for Underground Engineering and Information Technology, Guangzhou 510275, China; 2. Department of Earthsciences, Guangzhou 510275, China

Received:2005-11-25 Online:2007-12-10 Published:2013-10-18

摘要/Abstract

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。

关键词: 岩石系统, 变形破坏, 熵突变, 屈服准则, 破坏判据

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.

Key words: rock system, deformation and failure, entropy catastrophe, yield rule, failure criterion

中图分类号:

TU 45

周翠英，张乐民. 岩石变形破坏的熵突变过程与破坏判据[J]. , 2007, 28(12): 2506-2510.

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): 2506-2510.

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