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岩石声发射混沌特征分析
引用本文:周小平,刘庆义.岩石声发射混沌特征分析[J].岩土力学,2010,31(3):815-820.
作者姓名:周小平  刘庆义
作者单位:重庆大学,土木工程学院,重庆,400045
基金项目:国家自然科学基金项目资助,教育部新世纪优秀人才支持计划,重庆市杰出青年科学基金 
摘    要:岩石等脆性材料在加载过程中,随着荷载的增加,材料内部的微裂纹产生、扩展并伴随着声发射现象的发生。声发射是研究脆性材料破坏的良好工具。对砂岩、细砂岩和高丽山砂岩3类岩石进行了声发射试验,记录了加载及破坏过程中产生的声发射信号,并且采用混沌动力学理论研究了3类岩石的声发射活动规律,计算了岩石的关联维数和最大Lyapunov指数。研究结果表明,岩石加载及破坏过程具有混沌特征,用相空间重构法可以较好地揭示岩石破坏过程的动力学特征,这为混沌理论在岩石、岩体声发射其他领域的研究及应用奠定了基础。

关 键 词:岩石声发射  混沌  关联维数  最大Lyapunov指数
收稿时间:2008-08-27

Research on chaotic characteristics of rock acoustic emission
ZHOU Xiao-ping,LIU Qing-yi.Research on chaotic characteristics of rock acoustic emission[J].Rock and Soil Mechanics,2010,31(3):815-820.
Authors:ZHOU Xiao-ping  LIU Qing-yi
Institution:College of Civil Engineering, Chongqing University, Chongqing 400045,China
Abstract:Acoustic emission (AE), which is produced with the load increasing, is a ubiquitous phenomenon associated with brittle fracture in many brittle materials such as rock .AE technique is better than other methods in researching failure of brittle materials. AE is tested in rock specimen under loading and breakage, and the signal of AE is recorded. Action laws of AE in rocks are studied by using chaotic kinetics. According to the recorded experimental data, the correlation dimension and the maximum Lyapunov exponents are calculated. It is shown from numerical results that the loading and failure process of rock possesses chaotic characteristics. Based on the theory of phase space reconstruction, it is well revealed their kinetic characteristics during the failure process. It is a basis for applying chaos theory to research rock acoustic emission.
Keywords:rock acoustic emission  chaos  correlation dimension  maximum Lyapunov exponent
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