(1. 山東科技大學(xué) 力學(xué)與工程科學(xué)系，泰安 271019；
2. 中國科學(xué)院 武漢巖土 力學(xué)研究所，武漢 430071；
3. 東北大學(xué) 資源與土木工程學(xué)院，沈陽 110004)
摘 要: 根據(jù)巖石的細(xì)觀非均質(zhì)特征，從基本的能量傳遞規(guī)則出發(fā)，建立了一種新的物理元胞自動(dòng)機(jī)PCA理論，它能夠?qū)r石等細(xì)觀非均質(zhì)材料破壞演 化 過程中的聲發(fā)射及混沌性進(jìn)行有效模擬。經(jīng)對較均質(zhì)的粗面巖與較不均質(zhì)的花崗巖AE混沌性模擬結(jié)果表明，其最大Lyapounov指數(shù)分別為0.45和0.623，即非均質(zhì)性越強(qiáng)，混沌性就越強(qiáng)，對其巖石破壞力學(xué)行為的預(yù)測就越困難。模擬得到的聲發(fā)射曲線與Mogi.K的實(shí)驗(yàn)結(jié)果基本吻合。PCA模型突破了傳統(tǒng)元胞自動(dòng)機(jī)模型僅限于數(shù)學(xué)意義上的運(yùn)算規(guī)則，發(fā)展成為一種研究巖石破壞演化過程中聲發(fā)射規(guī)律及非線性特征物理力學(xué)方法。
關(guān)鍵字: 聲發(fā)射；混沌；物理元胞自動(dòng)機(jī)
chaos in rock failure process
（1. Engineering Mechanics Department，Shandong University of
Science and Technology，Tai′an 271019，China;
2. Wuhan Institute of Rock and Soil Mechanics,
The Chinese Academy of Science，Wuhan 430071，China;
3. College of Resource and Civil Engineering，Northeastern University，
Shenyang 110004，China）
Abstract:Based on the physical and mechanical characters of micro-heterogeneous material as rock，a new theory of physical cellular automaton (PCA) which can simulate acoustic emission and chaos in the failure evolving proces of micro-heterogeneous rock is setup，according to the energy transfer law. With simulating for homogeneous grit and heterogenous granite by PCA，the Lyapunov exponents are 0.45 and 0.623. Therefore，the larger heterogenous of rock，the stronger chaotic of mechanical behavior，this leads to much more difficult to predict the rock failure evolving process. The AE simulating results by PCA accord with the Mogi's laboratory results perfectly. PCA breaks through the mode of classical cellular automaton only is used as a mathematical operation and is developed to an effectively physical and mechanical method.
Key words: acousticemssion; chaos; physical cellular automaton
