岩石材料微、细、宏观断裂机理尺度效应的分形研究  

Fractal study of scale effect in microscopic,mesoscopic and macroscopic states for fracture mechanism of rock materials

作　　者：刘传孝[1] 蒋金泉[2] 刘福胜[1] 王素华[1] 

机构地区：[1]山东农业大学水利土木工程学院,泰安271018 [2]山东科技大学泰安校区,泰安271019

出　　处：《岩土力学》2008年第10期2619-2622,共4页Rock and Soil Mechanics

基　　金：山东省优秀中青年科学家科研奖励基金(No.2006BS08022);山东农业大学青年科技创新基金(2005)

摘　　要：基于同一现场不同尺度的岩石材料,从大量三轴MTS试验岩石断口边痕、试样切割面或磨光面的节理痕迹和现场断裂迹线3个尺度层次,进行了岩石材料微、细、宏观断裂机理尺度效应的分形研究。提出圆与正方形相耦合的分形维数算法,探讨了其优越性并应用于岩石断裂的分形特征研究,得到岩石材料的微、细、宏观断裂机理存在无标度区域。在无标度区0.002mm～4000mm内,岩石断裂构造的分布规律具有自相似性,是岩石材料的微、细、宏观断裂机理内在联系的外在反映,为跨越尺度界限研究岩石节理裂隙的破坏机理提供了可行途径。Based on rock with different scales on one site, scale effects on its fracture mechanism are studied in three scales of microscopic, mesoscopic and macroscopic states by rent edge tracking by triaxial rock material test system, crack line in cut plane or abrasive plane of rock specimens and breakage line of rock mass on site respectively. Method of coupling circle and square to calculate the fractal dimension is forward, whose superiorities are discussed and used to study fractal feature of rock fracture. There is a non-scale zone of 0.002--4 000 mm for studying fracture mechanism of rock in microscopic, mesoscopic and macroscopic scales. In the non-scale zone, self-similarity of distributing law of fracture structures is outer reflection of inner fracture mechanism of rock in every state. The results provide a possible method to study failure mechanism of jointed and fractured rock beyond scale limit.

关 键 词：微观 细观 宏观 断裂机理 尺度效应 分形 标度区 

分 类 号：O346.1[理学—固体力学]