基于正态分布修正的岩石损伤力学模型研究  

Study on Modified Damage Constitutive Model of Rock Based on Normal Distribution

作　　者：温韬[1] 刘佑荣[1] 唐辉明[1] 王康[1] 谭钦文[1] 易贤龙[1] 

机构地区：[1]中国地质大学工程学院,湖北武汉430074

出　　处：《人民黄河》2015年第10期103-107,共5页Yellow River

基　　金：国家"973"计划项目(2011CB710603)

摘　　要：深入探讨了岩体变形损伤机制,从岩体损伤的过程出发,认为损伤部分可分为损伤材料和因材料损伤而变化的微缺陷,在此基础上提出新的损伤定义。通过岩体微观受力分析建立了岩体损伤模型,深入研究了岩体有效应力与名义应力的关系,引进统计损伤理论,以岩石微元强度服从正态分布确定岩石统计损伤演化方程。该模型能够充分反映岩体的应变软化特性和应变硬化特性,且参数物理意义明确;与实测结果及前人研究成果进行比较分析,说明模型合理、可行。Due to the insufficiency of damage model,on the basis of studying deeply deformation and damage mechanism of the rock mass,considering the process and phenomenon of the damage of rock mass,the damage part could be divided into two parts: the damaged material and micro defects due to the change of damaged material,then this paper put forward a new definition of damage. Besides,it proposed the impact factor γ which controlled the relationship between two parts and the method of determining the parameters. Next,a new rock damage model was established through the analysis of microscopic stress of rock. Moreover,on the basis of the analysis of the relationship between effective stress and nominal stress and the introduction of statistical damage theory,this paper established a statistical damage constitutive model of rock considering that micro-unit strength obeyed normal distribution. The model could well reflect the strain softening characteristic of rock mass and the strain hardening characteristic of rock mass,and the physical meanings of the model parameters were explicit. Finally,the rationality and feasibility of the model were identified through the comparative analysis of the existing research results and the previous results.

关 键 词：损伤 影响因子 岩石力学 正态分布 本构模型 

分 类 号：TV223.1[水利工程—水工结构工程]