岩石损伤统计本构模型研究  

Study on the Rock Statistical Damage Constitutive Model

作　　者：汤连生[1] 桑海涛[2,3] 宋晶[1] 罗珍贵 陈浩昆[1] 

机构地区：[1]中山大学地球科学与地质工程学院,广州 [2]中山大学工学院,广州 [3]广东省地质过程与矿产资源探查重点实验室,广州

出　　处：《力学研究》2014年第3期23-32,共10页International Journal of Mechanics Research

基　　金：国家自然科学基金资助项目(40872205);全国高等学校博士学科专项科研基金资助项目(20120171110031);广东省自然科学基金资助项目(07003738);广东省科技计划资助项目(2008B030303009)。

摘　　要：从岩石微裂隙等缺陷及随机分布的特点出发,建立岩石损伤统计本构模型,其核心在于科学地选取反映损伤程度的岩石微元强度度量方法、岩石内部损伤随机分布的形式以及模型参数。首先基于Lemaitre应变等价性假说建立了三维应力作用下岩石损伤本构方程,讨论了常用的M-C等3个岩石强度准则和Weibull分布等5个岩石微元强度概率模型。然后基于H-B强度准则和幂函数分布建立了岩石的损伤统计本构模型,并给出了相关参数的确定方法,借助引用的实例验证了本文所建模型和参数确定方法的有效性,最后建议了下一步研究的重点方向。To establish a rock statistical damage constitutive model taking the defects such as the rock mi-cro-cracks and the characteristics of their random distribution into account, the vital steps are to select a method scientifically to measure the rock micro-strength, which is capable of reflecting its damage conditions;as well as the pattern of randomly distributed damage in rock and the deter-mination of the model parameters. Firstly, a damage constitutive equation for rock under three dimensional stress conditions is established, in terms of the Lemaitre’s hypothesis of strain equi-valence;then discussions are presented in detail to address the frequently employed rock strength criterions such as M-C strength criterion and the rock micro-element strength probability models such as Weibull probability distribution. Based on the H-B criteria and the power function distribution, a statistical damage constitutive model for rock is proposed, and the method of de-termination for the relative model parameters is suggested;Furthermore, a case study is intro-duced to testify the validity of the constitutive model and the method to obtain the parameters which are proposed in this paper;at last, suggestions on the further research and its method are addressed.

关 键 词：岩石 强度准则 统计损伤 本构模型 

分 类 号：U4[交通运输工程—道路与铁道工程]