岩石空隙变化及其变形全过程的统计损伤模拟方法  

Voids Change and Statistical Damage Simulation Method of the Full Deformation Process for Rocks

作　　者：曹文贵[1] 张超[1] 贺敏[1] 刘涛[1] 

机构地区：[1]湖南大学岩土工程研究所,湖南长沙410082

出　　处：《湖南大学学报（自然科学版）》2017年第9期100-106,共7页Journal of Hunan University:Natural Sciences

基　　金：国家自然科学基金资助项目(51378198);高等学校博士学科点专项科研基金资助项目(20130161110017)~~

摘　　要：针对因空隙(包括初始和次生空隙)变化引起岩石变形呈现高度非线性的特征,首先将岩石视为由颗粒骨架和空隙两部分组成,并采用宏观与微观分析相结合的方法,建立岩石应力与应变分别在宏观与微观方面的关系,从而揭示空隙岩石变形力学机理,为模拟岩石变形全过程奠定了基础;然后,在此研究基础上依据Lemaitre应变等价性原理,建立考虑空隙变化影响的新型岩石损伤模型,引入统计损伤理论进而建立能够模拟岩石变形全过程的统计损伤本构模型并给出了参数确定方法.该模型不仅能反映岩石的应变软化特性,而且还能反映因空隙压缩引起的岩石变形的非线性特征;最后,通过实例分析,将本文及同类模型的理论曲线与实测曲线进行对比分析,表明了本文模型与方法的合理性与优越性.According to the highly nonlinear deformation characteristic of rocks caused by the change of voids （including initial and secondary voids）, firstly, rocks can be regarded as composed of two parts： particle skeleton and voids. Then the relationships between macroscopic and microscopic aspects in stress and strain of rocks were developed by combining macro-analysis and micro-analysis respectively, which have revealed the deformation mechanism of voids rocks and have provided a theoretical basis for the simulation of the full deformation process of rocks.Afterwards, based on these researches, a new damage model considering the effect of voids change was established by Lemaitre＇s hypothesis of strain equivalence, and then a statistical damage constitutive model stimulating the full deformation process for rocks was thus proposed by introducing statistical damage theory and the methods for determining its parameters was simultaneous- ly given.This model can reflect not only the property of strain softening but also the nonlinear deformation characteristic of rocks caused by voids compression.Finally, through example analysis and comparison between the measured curves and the theoretical curves for this paper and similar models, the rationality and superiority of this model and methods have been indicated.

关 键 词：岩石 空隙变化 统计损伤理论 本构模型 非线性变形 

分 类 号：TU452[建筑科学—岩土工程]