›› 2009, Vol. 30 ›› Issue (2): 289-296.

• 基础理论与实验研究 •    下一篇

基于试验的花岗岩渐进破坏本构模型研究

刘泉声1, 2,胡云华1,刘 滨1   

  1. 1. 中国科学院武汉岩土力学研究所 岩石力学与工程国家重点实验室,武汉 430071;2. 山东科技大学 土木建筑学院,青岛 266510
  • 收稿日期:2008-01-27 出版日期:2009-02-10 发布日期:2011-01-27
  • 作者简介:刘泉声,男,1962年生,博士,教授,博士生导师,主要从事岩土工程方面的研究工作。
  • 基金资助:

    国家自然科学基金重点项目(No.90510059)。

Progressive damage constitutive models of granite based on experimental results

LIU Quan-sheng 1, 2, HU Yun-hua1, LIU Bin1   

  1. 1. State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan 430071, China; 2. College of Civil Engineering and Architecture, Shandong University of Science and Technology, Qingdao 266510, China
  • Received:2008-01-27 Online:2009-02-10 Published:2011-01-27

摘要:

对取自大渡河流域大岗山电站的花岗岩进行了系统的试验研究,得到了不同围压下的应力-应变曲线。根据岩样受力过程中内部微裂纹的活动状态,定义了4个特征应力,即闭合应力、起裂应力、破损应力、峰值应力,来反映花岗岩的渐进破坏过程,特征应力也反映了岩石内部的损伤程度。依据特征应力,将试验曲线分为4个阶段,并对每一阶段分别求取变形模量和泊松比。结果表明,变形模量不仅与围压有关,且与岩石的损伤程度有关,而泊松比只取决于岩石的损伤程度。特征应力可由体积应变曲线结合线性回归技术准确求取。在此基础上,提出了一个考虑花岗岩渐进破坏的本构模型。在该模型中,变形参数(弹性模量、泊松比)是应力状态的函数,强度参数(凝聚力、内摩擦角)是塑性变形的函数。将该模型嵌入大型有限元分析软件ABAQUS,对不同围压下的花岗岩室内压缩试验进行模拟,结果表明,模拟所得的应力-应变曲线与试验曲线的吻合程度较高,模型能反映花岗岩等脆性岩石的峰前非线性力学行为。

关键词: 渐进破坏, 特征应力, 本构模型, ABAQUS数值模拟

Abstract:

Systematic experimental studies of granite from Dagangshan Hydropower Station were made and a series of stress-strain curves under different confining pressures were obtained. According to the active state of the microcracks existing in rock samples during the process in which the samples are loaded, four stress thresholds are defined, i.e. closure stress, initiation stress, damage stress and peak stress. These stress thresholds can represent the progressive damage process of granites and reflect the damage extent of rock samples. The pre-peak stress-strain curves can be divided into four stages in terms of character stresses. Deformation modulus and Poisson’s ratio should be calculated for each stage. It should be noted that the deformation modulus is not only related to the confining pressure but also to extent of damage of granites; and the Poisson’s ratio is only related to the rock’s extent of damage. Stress thresholds can be identified by volume strain-axial strain curve and linear regression technique. A constitutive model for granites in consideration of progressive damage is advised. In this model, the deformation parameters (deformation modulus and Poisson’s ratio) is regarded as function of stress and the strength parameters(cohesion and internal friction angle) is function of plastic strain. The model is embedded into general finite element software ABAQUS and a series of triaxial compression tests with different confining pressures are simulated. The results show that the simulated curves are close to the experimental curves; and the model can represent the nonlinear mechanical behavior of granite before its peak strength is reached.

Key words: progressive damage, character stress, constitutive model, numerical simulation with ABAQUS

中图分类号: 

  • TU 443
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