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力学与实践 ›› 2018, Vol. 40 ›› Issue (1): 51-55.doi: 10.6052/1000-0879-17-201

• 应用研究 • 上一篇    下一篇

考虑残余强度影响的岩石损伤本构模型

张慧梅1, 刘小宁1, 彭川1, 杨更社2, 叶万军2, 申艳军2, 刘慧2   

  1. 1.西安科技大学力学系, 西安 710054;
    2.西安科技大学 建筑与土木工程学院, 西安 710054
  • 出版日期:2018-02-15 发布日期:2018-03-26
  • 作者简介:张慧梅,博士,教授,主要从事力学与岩土工程方面的教学与研究工作. E-mail:zhanghuimei68@163.com
  • 基金资助:
    国家自然科学基金项目(11172232, 51774231, 41772333)和陕西省重点科技创新团队计划项目(2014KCT-30)资助.

A DAMAGE CONSTITUTIVE MODEL OF ROCK WITH CONSIDERATION OF RESIDUAL STRENGTH

ZHANG Huimei1, LIU Xiaoning1, PENG Chuan1, YANG Gengshe2, YE Wanjun2, SHEN Yanjun2, LIU Hui2   

  1. 1.Department of Mechanics, Xi'an University of Science and Technology,Xi'an 710054, China;
    2.College of Architecture and Civil Engineering, Xi'an University of Science and Technology, Xi'an 710054, China
  • Online:2018-02-15 Published:2018-03-26

摘要: 基于岩石微元强度服从Weibull分布规律,引入损伤变量修正因子,建立了考虑残余强度影响的岩石损伤本构模型.运用多元函数求极值的方法,推导了含修正系数的模型参数\(m\)和\(F_{0}\)的理论表达式;对模型修正因子的选取进行了讨论分析. 结果表明:本文修正模型的实质是增加了一个含有修正系数的线性项;修正系数 \(\delta \)主要反映岩石的残余强度特征,选取合适的 \(\delta \) 值可以提高修正后本构模型的准确性.

关键词: 损伤|残余强度|本构模型|模型参数|修正因子

Abstract: A rock damage constitutive model with consideration of residual strength is established,based on the strength of rock micro elements and the Weibull distribution law, and the damage variable correction factor is discussed.Using multivariate functions to obtain the extreme values,the theoretical expressions of model parameters \(m\) and \(F_0\) are derived with consideration of correction coefficients. The model consists of an addition of a linear term of correction coefficients; the correction factor \(\delta\) reflects the characteristics of the residual strength of the rock, to improve the accuracy of the modified constitutive model with an appropriate value of \(\delta\).

Key words: damage|residual strength|constitutive model|model parameters|correction factor

中图分类号: 

  • TU452