›› 2015, Vol. 36 ›› Issue (10): 2804-2814.doi: 10.16285/j.rsm.2015.10.009

• 基础理论与实验研究 • 上一篇    下一篇

基于宏细观损伤耦合的非贯通裂隙岩体本构模型

袁小清1,刘红岩1, 2,刘京平1   

  1. 1.中国地质大学(北京) 工程技术学院,北京 100083;2.西藏大学 工学院,西藏 拉萨 850000
  • 收稿日期:2015-01-08 出版日期:2015-10-10 发布日期:2018-06-13
  • 作者简介:袁小清,男,1991年生,硕士研究生,主要从事岩石力学方面的研究工作。
  • 基金资助:
    国家自然科学基金资助项目(No. 41002113,No. 41162009);中央高校基本科研业务专项资金项目(No. 2-9-2014-019)。

Constitutive model of rock mass with non-persistent joints based on coupling macroscopic and mesoscopic damages

YUAN Xiao-qing1, LIU Hong-yan1, 2, LIU Jing-ping1   

  1. 1. College of Engineering and Technology, China University of Geosciences, Beijing 100083, China; 2. School of Engineering, Tibet University, Lasa, Tibet 850000, China
  • Received:2015-01-08 Online:2015-10-10 Published:2018-06-13

摘要: 针对非贯通裂隙岩体工程结构中的受荷岩体,提出受荷细观损伤与裂隙宏观损伤的概念。以完整岩石的初始损伤状态作为基准损伤状态,综合考虑裂隙宏观缺陷的存在、微裂纹细观缺陷在受荷下的损伤扩展以及宏细观缺陷在受荷过程中的耦合,基于Lemaitre应变等效假设,推导了考虑宏细观缺陷耦合的复合损伤变量,并给出同时考虑试件尺寸、裂隙几何与力学特性的宏观损伤变量的计算公式,从而建立了基于宏细观缺陷耦合的非贯通裂隙岩体在荷载作用下的损伤本构模型。用宏细观损伤耦合的本构模型来描述非贯通裂隙岩体在受荷过程中的细观损伤演化与宏观损伤行为,与非贯通裂隙岩体实际受荷情况符合较好。研究结果表明:(1)完整岩样和裂隙岩样的应力-应变行为在峰值强度之前差异较大,峰值强度以后差异逐渐减小,最后趋于一致,二者具有相近的残余强度;(2)裂隙岩体强度随裂隙贯通率的增加而增大,随裂隙倾角的变化具有明显的各向异性,同时还与裂隙面的内摩擦角有关;(3)裂隙倾角为90°时,裂隙岩样的峰值强度最高;张开型裂隙岩样的裂隙倾角为45°时,峰值强度最低;(4)非贯通裂隙岩体工程结构中的受荷岩体,其力学性能由受荷细观损伤与裂隙宏观损伤及其耦合效应所决定,基于宏细观损伤耦合的复合损伤变量可以较好地反映非贯通裂隙岩样的力学特性。

关键词: 非贯通裂隙岩体, 宏观损伤, 受荷细观损伤, 损伤耦合, 应力强度因子, 本构模型

Abstract: To study characteristics of rock mass with non-persistent joints under loading in engineering structures, two conceptions are put forward, which are mesoscopic damage of loading and macroscopic damage with joints. The initial damage state of intact rock is defined as a basic state. A compound damage variable is deduced on the basis of the Lemaitre strain equivalence hypothesis, which considers the existence of macroscopic defect with joints, the damage propagation of mesoscopic defects, micro cracks, and the coupling actions of macro and meso-defects under loading. A new calculation formula of the macroscopic damage variable is derived simultaneously in terms of the specimen size, geometrical size of joints and mechanical properties of joints. Then, a damage constitutive model for rock mass with non-persistent joints is established based on coupling macroscopic and mesoscopic defects. This paper describes the evolution of mesoscopic damage and the behavior of macroscopic damage of rock mass with non-persistent joints under loading. The calculated results are in good agreement with the actual failure of rock mass. The results show that: (1) The stress-strain behaviors of fractured and intact rock samples show a significant difference prior to the peak strength. The difference gradually decreases after the peak strength. Finally, the residual stress tends to be equal. (2) The strength of fractured rock mass increases with the joint connectivity rate, and exhibits obvious anisotropy with the variation of joint inclination angle, and also is relevant to the internal friction angle of joints. (3) The peak strength of fractured rock samples is the highest at the joint inclination angle of 90°. While the peak strength is the lowest at the joint inclination angle of 45°for open-type fractured rock samples. (4) The mechanical properties of rock mass under loading in engineering structures are determined by the mesoscopic damage of loading, macroscopic damage with joints and their coupling effects. The coupling macroscopic and mesoscopic based compound damage variable may well characterize mechanical properties of rock mass with non-persistent joints.

Key words: rock mass with non-persistent joints, macroscopic damage, mesoscopic damage of loading, damage coupling, stress intensity factor, constitutive model

中图分类号: 

  • TU 452
[1] 金青, 王艺霖, 崔新壮, 王成军 , 张珂, 刘正银, . 拉拔作用下土工合成材料在风化料-废弃轮胎 橡胶颗粒轻质土中的变形行为研究[J]. 岩土力学, 2020, 41(2): 408-418.
[2] 邓子千, 陈嘉帅, 王建伟, 刘小文, . 基于SFG模型的统一屈服面本构模型与试验研究[J]. 岩土力学, 2020, 41(2): 527-534.
[3] 李潇旋, 李涛, 彭丽云, . 控制吸力循环荷载下非饱和黏性土 的弹塑性双面模型[J]. 岩土力学, 2020, 41(2): 552-560.
[4] 程昊, 唐辉明, 吴琼, 雷国平. 一种考虑水力滞回效应的非饱和土弹塑性扩展 剑桥本构模型显式算法有限元实现[J]. 岩土力学, 2020, 41(2): 676-686.
[5] 何鹏飞, 马巍, 穆彦虎, 黄永庭, 董建华, . 黄土−砂浆块界面剪切特性试验及本构模型研究[J]. 岩土力学, 2019, 40(S1): 82-90.
[6] 刘斯宏, 沈超敏, 毛航宇, 孙 屹. 堆石料状态相关弹塑性本构模型[J]. 岩土力学, 2019, 40(8): 2891-2898.
[7] 张超, 杨期君, 曹文贵. 考虑峰值后区应力跌落速率的 脆岩损伤本构模型研究[J]. 岩土力学, 2019, 40(8): 3099-3106.
[8] 张凌凯, 王睿, 张建民, 唐新军, . 考虑颗粒破碎效应的堆石料静动力本构模型[J]. 岩土力学, 2019, 40(7): 2547-2554.
[9] 汪俊敏, 熊勇林, 杨骐莱, 桑琴扬, 黄强. 不饱和土动弹塑性本构模型研究[J]. 岩土力学, 2019, 40(6): 2323-2331.
[10] 汪 杰, 宋卫东, 谭玉叶, 付建新, 曹 帅, . 水平分层胶结充填体损伤本构模型及强度准则[J]. 岩土力学, 2019, 40(5): 1731-1739.
[11] 孙逸飞, 陈 成, . 无状态变量的状态依赖剪胀方程及其本构模型[J]. 岩土力学, 2019, 40(5): 1813-1822.
[12] 杨骐莱, 熊勇林, 张 升, 刘干斌, 郑荣跃, 张 锋, . 考虑温度影响的软岩弹塑性本构模型[J]. 岩土力学, 2019, 40(5): 1898-1906.
[13] 李修磊, 李金凤, 施建勇, . 考虑纤维加筋作用的城市生活 垃圾土弹塑性本构模型[J]. 岩土力学, 2019, 40(5): 1916-1924.
[14] 杨石扣, 张继勋, 任旭华, . 基于改进数值流形法的接触裂纹问题研究[J]. 岩土力学, 2019, 40(5): 2016-2021.
[15] 张坤勇, 臧振君, 李 威, 文德宝, Charkley Frederick Nai, . 土体三维卸荷弹塑性模型及其试验验证[J]. 岩土力学, 2019, 40(4): 1313-1323.
Viewed
Full text


Abstract

Cited

  Shared   
  Discussed   
[1] 刘小文,常立君,胡小荣. 非饱和红土基质吸力与含水率及密度关系试验研究[J]. , 2009, 30(11): 3302 -3306 .
[2] 黄建华,宋二祥. 大型锚碇基础围护工程冻结帷幕力学性态研究[J]. , 2009, 30(11): 3372 -3378 .
[3] 王观石,李长洪,陈保君,李世海. 应力波在非线性结构面介质中的传播规律[J]. , 2009, 30(12): 3747 -3752 .
[4] 王朝阳,许 强,倪万魁. 原状黄土CT试验中应力-应变关系的研究[J]. , 2010, 31(2): 387 -391 .
[5] 邓 琴,郭明伟,李春光,葛修润. 基于边界元法的边坡矢量和稳定分析[J]. , 2010, 31(6): 1971 -1976 .
[6] 万少石,年廷凯,蒋景彩,栾茂田. 边坡稳定强度折减有限元分析中的若干问题讨论[J]. , 2010, 31(7): 2283 -2288 .
[7] 闫 铁,李 玮,毕雪亮. 基于分形方法的多孔介质有效应力模型研究[J]. , 2010, 31(8): 2625 -2629 .
[8] 徐维生,柴军瑞,陈兴周,孙旭曙. 岩体裂隙网络非线性非立方渗流研究与应用[J]. , 2009, 30(S1): 53 -57 .
[9] 赵尚毅,郑颖人,李安洪,邱文平,唐晓松,徐 俊. 多排埋入式抗滑桩在武隆县政府滑坡中的应用[J]. , 2009, 30(S1): 160 -164 .
[10] 魏厚振,颜荣涛,韦昌富,吴二林,陈 盼,田慧会. 含天然气水合物沉积物相平衡问题研究综述[J]. , 2011, 32(8): 2287 -2294 .