›› 2017, Vol. 38 ›› Issue (4): 1089-1096.doi: 10.16285/j.rsm.2017.04.021

• 基础理论与实验研究 • 上一篇    下一篇

河津凝灰岩广义应力松弛特性及数值模拟研究

张海龙1, 2,许 江1,大久保诚介1,羽柴公博3,福井胜则3,彭守建1   

  1. 1. 重庆大学 煤矿灾害动力学与控制国家重点实验室,重庆 400044;2. 重庆文理学院 建筑工程学院,重庆 402160; 3. 东京大学 工学系,日本 东京113-8656
  • 收稿日期:2015-04-20 出版日期:2017-04-11 发布日期:2018-06-05
  • 作者简介:张海龙,男,1980年生,博士,讲师,主要从事岩石流变特性及地下工程方面的研究工作。
  • 基金资助:

    重庆市基础与前沿研究一般项目(No. cstc2014jcyjA0994);重庆市教委科学技术项目(No.KJ1711271);国家自然科学基金面上项目(No. 51474040)。

Generalized relaxation properties and numerical simulation of Kawazu tuff

ZHANG Hai-long1, 2, XU Jiang1, OKUBO Seisuke1, HASHIBA Kimihiro3, FUKUI Katsunori3, PENG Shou-jian1   

  1. 1. State Key Laboratory of Coal Mine Disaster Dynamics and Control, Chongqing University, Chongqing 400044, China; 2. School of Civil Engineering and Architecture, Chongqing University of Arts and Sciences, Chongqing 402160, China; 3. Department of Systems Innovation, The University of Tokyo,113-8656, Japan
  • Received:2015-04-20 Online:2017-04-11 Published:2018-06-05
  • Supported by:

    This work was supported by the Project of Study on the Basic and Frontier of Chongqing (cstc2014jcyjA0994),the Science and Technology of Chongqing Municipal Education Commission(KJ1711271) and the National Natural Science Foundation of China (51474040).

摘要: 在很多地下工程实践中,岩体既不是纯蠕变,也不是纯应力松弛,而是随着时间的增加,应力和应变同时发生变化,表现出时间依存性,导致岩体最终破坏,这种现象用一般的蠕变和应力松弛很难解释清楚。全面系统地阐述了广义应力松弛特性及其工程物理意义,借用非线性Maxwell模型,求解了广义应力松弛条件下可变模量本构方程解析解,特别提出了通过交替荷载速率试验和加、卸载试验,精确求解峰前区域荷载速率依从性系数n1的新方法。进行了70%和90%应力水平下广义应力松弛试验,并讨论和分析了不同应力水平、不同方向系数下广义应力松弛试验的时间依存性,最后用基于非线性Maxwell模型的可变模量本构方程对70%和90%应力水平下的广义应力松弛试验进行了数值模拟,结果表明,计算和试验结果一致性较好,很好地解释了河津凝灰岩广义应力松弛特性。

关键词: 河津凝灰岩, 本构方程, 荷载速率依存性, 广义应力松弛, 数值模拟

Abstract: In many practices of underground engineering, rock mass is subjected to neither pure creep nor pure relaxation. In fact, both stress and strain change with the lapse of time, and thus rock mass has time-dependent property, which eventually lead to fracture of rock mass. It is hard to exhaustively explain this phenomenon by creep and relaxation. This study comprehensively describes the characteristics of generalized stress relaxation and the significance of engineering practices. Non-linear Maxwell model is applied to solve the exact solutions of variable compliance type constitutive equation under the generalized relaxation condition. In particular, we obtain the accurate value of parameter-n1 which governs the time-dependent behavior in the pre-failure region by alternately loading rate and loading-unloading tests. Generalized relaxation tests are carried out under 70% and 90% stress levels, and the time-dependent behavior under different stress levels and different direction coefficients are also discussed. Finally, experimental results of generalized relaxation under 70% and 90% stress levels are numerically simulated by the variable-compliance-type constitutive equation based on the non-linear Maxwell model. Calculated results are good agreement with experimental data, and the properties of generalized relaxation of Kawazu tuff are well explained.

Key words: Kawazu tuff, constitutive equation, loading rate-dependence, generalized relaxation, numerical simulation

中图分类号: 

  • TU 452

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