基础理论与实验研究

三维高静载频繁动态扰动时岩石损伤特性及本构模型

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  • 1. 河南理工大学 能源科学与工程学院,河南 焦作 454000;2. 中南大学 资源与安全工程学院,湖南 长沙 410083
王春,男,1986年生,博士,讲师,主要从事岩石冲击动力学、采矿工艺方面的研究工作

收稿日期: 2016-07-21

  网络出版日期: 2018-06-05

基金资助

国家自然科学基金资助项目(No. 51474250);国家重点基础研究发展计划(973)资助项目(No. 2010CB732004)。

Damage characteristics and constitutive model of rock under three- dimensional high static load and frequent dynamic disturbance

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  • 1. School of Energy Science and Engineering, Henan Polytechnic University, Jiaozuo, Henan 454000, China; 2.School of Resources & Safety Engineering, Central South University, Changsha, Hunan, 410083, China

Received date: 2016-07-21

  Online published: 2018-06-05

Supported by

This work was supported by the National Natural Science Foundation of China (51474250) and the National Program on Key Basic Research Project of China (973 Program) (2010CB732004).

摘要

采用改进的SHPB试验装置,进行深部岩石的三维高静载频繁动态扰动试验,分析动态应力-应变曲线的一般特征,可将其细分为微裂纹稳定发展、微裂纹非稳定发展、疲劳损伤、疲劳破坏4个阶段进行描述,其中峰值后的2个阶段处于动态应力卸载过程。基于连续因子、应变等效原理及统计损伤理论定义岩石的损伤变量并推演损伤演化方程,采用组合模型法建立岩石的本构模型。结合试验数据,验证岩石的损伤演化规律及建立的本构模型,结果表明:利用推演的损伤演化方程计算出损伤变量,其与动态应变的关系曲线符合试验中岩样的损伤规律;建立本构方程的拟合曲线与试验曲线具有较好的一致性,说明建立的本构模型可以用来预测深部岩石处于三维高静载频繁动态扰动时的动力学特性。

本文引用格式

王 春,唐礼忠,程露萍,陈 源,刘 涛,韦永恒, . 三维高静载频繁动态扰动时岩石损伤特性及本构模型[J]. 岩土力学, 2017 , 38(8) : 2286 -2296 . DOI: 10.16285/j.rsm.2017.08.017

Abstract

Using a modified split Hopkinson pressure bar (SHPB), the tests were conducted on deep rocks under three-dimensional (3D) high-static load and frequently dynamic disturbance. Then dynamic stress-strain curves were obtained for describing general features, which can be divided into four stages, namely, steady development of microcracks, non-stable development of microcracks, fatigue damage, and fatigue destruction. Particularly, two stages after the peak value were in the dynamic stress unloading process. Based on the continuous divisor, strain equivalent principle and statistic damage principle, a fatigue variable of rock was defined and a damage evolution equation was deduced. Then, a combination model was adopted to establish a damage constitutive model. Compared with testing data, a damage evolution law of rock and the established damage constitutive model were verified. The damage variable was also calculated using the deduced damage evolution equation. Experimental results show that the relevant curves between the damage variable and dynamic strain conform to damage law of rock samples. It is also found that the established fitting curves of constitutive equations show comparatively good agreement with experimental curves. Hence, it indicates that the established damage constitutive model can be used to predict dynamic mechanical characteristics of deep rock under 3D high-static load and frequently dynamic disturbance.
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