地球物理学进展 ›› 2019, Vol. 34 ›› Issue (3): 1214-1220.doi: 10.6038/pg2019CC0176

• 应用地球物理学Ⅱ(海洋、工程、环境、仪器等) • 上一篇    下一篇

基于SPH法的单轴压缩岩样破坏过程中应变局部化和能量释放数值模拟

王学滨1,2,白雪元2,舒芹2   

  1. 1. 辽宁工程技术大学计算力学研究所,辽宁阜新 123000
    2. 辽宁工程技术大学力学与工程学院,辽宁阜新 123000
  • 收稿日期:2018-07-19 修回日期:2019-04-17 出版日期:2019-05-20 发布日期:2019-07-10
  • 作者简介:王学滨,男,1975年生,博士,教授,主要从事工程材料变形、破坏及稳定性方面的研究工作.(E-mail: wxbbb@263.net)
  • 基金资助:
    国家自然科学基金项目(51574144);辽宁省百千万人才工程项目(2017)

Numerical simulation of strain localization and released elastic strain energy during failure processes of rock specimens in uniaxial compression based on SPH method

WANG Xue-bin1,2,BAI Xue-yuan2,SHU Qin2   

  1. 1. Institute of Computational Mechanics, Liaoning Technical University, Liaoning Fuxin 123000, China
    2. College of Mechanics and Engineering, Liaoning Technical University, Liaoning Fuxin 123000, China
  • Received:2018-07-19 Revised:2019-04-17 Online:2019-05-20 Published:2019-07-10

摘要:

本文采用自主编写的光滑粒子流体动力学法程序,在平面应变单轴压缩条件下,开展了非均质岩石试样破坏过程中剪切带、声发射数及应变能释放量的演变规律研究,探讨了形状参数和Weibull分布函数的定位参数的影响,而过去的研究更多地关注形状参数的影响.仅粒子的黏聚力被认为服从Weibull分布.当粒子破坏后,粒子的黏聚力跌落至残余值,在此过程中,最大主应力(即第3主应力)保持不变.得到了下列结果.随着定位参数的增加,破坏粒子的分布由弥散向集中转变,岩样的纵向应力峰值增加.每20个时步数目的全局最大声发射数和全局最大应变能释放量均发生在峰后应力迅速跌落过程中,与二者有关的8个量随形状参数或定位参数的演变规律较为复杂,这应与岩样破坏形态的多样性有关.

关键词: 岩石试样, 光滑粒子流体动力学方法, 单轴压缩, 黏聚力, Weibull分布, 剪切带, 声发射, 应变能释放

Abstract:

Using smoothed particle hydrodynamics codes developed by us, evolution of shear bands, acoustic emission events and released elastic strain energy during failure processes of rock specimens in plane strain uniaxial compression were studied. Effects of the shape parameter and the location parameter in the Weibull distribution function are discussed. However, the previous studies more pay attention to effects of the shape parameter. After a particle fails, its cohesion reaches its residual value. During this process, the major principal stress (i.e., the third principal stress) remains constant. The following results are obtained. With an increase of the location parameter, the distribution of failed particles changes from scattered to concentrated, and the peak longitudinal stress of the rock specimen increases. The global maximum counts of acoustic emission events and the released elastic strain energy per twenty time steps occur during the rapid stress drop. Eight quantities related to two quantities mentioned above exhibit complex changes increases of the shape and location parameters, which is possibly due to the complex failure patterns of cock specimens.

Key words: Rock specimen, Smoothed Particle Hydrodynamics (SPH) method, Uniaxial compression, Cohesion, Weibull distribution, Shear band, Acoustic emission, Released elastic strain energy

中图分类号: