力学与实践 ›› 2020, Vol. 42 ›› Issue (6): 752-757.DOI: 10.6052/1000-0879-20-218

• 应用研究 • 上一篇    下一篇

岩石单轴压缩实验边界条件反演研究1)

吴佳宁*,2), 邢同振, 宋义敏*   

  1. *北方工业大学土木工程学院,北京 100144
    †北京理工大学宇航学院,北京 100081
  • 收稿日期:2020-05-22 修回日期:2020-07-13 出版日期:2020-12-20 发布日期:2020-12-20
  • 通讯作者: 2) 吴佳宁,硕士研究生,主要研究方向为岩石力学、地下工程等领域。E-mail: civilwjn@163.com
  • 基金资助:
    1) 国家自然科学基金资助项目(51774015)。

INVERSION OF BOUNDARY CONDITIONS FOR ROCK UNIAXIAL COMPRESSION EXPERIMENTS 1)

WU Jianing*,2), XING Tongzhen, SONG Yimin*   

  1. *School of Civil Engineering, North China University of Technology, Beijing 100144, China
    †School of Aerospace Engineering, Beijing Institute of Technology, Beijing 100081, China
  • Received:2020-05-22 Revised:2020-07-13 Online:2020-12-20 Published:2020-12-20

摘要: 基于有限元法和实测数据,反演了试件单轴压缩边界条件和弹性参数。首先,推导了参数反演方程组;其次,通过数字散斑相关方法,获取红砂岩试件表面位移场;最后,基于有限元法计算的网格节点位移与实测数据求解得到了试件的边界条件、弹性模量和泊松比。结果表明:(1)利用本文所发展的方法,实现了材料的边界条件和弹性参数反演。(2)反演得到试件弹性模量为18 GPa左右,并且加载后期逐渐稳定;泊松比随加载进行逐渐增大,量值在0.14~0.34之间。(3)由于岩石材料的非均质特性,导致在水平方向上,相邻节点外载荷的方向和量值大小具有一定差异。

关键词: 有限元, 数字散斑相关方法, 边界条件, 弹性模量, 泊松比

Abstract: Based on the finite element method and the measured data, the uniaxial compression boundary conditions and the elastic parameters of the specimen are obtained by inversion method. Firstly, the parameter inversion equations are derived. Secondly, the surface displacement field of a red sandstone specimen is obtained by the digital speckle correlation method. Finally, based on the grid node displacement calculated by the finite element method and the measured data, the boundary conditions, the elastic modulus and the Poisson's ratio of the specimen are obtained. It is shown that: (1) by using the method developed in this paper, the boundary conditions and the elastic parameters of materials are obtained by the inversion method. (2) the elastic modulus of the specimen is about 18~GPa, and the value is gradually stabilized in the later stage of loading; the Poisson's ratio gradually increases with the loading, and the value is between 0.14 and 0.34. (3) due to the heterogeneous nature of the rock material, a certain difference is observed in the direction and the magnitude of the external load of adjacent nodes in the horizontal direction.

Key words: finite element method, digital speckle correlation method, boundary conditions, elastic modulus, Poisson's ratio

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