Development of nonlinear elasto-plastic constitutive model for rock based on Hoek-Brown yield criterion and its numerical implementation

被引:0
|
作者
Shu C. [1 ,2 ]
Shi F. [1 ,2 ]
Hu G. [3 ]
Wang H. [1 ,2 ]
机构
[1] State Key Laboratory of Coal Mine Disaster Dynamic and Control, Chongqing University, Chongqing
[2] National and Local Joint Engineering Laboratory of Gas Drainage in Complex Coal Seam, Chongqing University, Chongqing
[3] School of Mines, China University of Mining and Technology, Xuzhou, 221116, Jiangsu
基金
中国国家自然科学基金;
关键词
Hoek-Brown(H-B) yield criterion; Nonlinearity elasto-plasticity; Numerical implementation; Rock constitutive relations; Rock mechanics;
D O I
10.13722/j.cnki.jrme.2014.1525
中图分类号
学科分类号
摘要
In order to deal with the singularity of Hoek-Brown(H-B) yield criterion, a nonlinear elasto-plastic model based on the Hoek-Brown yield criterion was developed, where the stress was updated in the principal stress space and was mapped into general stress space, and the nonlinearity of elastic deformation was also taken into account. This method can serve as an accurate implementation of the Hoek-Brownyield criterion model. For the validation of the model, the user defined material(UMAT) code was redeveloped in Ls-dyna with Fortran programming language. With the building of 3D geometry of uniaxial compressive test model and Brazilian test model, the exact solution of the model based on H-B yield criterion including failure mode was implemented by deleting of elements whose effective plastic strain is up to a given value. Finally, the numerical results were compared with the experimental test and showed good agreement, which indicates a high accuracy of the presented model. © 2016, Science Press. All right reserved.
引用
收藏
页码:2627 / 2634
页数:7
相关论文
共 22 条
  • [11] Shen J., Murat K., Simplified method for estimating the hoek-brown constant for intact rocks, Journal of Geotechnical and Geoenvironmental Engineering, 140, 6, (2014)
  • [12] Colak K., Unlu T., Effect of transverse anisotropy on the Hoek-Brown strength parameter 'm<sub>i</sub>' for intact rocks, International Journal of Rock Mechanics and Mining Sciences, 41, 6, pp. 1045-1052, (2004)
  • [13] Sari M., An improved method of fitting experimental data to the Hoek-Brown failure criterion, Engineering Geology, 127, 2012, pp. 27-35, (2012)
  • [14] Yang F., Study on overburden strata's movement pattern and mechanism of ming steeply inclined seams, (2006)
  • [15] Liu H.H., Rutqvist J., Berryman J.G., On the relationship between stress and elastic strain for porous and fractured rock, International Journal of Rock Mechanics and Mining Sciences, 46, 2, pp. 289-296, (2009)
  • [16] Nocedal J., Wright S., Numerical Optimization, pp. 258-261, (2006)
  • [17] Wang Q., Fan Z., Improvement in analysis of quasi-static collapse with Ls-Dyna, Mechanics and Practice, 25, 3, pp. 20-23, (2003)
  • [18] Belytschko T., Liu W.K., Moran B., Et al., Nonlinear Finite Elements for Continua and Structures, (2013)
  • [19] Bai J., Theoretical Basis and Case Study, pp. 104-123, (2005)
  • [20] Fairhurst C., Hudson J., Draft ISRM suggested method for the complete stress-strain curve for intact rock in uniaxial compression, International Journal of Rock Mechanics and Mining Sciences, 36, 3, pp. 279-289, (1999)