Research on numerical method for crack propagation simulation with consideration of damage effect

被引:0
|
作者
Liu X. [1 ]
Liu Q. [1 ,2 ]
Liu B. [1 ]
He J. [1 ]
机构
[1] State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan, 430071, Hubei
[2] Key Laboratory of Safety for Geotechnical and Structural Engineering of Hubei Province, Wuhan University, Wuhan, 430072, Hubei
来源
| 2018年 / Academia Sinica卷 / 37期
基金
中国国家自然科学基金;
关键词
Coal mine roadway; Damage; Deep rock mass; Fracture propagation; Numerical manifold method; Rock mechanics;
D O I
10.13722/j.cnki.jrme.2018.0633
中图分类号
学科分类号
摘要
The cracks, existing inside the engineering rock mass, are easily to propagate and coalesce under the disturbance of construction, which will threaten the safety of construction. Firstly, a statistical damage constitutive model was proposed to describe the influence of microcosmic cracks on the stress state of rock mass. Then, a modified NMM was proposed to consider the influence of rock damage. The calculation format of the modified NMM stiffness matrix and load matrix for damage constitutive equation under the plane condition and equations of stiffness matrix and incremental iterative were also established. Besides, the modified Newton-Raphson method was used to solve the nonlinear equations of the modified NMM and corresponding algorithm was also introduced. Finally, the effectiveness is verified by a typical example and the calculation differences of the present and modified NMM are discussed. Furthermore, fracture propagation and failure process of a roadway in the Yi coal mine of Pingdingshan was simulated to validate the effectiveness of the proposed method. Because the modified NMM considered the influence of microcosmic cracks on specimen damaging and strength declining, which decrease the initiation and failure strength, as a result, the proposed method can describe the mechanics behavior during loading more reasonable. The research in here is important for scientific designing and safe construction in fractured rock mass. © 2018, Science Press. All right reserved.
引用
收藏
页码:3861 / 3869
页数:8
相关论文
共 22 条
  • [1] Oda M., Takemura T., Aoki T., Damage growth and permeability change in triaxial compression tests of Inada granite, Mechanics of Materials, 34, 6, pp. 313-331, (2002)
  • [2] Liu Q., Liu X., Research on critical problem for fracture network propagation and evolution with multifield coupling of fractured rock mass, Rock and Soil Mechanics, 35, 2, pp. 305-320, (2014)
  • [3] Tsay R.J., Chiou Y.J., Chuang W.L., Crack growth prediction by manifold method, Journal of Engineering Mechanics, 125, 8, pp. 884-890, (1999)
  • [4] Chiou Y.J., Lee Y.M., Tsay R.J., Mixed mode fracture propagation by manifold method, International Journal of Fracture, 114, 4, pp. 327-347, (2002)
  • [5] Yang S., Ma G., Ren X., Et al., Cover refinement of numerical manifold method for crack propagation simulation, Engineering Analysis with Boundary Elements, 43, pp. 37-49, (2014)
  • [6] Zhang H.H., Li L.X., An X.M., Et al., Numerical analysis of 2-D crack propagation problems using the numerical manifold method, Engineering Analysis with Boundary Elements, 34, 1, pp. 41-50, (2010)
  • [7] Zhang H.H., Ma G.W., Fracture modeling of isotropic functionally graded materials by the numerical manifold method, Engineering Analysis with Boundary Elements, 38, pp. 61-71, (2014)
  • [8] Wu Z.J., Wong L.N.Y., Fan L., Dynamic study on fracture problems in viscoelastic sedimentary rocks using the numerical manifold method, Rock Mechanics and Rock Engineering, 46, 6, pp. 1415-1427, (2013)
  • [9] Wu Z.J., Wong L.N.Y., Modeling cracking behavior of rock mass containing inclusions using the enriched numerical manifold method, Engineering Geology, 162, pp. 1-13, (2013)
  • [10] Wong L.N.Y., Wu Z.J., Application of the numerical manifold method to model progressive failure in rock slopes, Engineering Fracture Mechanics, 119, pp. 1-20, (2014)