Analysis of Stresses on Wholly Grouted Anchors Based on Different Constitutive Models

  • Zeng GuoEmail author
  • Lei Han
  • Yanhong Li
  • Hui Hu
  • Youhe Zhang
  • Shaoyun Luo
Original Paper


As wholly grouted anchors (WGAs) are widely used in deep mining, it is essential to research stress characteristics of WGA on conditions of high geostress and complex constitutive models, which exerts significance on supporting design of deep roadways. Based on Mohr–Coulomb strain-softening model, stress characteristics of the WGAs based on different constitutive models were analyzed by using FLAC3D numerical simulation software. On this basis, the influences of anchors with different lengths on stability of surrounding rocks were investigated to further compare the effect of different dilatancy angles on axial and shear forces on anchors. The results showed that the axial forces on anchors calculated by employing ideal elastoplastic model and the strain-softening model were largely different. However, shear forces on anchors were insignificantly affected by strain-induced softening behaviors of surrounding rocks. When considering the effect of dilatancy angle, a constant dilatancy angle had a significant influence on axial forces of anchors. In the design of supporting structures, a great error can occur to the calculation result when the effect of dilatancy angle is neglected, and therefore nonlinear dilatancy angle is capable of reasonably reflecting stress characteristics of anchors. The research can provide reference for stability calculation of surrounding rocks in deep mining.


Constitutive model FLAC3D Strain-induced softening Wholly grouted anchor 



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Copyright information

© Springer Nature Switzerland AG 2018

Authors and Affiliations

  • Zeng Guo
    • 1
    Email author
  • Lei Han
    • 1
  • Yanhong Li
    • 2
  • Hui Hu
    • 1
  • Youhe Zhang
    • 1
  • Shaoyun Luo
    • 1
  1. 1.Zhangjiakou Vocational and Technical CollegeZhangjiakouChina
  2. 2.Hebei Institute of Architectural EngineeringZhangjiakouChina

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