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Application of Base Force Element Method on Complementary Energy Principle to Rock Mechanics Problems

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  • Yijiang Peng
  • Qing Guo
  • Zhaofeng Zhang
  • Yanyan Shan

Abstract

The four-mid-node plane model of base force element method (BFEM) on complementary energy principle is used to analyze the rock mechanics problems. The method to simulate the crack propagation using the BFEM is proposed. And the calculation method of safety factor for rock mass stability was presented for the BFEM on complementary energy principle. The numerical researches show that the results of the BFEM are consistent with the results of conventional quadrilateral isoparametric element and quadrilateral reduced integration element, and the nonlinear BFEM has some advantages in dealing crack propagation and calculating safety factor of stability.

Suggested Citation

  • Yijiang Peng & Qing Guo & Zhaofeng Zhang & Yanyan Shan, 2015. "Application of Base Force Element Method on Complementary Energy Principle to Rock Mechanics Problems," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-16, May.
    • Handle: RePEc:hin:jnlmpe:292809
    DOI: 10.1155/2015/292809
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