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Li Chunguang, Zhu Yufei, Liu Feng, Deng Qin, Zheng Hong. A NEW LINEARIZATION METHOD OF MOHR-COULOMB YIELD SURFACE FOR LOWER BOUND PROBLEMS[J]. Chinese Journal of Theoretical and Applied Mechanics, 2013, 45(2): 245-250. DOI: 10.6052/0459-1879-12-187
Citation: Li Chunguang, Zhu Yufei, Liu Feng, Deng Qin, Zheng Hong. A NEW LINEARIZATION METHOD OF MOHR-COULOMB YIELD SURFACE FOR LOWER BOUND PROBLEMS[J]. Chinese Journal of Theoretical and Applied Mechanics, 2013, 45(2): 245-250. DOI: 10.6052/0459-1879-12-187
shu

A NEW LINEARIZATION METHOD OF MOHR-COULOMB YIELD SURFACE FOR LOWER BOUND PROBLEMS

  • State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan 430071, China

Funds: The project was supported by the National Basic Research Program of China (2011CB013505), the Knowledge Innovation Program of State Key Laboratory of Geomechanics and Geotechnical Engineering (O613021C01).
  • Received Date: June 27, 2012
  • Revised Date: January 09, 2013
    Graphical Abstract
    • Abstract
  • Compared with the limit equilibrium method, the lower limit analysis has a more rigorous mechanics foundation, and the safety factor acquired by the lower limit analysis is more conservative and valuable. Although many scholars have done many useful researches on it, however, the classical linearization method cannot solve the general problem of the anisotropy of strength. In this paper, spatial discretization is implemented, and the yield criterions on the discrete directions are built. Finally, pseudo cohesion is introduced to keep the property of lower bound analysis. The examples show that the result can converge to exact solution stably from below. Proposed method not only enriches the lower bound theory based FEM and linear programming, also lays a solid foundation for anisotropic problems.
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    • References (16)
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