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Volume 41 Issue 3
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WANG Dong-yong, CHEN Xi, LÜ Yan-nan, REN Jin-lan. Shear strength reduction finite element method based on second-order cone programming theory and its application[J]. Chinese Journal of Geotechnical Engineering, 2019, 41(3): 457-465. DOI: 10.11779/CJGE201903007
Citation: WANG Dong-yong, CHEN Xi, LÜ Yan-nan, REN Jin-lan. Shear strength reduction finite element method based on second-order cone programming theory and its application[J]. Chinese Journal of Geotechnical Engineering, 2019, 41(3): 457-465. DOI: 10.11779/CJGE201903007
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Shear strength reduction finite element method based on second-order cone programming theory and its application

  • School of Civil Engineering, Beijing Jiaotong University, Beijing 100044, China

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  • Received Date: March 18, 2018
  • Published Date: March 24, 2019
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    • Abstract
  • For geotechnical stability problems, the limit equilibrium method (LEM) and shear strength reduction finite element method (SSRFEM) have been commonly used. In the traditional elasto-plastic finite element method, a large maximum allowable number of nonlinear iterations (such as 200 or 500) are often set in the SSRFEM, so that the calculation is generally time-consuming; besides, the equilibrium iteration and stress integration algorithm may probably lead to inaccurate calculation of plastic zone and stability. Based on the Hellinger-Reissner mixed variational principle and finite element method, a new shear strength reduction finite element method is proposed based on the finite element method of second-order cone programming (FEM-SOCP). In the mathematical programming finite element framework, the elasto-plastic finite element problem can be cast into a form of second-order cone programming (SOCP), and when being utilized in conjunction with the strength reduction technique, the resultant approach named SSRFEM-SOCP can be applied to geotechnical stability analysis. When being applied to plane strain problems, it is observed that SSRFEM-SOCP is reliable and efficient, and particularly the plastic zone attained by the SSRFEM-SOCP is generally smoother than that by the conventional SSRFEM method.
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    • References (21)
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