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Limit analysis for 3-d structures using second-order cone programming

Author

Listed:
  • Tran Trung Dung

    (Faculty of Construction & Electricity, HCMC Open University, Vietnam)

  • Le Van Canh

    (Department of Civil Engineering, International University, Vietnam)

Abstract

This paper extends a numerical procedure for limit ananlysis of 3-D structures using node-based smoothed finite element method (NS-FEM) in combination with second-order cone programming (SOCP). The obtained discretization formulation is then cast in a form which involves second-order cone constraints, ensuring that the underlying optimization problem can be solved by highly efficient primaldual interior point algorithm. Furthermore, in the NS-FEM, the system stiffness matrix is computed using the smoothed strains over the smoothing domains associated with nodes. This ensures that the size of the resulting optimization problem is kept to a minimum. Moreover, it can alleviate volumetric locking for 3-D problem effectively. The efficiency of the present approach is illustrated by examing a benchmark example.

Suggested Citation

  • Tran Trung Dung & Le Van Canh, 2014. "Limit analysis for 3-d structures using second-order cone programming," HO CHI MINH CITY OPEN UNIVERSITY JOURNAL OF SCIENCE - ENGINEERING AND TECHNOLOGY, HO CHI MINH CITY OPEN UNIVERSITY JOURNAL OF SCIENCE, HO CHI MINH CITY OPEN UNIVERSITY, vol. 4(1), pages 38-47.
  • Handle: RePEc:bjw:techen:v:4:y:2014:i:1:p:38-47
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