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

Tran Trung Dung; Le Van Canh

4 (1) 2014

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

Author - Affiliation:

Tran Trung Dung - Faculty of Construction & Electricity, HCMC Open University , Vietnam

Le Van Canh - Department of Civil Engineering, International University , Vietnam

Corresponding author: Le Van Canh - lvcanh@hcmiu.edu.vn

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.

Keywords

Limit analysis (LA);the node-based smoothed fem (NS-FEM);Second-order cone programming (SOCP).

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