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

Tran Trung Dung and Le Van Canh ()
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Tran Trung Dung: Faculty of Construction & Electricity, HCMC Open University, Vietnam
Le Van Canh: Department of Civil Engineering, International University, Vietnam

HO CHI MINH CITY OPEN UNIVERSITY JOURNAL OF SCIENCE - ENGINEERING AND TECHNOLOGY, 2014, vol. 4, issue 1, 38-47

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). (search for similar items in EconPapers)
Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:bjw:techen:v:4:y:2014:i:1:p:38-47

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