Computation of limit and shakedown using the NS-FEM and second-order cone programming

Tran Trung Dung; Le Van Canh; Nguyen Xuan Hung

2 (1) 2012

Computation of limit and shakedown using the NS-FEM and second-order cone programming

Author - Affiliation:

Tran Trung Dung - Ho Chi Minh City Open University , Vietnam

Le Van Canh - International University, VNU HCMC , Vietnam

Nguyen Xuan Hung - University of Science HCMC , Vietnam

Corresponding author: Nguyen Xuan Hung - kim.npt@ou.edu.vn

Abstract

This paper presents a novel numerical procedure for computation of limit and shakedown 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 primal-dual 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. The efficiency of the present approach is illustrated by examining several numerical examples.

Keywords

Limit and shakedown analysis (LSA); node-based smoothed finite element method (NS-FEM); second-order cone programming (SOCP)

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