An XFEM based kinematic limit analysis formulation for plane strain cracked structures using SOCP

Tran Trung Dung; Le Van Canh; Lam Phat Thuan

3 (1) 2013

An XFEM based kinematic limit analysis formulation for plane strain cracked structures using SOCP

Author - Affiliation:

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

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

Lam Phat Thuan - Faculty of Civil Engineering and Applied Mechanics, University of Technical Education , Vietnam

Corresponding author: Lam Phat Thuan - kim.npt@ou.edu.vn

Abstract

This paper extends a numerical procedure for limit analysis based on extended finite element method (XFEM) and second-order cone programming (SOCP) to plane strain cracked structures. The cracked structures are easily modelled and simulated using XFEM because it allows discontinuities across elements, and these discontinuities are recognized by means of level set method. The resulting 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. The efficiency of the present approach is illustrated by examing several numerical examples.

Keywords

Limit analysis (LA);Extend finite element method (XFEM);Second-order cone programming (SOCP).

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