Computation of limit load using edge-based smoothed finite element method and second-order cone programming

C. V. Le, H. Nguyen-Xuan, H. Askes, Timon Rabczuk, T. Nguyen-Thoi

Research output: Contribution to journalArticle

23 Citations (Scopus)

Abstract

This paper presents a novel numerical procedure for limit analysis of plane problems using edge-based smoothed finite element method (ES-FEM) in combination with second-order cone programming. In the ES-FEM, the discrete weak form is obtained based on the strain smoothing technique over smoothing domains associated with the edges of the elements. Using constant smoothing functions, the incompressibility condition only needs to be enforced at one point in each smoothing domain, and only one Gaussian point is required, ensuring that the size of the resulting optimization problem is kept to a minimum. The discretization problem is transformed into the form of a second-order cone programming problem which can be solved using highly efficient interior-point solvers. Finally, the efficacy of the procedure is demonstrated by applying it to various benchmark plane stress and strain problems.

Original languageEnglish
Article number13400045
JournalInternational Journal of Computational Methods
Volume10
Issue number1
DOIs
Publication statusPublished - 2013 Feb 1
Externally publishedYes

Fingerprint

Second-order Cone Programming
Load limits
Computer programming
Cones
Finite Element Method
Finite element method
Smoothing
Smoothing Function
Limit Analysis
Efficient Points
Smoothing Techniques
Incompressibility
Plane Problem
Plane Stress
Constant function
Plane Strain
Interior Point
Numerical Procedure
Efficacy
Discretization

Keywords

  • Collapse load
  • ES-FEM
  • limit analysis
  • SFEM
  • SOCP

ASJC Scopus subject areas

  • Computer Science (miscellaneous)
  • Computational Mathematics

Cite this

Computation of limit load using edge-based smoothed finite element method and second-order cone programming. / Le, C. V.; Nguyen-Xuan, H.; Askes, H.; Rabczuk, Timon; Nguyen-Thoi, T.

In: International Journal of Computational Methods, Vol. 10, No. 1, 13400045, 01.02.2013.

Research output: Contribution to journalArticle

Le, C. V. ; Nguyen-Xuan, H. ; Askes, H. ; Rabczuk, Timon ; Nguyen-Thoi, T. / Computation of limit load using edge-based smoothed finite element method and second-order cone programming. In: International Journal of Computational Methods. 2013 ; Vol. 10, No. 1.
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