Adaptive selective ES-FEM limit analysis of cracked plane-strain structures

H. Nguyen-Xuan, Timon Rabczuk

Research output: Contribution to journalArticle

Abstract

This paper presents a simple and efficient approach for predicting the plastic limit loads in cracked planestrain structures.We use two levels of mesh repartitioning for the finite element limit analysis. The master level handles an adaptive primal-mesh process through a dissipation-based indicator. The slave level performs the subdivision of each triangle into three sub-triangles and constitutes a dual mesh from a pair of two adjacent sub-triangles shared by common edges of the primal mesh. Applying a strain smoothing projection to the strain rates on the dual mesh, the incompressibility constraint and the flow rule constraint are imposed over the edge-based smoothing domains and everywhere in the problem domain. The limit analysis problem is recast into the compact form of a second-order cone programming (SOCP) for the purpose of exploiting interior-point solvers. The present method retains a low number of optimization variables. It offers a convenient way for designing and solving the large-scale optimization problems effectively. Several benchmark examples are given to show the simplicity and effectiveness of the present method.

Original languageEnglish
Pages (from-to)478-490
Number of pages13
JournalJournal of Contemporary Physics
Volume50
Issue number4
DOIs
Publication statusPublished - 2015 Oct 1
Externally publishedYes

Fingerprint

plane strain
mesh
triangles
smoothing
incompressibility
subdivisions
optimization
programming
strain rate
cones
plastics
dissipation
projection

Keywords

  • adaptive
  • cracked structure
  • edge-based strain smoothing
  • limit analysis
  • second-order cone programming
  • von Mises criterion

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Adaptive selective ES-FEM limit analysis of cracked plane-strain structures. / Nguyen-Xuan, H.; Rabczuk, Timon.

In: Journal of Contemporary Physics, Vol. 50, No. 4, 01.10.2015, p. 478-490.

Research output: Contribution to journalArticle

Nguyen-Xuan, H. ; Rabczuk, Timon. / Adaptive selective ES-FEM limit analysis of cracked plane-strain structures. In: Journal of Contemporary Physics. 2015 ; Vol. 50, No. 4. pp. 478-490.
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