Generalized Finite Element Formulation of Fiber Beam Elements for Distributed Plasticity in Multiple Regions

Kyoungsoo Park, Hyungtae Kim, Dae Jin Kim

Research output: Contribution to journalArticle

2 Citations (Scopus)

Abstract

A generalized fiber beam element formulation is proposed to accurately capture the formation of multiple plastic regions with a coarse mesh, which usually occurs in the process of structural collapses. The strong gradient of displacement near plastic regions in a fiber beam element can be accurately described using a special plastic enrichment function. The two types of the plastic enrichment functions are suggested for the cases where the plastic region is located fully inside an element and spread over a node, respectively. In this approach, the optimal shape of the plastic enrichment function can be updated by reflecting plastic deformation at the previous loading step. Furthermore, if plastic regions appear in multiple locations in an element, the corresponding plastic enrichment function can be adaptively reconstructed on the basis of plastic region distribution without introducing additional degrees of freedom. The effectiveness of the proposed method is investigated in terms of accuracy and computational cost through several numerical experiments.

Original languageEnglish
Pages (from-to)146-163
Number of pages18
JournalComputer-Aided Civil and Infrastructure Engineering
Volume34
Issue number2
DOIs
Publication statusPublished - 2019 Feb 1

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Plasticity
Plastics
Fibers
Plastic deformation
Costs

All Science Journal Classification (ASJC) codes

  • Civil and Structural Engineering
  • Computer Science Applications
  • Computer Graphics and Computer-Aided Design
  • Computational Theory and Mathematics

Cite this

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abstract = "A generalized fiber beam element formulation is proposed to accurately capture the formation of multiple plastic regions with a coarse mesh, which usually occurs in the process of structural collapses. The strong gradient of displacement near plastic regions in a fiber beam element can be accurately described using a special plastic enrichment function. The two types of the plastic enrichment functions are suggested for the cases where the plastic region is located fully inside an element and spread over a node, respectively. In this approach, the optimal shape of the plastic enrichment function can be updated by reflecting plastic deformation at the previous loading step. Furthermore, if plastic regions appear in multiple locations in an element, the corresponding plastic enrichment function can be adaptively reconstructed on the basis of plastic region distribution without introducing additional degrees of freedom. The effectiveness of the proposed method is investigated in terms of accuracy and computational cost through several numerical experiments.",
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Generalized Finite Element Formulation of Fiber Beam Elements for Distributed Plasticity in Multiple Regions. / Park, Kyoungsoo; Kim, Hyungtae; Kim, Dae Jin.

In: Computer-Aided Civil and Infrastructure Engineering, Vol. 34, No. 2, 01.02.2019, p. 146-163.

Research output: Contribution to journalArticle

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