A comparative formulation of T3γs, DST, DKMT and MITC3+ triangular plate elements with new numerical results based on s-norm tests

I. Katili, Imam Jauhari Maknun, Jean Louis Batoz, Andi Makarim Katili

Research output: Contribution to journalArticle

Abstract

The paper deals with plate bending triangular elements with shear effect included, having only three degrees of freedom at each corner node. In that category, we select four elements due to their appreciation in the academic world and performances for practical applications using industrial software. Those four elements are T3γs (1982) (equivalent to MITC3 (2004)), DST (1989), DKMT (1993), and MITC3+ (2014). The present paper focuses on the detailed formulation of those elements using the same notation and with emphasis on their theoretical difference. In particular, the paper shows that for very thick plates DKMT, and MITC3 are equivalent. The main other contribution deals with a detailed analysis of the numerical results for classical tests or dealing with convergence performance evaluation using s-norm tests for the whole range of extremely thick to thin plates. The best elements emerging from the present study are DKMT and MITC3+ with a slight advantage to the first due to its simplicity in formulation and performance in all tests.

Original languageEnglish
Article number103826
JournalEuropean Journal of Mechanics, A/Solids
Volume78
DOIs
Publication statusPublished - 1 Nov 2019

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norms
Industrial applications
formulations
thick plates
thin plates
emerging
coding
degrees of freedom
shear
computer programs
evaluation

Keywords

  • DKMT
  • DST
  • MITC3+
  • Plate bending elements
  • s-norm
  • T3γ

Cite this

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title = "A comparative formulation of T3γs, DST, DKMT and MITC3+ triangular plate elements with new numerical results based on s-norm tests",
abstract = "The paper deals with plate bending triangular elements with shear effect included, having only three degrees of freedom at each corner node. In that category, we select four elements due to their appreciation in the academic world and performances for practical applications using industrial software. Those four elements are T3γs (1982) (equivalent to MITC3 (2004)), DST (1989), DKMT (1993), and MITC3+ (2014). The present paper focuses on the detailed formulation of those elements using the same notation and with emphasis on their theoretical difference. In particular, the paper shows that for very thick plates DKMT, and MITC3 are equivalent. The main other contribution deals with a detailed analysis of the numerical results for classical tests or dealing with convergence performance evaluation using s-norm tests for the whole range of extremely thick to thin plates. The best elements emerging from the present study are DKMT and MITC3+ with a slight advantage to the first due to its simplicity in formulation and performance in all tests.",
keywords = "DKMT, DST, MITC3+, Plate bending elements, s-norm, T3γ",
author = "I. Katili and Maknun, {Imam Jauhari} and Batoz, {Jean Louis} and Katili, {Andi Makarim}",
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AU - Maknun, Imam Jauhari

AU - Batoz, Jean Louis

AU - Katili, Andi Makarim

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N2 - The paper deals with plate bending triangular elements with shear effect included, having only three degrees of freedom at each corner node. In that category, we select four elements due to their appreciation in the academic world and performances for practical applications using industrial software. Those four elements are T3γs (1982) (equivalent to MITC3 (2004)), DST (1989), DKMT (1993), and MITC3+ (2014). The present paper focuses on the detailed formulation of those elements using the same notation and with emphasis on their theoretical difference. In particular, the paper shows that for very thick plates DKMT, and MITC3 are equivalent. The main other contribution deals with a detailed analysis of the numerical results for classical tests or dealing with convergence performance evaluation using s-norm tests for the whole range of extremely thick to thin plates. The best elements emerging from the present study are DKMT and MITC3+ with a slight advantage to the first due to its simplicity in formulation and performance in all tests.

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