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

doi:10.1016/j.euromechsol.2019.103826

A comparative formulation of T3γ_s, 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

Department of Civil Engineering

Research output: Contribution to journal › Article › Research › peer-review

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 T3γ_s (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 language	English
Article number	103826
Journal	European Journal of Mechanics, A/Solids
Volume	78
DOIs	https://doi.org/10.1016/j.euromechsol.2019.103826
Publication status	Published - 1 Nov 2019

Fingerprint

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

Katili, I., Maknun, I. J., Batoz, J. L., & Katili, A. M. (2019). A comparative formulation of T3γ_s, DST, DKMT and MITC3+ triangular plate elements with new numerical results based on s-norm tests. European Journal of Mechanics, A/Solids, 78, [103826]. https://doi.org/10.1016/j.euromechsol.2019.103826

Katili, I. ; Maknun, Imam Jauhari ; Batoz, Jean Louis ; Katili, Andi Makarim. / A comparative formulation of T3γ_s, DST, DKMT and MITC3+ triangular plate elements with new numerical results based on s-norm tests. In: European Journal of Mechanics, A/Solids. 2019 ; Vol. 78.

@article{63f6b3d92d1841ec9b4a8ed83cf3cf5a,

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}",

year = "2019",

month = "11",

day = "1",

doi = "10.1016/j.euromechsol.2019.103826",

language = "English",

volume = "78",

journal = "European Journal of Mechanics, A/Solids",

issn = "0997-7538",

publisher = "Elsevier BV",

}

Katili, I , Maknun, IJ, Batoz, JL & Katili, AM 2019, 'A comparative formulation of T3γ_s, DST, DKMT and MITC3+ triangular plate elements with new numerical results based on s-norm tests', European Journal of Mechanics, A/Solids, vol. 78, 103826. https://doi.org/10.1016/j.euromechsol.2019.103826

A comparative formulation of T3γ_s, DST, DKMT and MITC3+ triangular plate elements with new numerical results based on s-norm tests. / Katili, I.; Maknun, Imam Jauhari; Batoz, Jean Louis; Katili, Andi Makarim.

In: European Journal of Mechanics, A/Solids, Vol. 78, 103826, 01.11.2019.

Research output: Contribution to journal › Article › Research › peer-review

TY - JOUR

T1 - A comparative formulation of T3γs, DST, DKMT and MITC3+ triangular plate elements with new numerical results based on s-norm tests

AU - Katili, I.

AU - Maknun, Imam Jauhari

AU - Batoz, Jean Louis

AU - Katili, Andi Makarim

PY - 2019/11/1

Y1 - 2019/11/1

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.

AB - 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.

KW - DKMT

KW - DST

KW - MITC3+

KW - Plate bending elements

KW - s-norm

KW - T3γ

UR - http://www.scopus.com/inward/record.url?scp=85070236173&partnerID=8YFLogxK

U2 - 10.1016/j.euromechsol.2019.103826

DO - 10.1016/j.euromechsol.2019.103826

M3 - Article

VL - 78

JO - European Journal of Mechanics, A/Solids