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 language | English |
|---|---|
| Article number | 103826 |
| Journal | European Journal of Mechanics, A/Solids |
| Volume | 78 |
| DOIs | |
| Publication status | Published - 1 Nov 2019 |
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Keywords
- DKMT
- DST
- MITC3+
- Plate bending elements
- s-norm
- T3γ
Cite this
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A comparative formulation of T3γs, 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
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
AN - SCOPUS:85070236173
VL - 78
JO - European Journal of Mechanics, A/Solids
JF - European Journal of Mechanics, A/Solids
SN - 0997-7538
M1 - 103826
ER -