Research Article
Accurate, Efficient, and Robust Q4-Like Membrane Elements Formulated in Cartesian Coordinates Using the Quasi-Conforming Element Technique
Table 6
The results of Cook’s membrane given by different membrane elements.
| Elements | mesh | mesh | mesh | | | | | | |
| Q4 | 11.80 | 0.1217 | 18.29 | 0.1837 | 22.08 | 0.2242 | Q6 | 22.94 | 0.2029 | 23.48 | 0.2258 | 23.80 | 0.2334 | QM6 | 21.05 | 0.1928 | 23.02 | 0.2243 | — | — | QC6 | 21.13 | — | 23.02 | — | — | — | PS | 21.13 | 0.1855 | 23.02 | 0.2242 | — | — | QR4b1 | 22.48 | 0.2074 | 23.43 | 0.2337 | — | — | QA41 | 23.29 | 0.1883 | 23.78 | 0.2226 | — | — | I-A1 | 23.37 | — | 23.90 | — | 23.99 | — | 07β1 | 22.586 | 0.1971 | 23.446 | 0.2318 | — | — | RQ4 | 19.79 | 0.1902 | 22.93 | 0.2303 | — | — | AQCE4 | 22.32 | 0.1414 | 24.12 | 0.1928 | — | — | B-Q4E | 21.35 | 0.1956 | 23.04 | 0.2261 | — | — | CYSE2 | 10.40 | — | 17.65 | — | 21.90 | — | Pimpinelli1 | 21.02 | — | 23.01 | — | 23.68 | — | QACII6 | 25.92 | 0.2169 | 24.37 | 0.2286 | 24.04 | 0.2352 | AGQ6-I | 23.06 | 0.2023 | 23.68 | 0.2275 | 23.87 | 0.2351 | AGQ6M | 20.74 | — | 22.99 | — | 23.69 | — | WDQ4 | 16.35 | — | 21.35 | — | 23.17 | — | QCQ4-1 | 22.07 | 0.2331 | 23.44 | 0.2504 | 23.78 | 0.2393 | QCQ4-2 | 23.09 | 0.2207 | 23.59 | 0.2350 | 23.82 | 0.2327 | Reference | 23.90 | 0.2360 | 23.90 | 0.2360 | 23.90 | 0.2360 |
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With drilling degrees of freedom.
2The value read from the curves shown in the figures.
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