Four-Node Generalized Conforming Membrane Elements with Drilling DOFs Using Quadrilateral Area Coordinate Methods

Table 3

Results of Cook’s beam.

Element
	2 × 2	4 × 4	8 × 8	2 × 2	4 × 4	8 × 8	2 × 2	4 × 4	8 × 8
Q4	11.80	18.29	22.08	0.1217	0.1873	0.2242	−0.0960	0.1524	−0.1869
Q6	21.61	23.04	23.69	0.1930	0.2237	0.2345	−0.1783	0.1867	−0.1992
D-type	20.68	22.98	23.63	—	—	—	—	—	—
GQ12	20.89	23.06	23.67	0.1802	0.2209	0.2315	−0.1784	−0.1950	−0.2007
GQ12M8	22.49	23.44	23.78	0.2083	0.2338	0.2361	−0.2216	−0.2045	−0.2028
QAC4θ	21.00	23.05	23.66	0.1917	0.2241	0.2318	−0.1877	−0.1938	−0.2009
QAC4θM	22.25	23.42	23.78	0.2147	0.2358	0.2364	−0.2092	−0.2033	−0.2027
Reference values		23.96			0.2362			−0.2023