Several Treatments on Nonconforming Element Failed in the Strict Patch Test

Table 3

The normalized deflections at the free end of MacNeal’s beam.

Element type	Load 𝑃			Load 𝑀
	Mesh (a)	Mesh (b)	Mesh (c)	Mesh (a)	Mesh (b)	Mesh (c)
Q4	0.093	0.035	0.003	0.093	0.031	0.022
Q6	0.993	0.677	0.106	1.000	0.759	0.093
QM6	0.993	0.623	0.044	1.000	0.722	0.037
AGQ6-I	0.993	0.994	0.994	1.000	1.000	1.000
AGQ6M-I	0.993	0.631	0.050	1.000	0.722	0.044
AGQ6M-II	0.093	0.034	0.027	0.093	0.031	0.022
AGQ6M	0.993	0.632	0.051	1.000	0.726	0.046
Exact	−0.1081			−0.0054