Bending of Nonconforming Thin Plates Based on the Mixed-Order Manifold Method with Background Cells for Integration

Table 1

Central deflections of a clamped circular plate under distributed load calculated with different methods.

Length (10^−1m)/(element number)	Central deflections (10^−2 m)		Length (10^−1m)/(element number)	Central deflections (10^−2 m)
	The traditional NMM	The proposed NMM		FEM	RPAQ [40, 41]	TACQ [42]
7.0711/(16)	1.6530 (5.79%)	1.5997 (2.38%)	7.368/(48)	1.5819 (1.24%)	1.264 (19.1%)	—
4.2426/(52)	1.5717 (0.59%)	1.5541 (0.53%)	4.3051/(108)	1.5715 (0.58%)	1.484 (5.02%)	1.4790 (5.34%)
3.5355/(60)	1.5629 (0.03%)	1.5614 (0.07%)	2.3301/(192)	1.5672 (0.3%)	1.543 (1.25%)	1.5422 (1.30%)
2.8284/(88)	1.5553 (0.46%)	1.5627 (0.01%)	1.5696/(432)	1.5644 (0.12%)	—	—
2.1213/(164)	1.5628 (0.02%)	1.5625 (0%)	1.1814/(768)	1.5635 (0.06%)	—	—
Analytical solution	1.5625		Analytical solution	1.5625

Note. “—” indicates that no specific results are given.