Upper bound limit analysis of plates using a rotation-free isogeometric approach

Asia Pacific Journal on Computational Engineering

Table 4 A comparison of the limit load factor $(\bar{q} a^{2} / m_{p})$ for a square plate

Authors	Methods	Bounds	Simply supported	Clamped
Hodge and Belytschko [1]	Quadratic field (nonconforming)	UB	26.54	49.25
Capsoni and Corradi [2]	BFS (conforming)	UB	25.02	45.29
Le et al. [4]	HCT (conforming)	UB	25.01	45.12
Bleyer and de Buhan [6]	T6b (nonconforming)	UB	-	45.036
Bleyer and de Buhan [6]	H3 (nonconforming)	UB	-	44.287
Zhou et al. [9]	C¹-NEM	UB	25.07	45.18
Le et al. [7]	EFG	QUB	25.01	45.07
Le et al. [16]	EFG	QLB	24.98	43.86
Le et al. [4]	Enhanced Morley (EM)	LB	24.93	43.454
Present (p = 2)	IGA	UB	25.023	44.803
Present (p = 3)	IGA	UB	25.018	44.556

UB, upper bound; QUB, quasi-upper bound; QLB, quasi-lower bound; LB, lower bound.