A Spline Finite Point Method for Nonlinear Bending Analysis of FG Plates in Thermal Environments Based on a Locking-free Thin/Thick Plate Theory

Table 5

Comparisons of the nondimensional center transverse displacement for Al/ZrO₂ FGM square plates with different volume fraction indexes and discretization levels.

Method	Discretization level	Volume fraction index k
		0.5	1	2
SFPM (N × r)	4 × 3	0.2369	0.2835	0.3300
	6 × 3	0.2352	0.2799	0.3237
	8 × 3	0.2345	0.2767	0.3197
	10 × 3	0.2340	0.2748	0.3164
	12 × 3	0.2333	0.2731	0.3132
	14 × 3	0.2328	0.2723	0.3119
	16 × 3	0.2327	0.2720	0.3113
	12 × 1	0.2373	0.2785	0.3210
	12 × 5	0.2329	0.2726	0.3123
	12 × 7	0.2328	0.2721	0.3114
NS-FEM [45] (mesh)	8 × 8	0.2332	0.2723	0.3116
	12 × 12	0.2326	0.2716	0.3107
	16 × 16	0.2324	0.2713	0.3104
	20 × 20	0.2322	0.2711	0.3101
	32 × 32	0.2321	0.2709	0.3099

N stands for the number of spline subdivisions in x direction, and r is the convergent series.