Three-Dimensional Finite Element Modeling of Thermomechanical Problems in Functionally Graded Hydroxyapatite/Titanium Plate

Table 2

Convergence study of simply supported Ni/ZrO₂  FG plates subjected to thermal loadings with respect to different mesh divisions.

Parameter	𝑧/ℎ	Established [28]	8×8	16×16	20×20	50×50	55×55
Temperature (𝑇)	0.5	0.2432	0.2778	0.2779	0.2779	0.2779	0.2779
In-plane displacement (𝑢𝑥)	0	0.08492	0.0432	0.0432	0.0432	0.0432	0.0432
	0.5	−0.7862	−0.6887	−0.6889	−0.6889	−0.6889	−0.6889
	1	−1.699	−1.456	−1.456	−1.456	−1.456	−1.456
Transverse displacement (𝑢𝑧)	0	5.522	4.632	4.634	4.634	4.634	4.634
	0.5	5.635	4.738	4.739	4.739	4.739	4.739
	1	6.021	5.070	5.071	5.071	5.071	5.071
Normal stress (𝜎𝑥𝑥)	0	−75.78	−49.53	−48.58	−48.47	−48.30	−48.26
	0.5	−243	−299.7	−321.1	−320.3	−319.2	−318.9
	1	−1006	−1120.2	−1099.9	−1097.4	−1093.6	−1092.6
Transverse stress (𝜎𝑧𝑧)	0.5	1.015	0.8590	0.8454	0.8381	0.8318	0.8309
Transverse shear stress (𝜏𝑥𝑧)	0.5	1.583	2.239	2.237	2.231	2.224	2.222