Size-Dependent Thermoelastic Behavior Analysis of Functionally Graded Magneto-Electro-Elastic Cylindrical Shells Based on Modified Couple Stress Theory

Table 6

The effect of external magnetic potential and electric potential on the critical buckling temperature of a FGMEE cylindrical microshell with boundary conditions of supporting supports at both ends.

Ψ0 (A)	Φ0 (V)
	−20	−10	0	10	20
n = 0
−0.5	612.597	537.605	460.872	387.460	317.647
−0.2	672.659	596.847	521.454	448.286	369.879
0.0	734.824	659.008	583.875	544.345	477.740
0.2	795.946	725.170	632.457	569.534	492.342
0.5	857.143	789.331	648.877	631.765	557.973
n = 1
−0.5	884.313	806.501	730.688	654.876	579.063
−0.2	947.475	867.645	793.850	717.038	641.225
0	1008.64	935.838	859.034	779.199	703.386
0.2	1058.798	993.954	914.172	841.361	765.548
0.5	1135.959	1058.167	978.376	903.522	827.709

Note that it changes in a specific range, so the range of changes in external electric potential (Φ0) is greater than the range of changes in external magnetic potential (Ψ0). This is because the value is greater than and as a result of the results of the axial force and which are directly dependent on these constants, the effect of the force caused by the external electric potential will be less than the axial force caused by the external magnetic potential (Figures 7 and 8).