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. 2020 Aug 29;13(17):3820. doi: 10.3390/ma13173820

Table 2.

Convergence of Ω=ω(a2/h)ρc/Ec for SSSS FGM square plates with h/b = 0.1 and m¯=1.

Material Model Material Ingredient Mode M¯=M+1 Exact Closed-Form Sol. Published
5 10 15 25 30 35
Power-Law Al/Al2O3 1 4.510 4.433 4.422 4.419 4.418 4.418 4.419 (1,1) <4.420>
(4.347)
2 11.03 10.63 10.60 10.60 10.58 10.58 10.59 (1,2) <10.59>
(10.42)
3 11.03 10.63 10.60 10.56 10.58 10.58 10.59 (2,1) </>
(10.42)
4 * 16.22 16.20 16.20 16.20 16.20 16.20 16.20 (1,0) <×>
(15.94)
5 * 16.22 16.20 16.20 16.20 16.20 16.20 16.20 (0,1) <×>
(/)
6 16.90 16.34 16.31 16.30 16.30 16.30 16.31 (2,2) <16.31>
(/)
M-T Al/ZrO2 1 5.288 5.205 5.193 5.190 5.190 5.190 5.192 (1,1) {5.096}
2 12.90 12.45 12.42 12.41 12.41 12.41 12.41 (1,2) {12.30}
3 12.90 12.45 12.42 12.41 12.41 12.41 12.41 (2,1) {12.30}
4 * 18.10 18.09 18.08 18.08 18.08 18.08 18.08 (1,0) {17.49}
5 * 18.10 18.09 18.08 18.08 18.08 18.08 18.08 (0,1) {17.49}
6 19.74 19.12 19.08 19.07 19.06 19.06 19.09 (2,2) {18.87}

Note: ‘×’denotes data missed; ‘/’ denotes data not available; < > denotes results of Hosseini-Hashemi et al. [23]; ( ) denotes results of Zhao et al. [10]; { } denotes results of Ferreira et al. [12]; “*” denotes the in-plane displacement-dominated model; the superscripts “( )” denote the wave numbers in the x-direction and y-direction.