Table 3 Bending deflections, \({{10^{5} Dw\left( {{a \mathord{\left/ {\vphantom {a {2,{b \mathord{\left/ {\vphantom {b 2}} \right. \kern-\nulldelimiterspace} 2}}}} \right. \kern-\nulldelimiterspace} {2,{b \mathord{\left/ {\vphantom {b 2}} \right. \kern-\nulldelimiterspace} 2}}}} \right)} \mathord{\left/ {\vphantom {{10^{5} Dw\left( {{a \mathord{\left/ {\vphantom {a {2,{b \mathord{\left/ {\vphantom {b 2}} \right. \kern-\nulldelimiterspace} 2}}}} \right. \kern-\nulldelimiterspace} {2,{b \mathord{\left/ {\vphantom {b 2}} \right. \kern-\nulldelimiterspace} 2}}}} \right)} {\left( {q_{u} b^{4} } \right)}}} \right. \kern-\nulldelimiterspace} {\left( {q_{u} b^{4} } \right)}}\), of uniformly loaded square nanoplates with b = 10 nm under different BCs.

108.83

130.23

164.08

153.39

203.31

265.33

108.84

130.23

164.08

153.39

203.32

265.33

100.36

118.60

146.47

138.23

178.21

226.39

93.100

108.88

132.29

125.77

158.60

197.29

86.822

100.63

120.63

115.36

142.87

174.74

81.336

93.543

110.86

106.53

129.96

156.76

105.28

130.87

171.41

158.50

218.05

291.07

93.726

115.32

148.59

138.54

186.41

243.89

84.462

103.07

131.14

123.03

162.77

209.77

76.8665

93.178

117.37

110.64

144.44

183.95

70.526

85.021

106.22

100.51

129.81

163.76

101.94

131.38

177.84

163.09

230.94

313.20

87.920

112.43

150.33

138.78

193.35

258.66

77.291

98.25

130.20

120.77

166.27

220.23

68.958

87.261

114.84

106.90

145.85

191.72

62.249

78.482

102.72

95.890

129.89

169.72

98.816

131.78

183.50

167.22

242.26

332.34

82.791

109.86

151.78

138.96

199.28

271.27

71.243

94.198

129.42

118.88

169.26

229.14

62.524

82.448

112.81

103.88

147.10

198.33

55.708

73.306

99.983

92.234

130.07

174.82

95.873

132.09

188.51

170.94

252.27

349.00

78.229

107.57

153.00

139.11

204.42

282.17

66.073

90.733

128.76

117.28

171.84

236.81

57.188

78.456

111.16

101.37

148.22

204.02

50.411

69.106

97.789

89.266

130.31

179.21