Modern Trends in Structural and Solid Mechanics 1

35 17

36 18

37 19

38 20

39 21

40 22

41 23

42 24

43 25

44 26

45 27

46 28

47 29

48 30

49 31

50 32

51 33

52 34

53 35

54 36

55 37

56 38

57 39

58 40

59 41

60 42

61 43

62 44

63 45

64 46

65 47

66 48

67 49

68 50

69 51

70 52

71 53

72 54

73 55

74 56

75 57

76 58

77 59

78 60

79 61

80 62

81 63

82 64

83 65

84 66

85 67

86 68

87 69

88 70

89 71

90 72

91 73

92 74

93 75

94 76

95 77

96 78

97 79

98 80

99 81

100 82

101 83

102 84

103 85

104 86

105 87

106 88

107 89

108 91

109 92

110 93

111 94

112 95

113 96

114 97

115 98

116 99

117 100

118 101

119 102

120 103

121 104

122 105

123 106

124 107

125 108

126 109

127 110

128 111

129 112

130 113

131 114

132 115

133 116

134 117

135 118

136 119

137 120

138 121

139 122

140 123

141 124

142 125

143 126

144 127

145 128

146 129

147 130

148 131

149 132

150 133

151 134

152 135

153 136

154 137

155 138

156 139

157 140

158 141

159 142

160 143

161 145

162 146

163 147

164 148

165 149

166 150

167 151

168 152

169 153

170 154

171 155

172 156

173 157

174 159

175 160

176 161

177 162

178 163

179 164

180 165

181 166

182 167

183 168

184 169

185 170

186 171

187 172

188 173

189 174

190 175

191 176

192 177

193 178

194 179

195 180

196 181

197 182

198 183

199 184

200 185

201 186

202 187

203 188

204 189

205 190

206 191

207 192

208 193

209 194

210 195

211 196

212 197

213 198

214 199

215 200

216 201

217 202

218 203

219 204

220 205

221 206

222 207

223 208

224 209

225 210

226 211

227 212

228 213

229 214

230 215

231 216

232 217

233 218

234 219

235 220

236 221

237 222

238 223

239 224

240 225

241 226

242 227

243 229

244 230

245 231

246 232

247 233

248 234

249 235

250 236

251 237

252 238

253 239

254 240

255 241

256 242

257 243

258 244

259 245

260 246

261 247

262 249

263 250

264 251

265 252

266 253

267 255

268 256

269 257

270 258

271 259

272 261

273 262

274 263

275 264

276 265

277 266

278 267

279 268

280 269

281 270

282 271

283 272

284 273

285 274

286 275

Series Editor

Noël Challamel

Edited by

Noël Challamel

Julius Kaplunov

Izuru Takewaki

First published 2021 in Great Britain and the United States by ISTE Ltd and John Wiley & Sons, Inc.

Apart from any fair dealing for the purposes of research or private study, or criticism or review, as permitted under the Copyright, Designs and Patents Act 1988, this publication may only be reproduced, stored or transmitted, in any form or by any means, with the prior permission in writing of the publishers, or in the case of reprographic reproduction in accordance with the terms and licenses issued by the CLA. Enquiries concerning reproduction outside these terms should be sent to the publishers at the undermentioned address:

ISTE Ltd

27-37 St George’s Road

London SW19 4EU

UK

www.iste.co.uk

John Wiley & Sons, Inc.

111 River Street

Hoboken, NJ 07030

USA

www.wiley.com

© ISTE Ltd 2021

The rights of Noël Challamel, Julius Kaplunov and Izuru Takewaki to be identified as the authors of this work have been asserted by them in accordance with the Copyright, Designs and Patents Act 1988.

Library of Congress Control Number: 2020952688

British Library Cataloguing-in-Publication Data

A CIP record for this book is available from the British Library

ISBN 978-1-78630-714-9

This book is dedicated to Prof. Isaac Elishakoff by his colleagues, friends and former students, on the occasion of his seventy-fifth birthday.

Figure P.1. Prof. Isaac Elishakoff

Prof. Isaac Elishakoff is an international leading authority across a broad area of structural mechanics, including dynamics and stability, optimization and antioptimization, probabilistic methods, analysis of structures with uncertainty, refined theories, functionally graded material structures, and nanostructures. He was born in Kutaisi, Republic of Georgia, on February 9, 1944.

Figure P.2. Elishakoff in middle school in the city of Sukhumi, Georgia

Elishakoff holds a PhD in Dynamics and Strength of Machines from the Power Engineering Institute and Technical University in Moscow, Russia ( Figure P.4depicts the PhD defense of Prof. Isaac Elishakoff).

Figure P.3. Elishakoff just before acceptance to university. Photo taken in Sukhumi, Georgia

Figure P.4. Public PhD defense, Moscow Power Engineering Institute and State University; topic “Vibrational and Acoustical Fields in the Circular Cylindrical Shells Excited by Random Loadings”, and dedicated to the evaluation of noise levels in TU-144 supersonic aircraft

His supervisor was Prof. V. V. Bolotin (1926–2008), a member of the Russian Academy of Sciences ( Figure P.5shows Elishakoff with Bolotin some years later).

Figure P.5. Elishakoff with Bolotin (middle), member of the Russian Academy of Sciences, and Prof. Yukweng (Mike) Lin (left), member of the US National Academy of Engineering. Photo taken at Florida Atlantic University during a visit from Bolotin