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| Villaggio P. — Mathematical models for elastic structures |
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| Предметный указатель |
Shock, conditions in continua 18
Shock, contact discontinuities in strings 339
Shock, Herrmann — Mindlin three-dimensional theory 59
Shock, influence of inertia on 53
Shock, Pochhammer — Chree's extension 57
Shock, Saint-Venant's dynamical theory 54—57
Shooting method in buckling of rods 280
Shooting method in membrane theory 372
Shooting method in rod theory 280
Signorini's method in elasticity 35
Signorini, A. 35 664
Simmonds, J.G. 90 91 129 199 530 600 602 629 658 659 661 662 664
Simple materials, definition of 8 9 21
Simpson, A. 312 315 664
Simulation in science viii
Slack regions in networks 390
Slack variables in a rectangular membrane over an obstacle 401
Slack variables in optimizing reinforced plates 487 490
Slack variables in rod optimization 235
Slipping of a tape or a cylinder 361
Snapping of a membrane 415
Snyder, J.M. 193 195 666
Sobolev embedding theorem in membrane theory 404
Sobolev embedding theorem in shell theory 576
Sobolev spaces,  , in nonlinear elasticity 36 37
Sobolev spaces,  , in treating Foeppl — Karman equations 516
Sobolev spaces,  in rod theory 277
Sobolev, S.L. 277
Sodhi, D.S. 596 598 664
Solids, definition of crystalline 23
Solids, definition of isotropic 23
Sommerfeld, A. 3 664
Spaghetti problem and its reverse 199
Spatial description 8
Stability of a bubble 419—420
Stability of a circular plate 532—535
Stability of a membrane 415
Stability, infinitesional of a beam 219 288
Stability, neutral of a beam 288
Stampacchia, G. 402 403 404 661
Starosel'skii, L.A. 135 655
Statically admissible stress field in the rod theory 74 126
Steele, C.R. 561 664
Stephen, N.G. 88 664
Sternberg, E. 73 75 664
Stevin, S. 303 664
Stoker, J.J. 265 404 532 567 656 664
Stokes, G.G. 3 20 30 100 664
Strain energy function for a developable surface 596
Strain energy function for the helical strip 594
Strain energy function in a nonlinear spring 341
Strain energy function in Berger's plate 522
Strain energy function in cables 196
Strain energy function in cables under hydrodynamic forces 312 313
Strain energy function in continua 27
Strain energy function in curved rods 132
Strain energy function in membranes 381
Strain energy function in rods 124—137
Strain energy function in shells 626 629 650
Strain energy function in strings 348
Strain energy function in taut cables 311
Strain energy function, nonconvex in bars 285—288
Strain tensor in Foeppl — Karman's theory 503
Strain tensor in Kirchhoff's theory of rods 167 168
Strain tensor in membranes 380 400 405 416
Strain tensor in nonlinearly elastic plates 539
Strain tensor in plates 455
Strain tensor in Reissner's plate 471
Strain tensor in rods 129 165
Strain tensor in shells 550 551 560 633 642
Strain tensor in strings 304
Strain tensor in the director rod theory 165
Strain tensor in the three-dimensional theory of shells 556
Strain tensor, Cauchy — Green, right and left 22 25 649
Strain tensor, extensional in shells 623 648
Strain tensor, Green — Saint-Venant's 161
Strain tensor, infinitesimal 26
Stress function in plane elasticity 102
Stress function in the suturing of membranes 431
Stress principle of Cauchy in continua 8
Stress principle of Cauchy in rods 165
Stress resultants for nonlinearly elastic rods 70
Stress resultants for thin walled beams 96
Stress resultants in cables 304
Stress resultants in linearly elastic rods 70—72 78—81 88—91
Stress resultants in membranes 366
Stress resultants in networks 386
Stress resultants in nonlinearly elastic plates 541
Stress resultants in plane plates 451 452
Stress resultants in pretwisted beams 124
Stress resultants in Reissner's plates 471
Stress resultants in rods 66 67
Stress resultants in shells 548 633
Stress resultants in the director theory of rods 165
Stress resultants in the presence of large strains 143
Stress tensor of Cauchy in continua 17
Stress tensor of Lagrange in membranes 381
Stress tensor of Piola — Kirchhoff 28
Stress tensor of Piola — Kirchhoff in shells 561 589 631 644
Stress tensor of Piola — Kirchhoff's in plates 541
Stress tensor, converted in rods 64
Stress tensor, material or second of Piola — Kirchhoff 21 37
Stress vector, Cauchy's in rods 65 147
Stress vector, Piola — Kirchhoff's in rods 65 66 147
Stretching tensor in continua 27
Strings in large strains 322—326
Strings under hydrostatic loads 312 313 331
Strings, equilibrium equations for 306—308
Strings, existence theory of 324
Strings, optimization of 331—333
Strings, peeling and slipping of 357—365
Strings, rotating 348—352
Strings, stiff or soft 351 352
Strong ellipticity condition for plates 543
Strong ellipticity condition for shells 565 645
Strong ellipticity condition in three-dimensional elasticity 33
Structure, incorrect theories of x
Structure, model of ix
Sturm theorem of comparison 180 375
Sturm, C. 180
Substantial particle, notion of 7
Suturing of plane membranes 429—433
| Synge and Prager's method in beams 129
Synge, J.L. 129 600 663 664
Szabo, L 3 53 54 459 577 664
Szeri, A.J. 643 664
Tabarrok, B. 312 315 664
Tachau, H. 210 658
Tadjbakhsh, I. 230 240 664
Tait, P.G. 3 28 660
Tamai, T. 225 664
Tang, Y.K. 582
Tarski, A. vii 664
Taylor, B. 546
Tchebychev nets, theory of 385
Tchebychev polynomials in the treatment of elastica 184
Tchebychev, P.L. 183 385 665
Telega, J.J. 484 661
Temperature, notion of 7
Tevendran, V. 334 665
Thermodynamics, first law of 19
Thermoelastic materials, general 22
Thermoelastic materials, linear 31
Thin-walled beams, Vlasov's hypothesis 95
Thin-walled beams, Vlasov's integrodifferential equations for 99
Thin-walled beams, Vlasov's theory of 5 93—100
Third fundamental form in shell theory 561
Thurston, G.A. 606 665
Tie-rods 204 205
Tielking, J.T. 399 659 665
Timoshenko, S. 81 665
Ting, L. 428 665
Todhunter, I. 27 665
Toepliz, O. 581
Tolke, F. 435 665
Torsion-flexure axes in a beam 108 141 164
Torsional rigidity of a rod 72
Torsional rigidity, generalized 135
Total energy of a beam 74
Total energy of a cable 312
Total energy of a membrane 423
Total energy of a spherical shell 652
Total potential energy in a beam 74 119
Total potential energy in a cable 312
Total potential energy in a hyperelastic body 36
Total potential energy in a pretwisted beam 119
Total potential energy in a taut cable 312
Total potential energy in Berger's plate 522
Total potential energy of a buckled rod 173
Total potential energy of a buckled shell 617
Total potential energy of a hyperelastic shell 642
Total potential energy of a plate with variable thickness 480
Total potential energy of a shallow membrane 416
Total potential energy of a thick plate 475
Total potential energy of an inflated membrane 401 423
Toupin, R.A. 9 164 165 665
Transport theorem in continua 13
Transport theorem in the presence of a singular surface 14
Trosch, A. 245 665
Truesdell, C. 4 5 9 11 20 30 61 64 135 164 165 303 555 665
Truskinovkii, L. 285 656
Trusses, Michell's theory of 5
Tsien, H.S. 415 418 419
Tutek, Z. 161 657
Twists, initial twists in beams 117—125 154
Unilateral constraints in membranes 392—404
Unilateral constraints in networks 390
Unilateral constraints in strings 336—339
Unimodular transformation 23
v. der Waals, J.D. 288
Vailati, G. 5 6
Variational derivation of the dynamical equations of a beam 253 254
Velaria, problem of 303
Velocity, definition of 9
Velocity, transport velocity, in dynamical peeling 363
Venkateswara, G.R. 181
Verma, G.R. 331 665
Vielsack, P. 224 605
Virga, E. 8 662
Viscosity criterion 347
Vlasov, V.Z. 5 93 95 98 555 556 558 574 665
Vogehus, M. 472 482 662
Voigt, W. 73 665
Volterra integral equation, with singular kernel 284
Volterra, V. 284
Volume, element of 11
Vorovich, I.I. 573 665
Wang, C.-Y. 176 177 208 255 256 665
Wang, C.M. 334 665
Wang, S.F. 177 659
Warping function in beams 118 139
Watson, L.T. 208 256 665
Waves of rarefaction 346
Waves, definition of 11
Waves, longitudinal 346
Waves, Riemann's problem for 347
Weak formulation of a boundary value problem 38
Weakly closed functional in rod theory 277
Weakly lower semicontinuous functional in plate theory 492
Weakly lower semicontinuous functional in rod theory 277
Weinberger, H.F. 3 292 308 368 369 370 371 445 662 663 666
Weiss, P. 663
Wempner, G. 110 666
Wilkes, E. x
Williams, K.A.J. 617 660
Wilson, J.M. 193 195 666
wires 210—218
Wires, bird-cage condition for 212
Wires, theory of suspended 204
Wittgenstein, L. 1
Worch, G. 81 102 112 583 666
Work consistent displacements 91
Work, done by the inertial forces 249
Wrinkled states of plates 532—535
Wu, C.H. 429 433 666
Yabuta, T. 195 198 666
Yang, W.H. 392 399 659 666
Yoshizawa, N. 195 198 666
Young's modulus 31
Young, A.E. 204
Young, T. 31
Zachman, D. 243 666
Zerna, W. 582 659
Ziegler, H. 259 666
Zveriaev, E.M. 563 666
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