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Introduction to the Variational Formulation in Mechanics
book

Introduction to the Variational Formulation in Mechanics

by Edgardo O. Taroco, Pablo J. Blanco, Raúl A. Feijóo
February 2020
Intermediate to advanced
608 pages
20h 42m
English
Wiley
Content preview from Introduction to the Variational Formulation in Mechanics

Index

  • N δ (a)‐neighborhood 540
  • images
    • inner product 20
    • set of third order tensors 18
    • transpose operations 18
  • Lin
    • Skw subspace of 9
    • Sym subspace of 9
    • bases 11
    • inner product 10, 11, 14
    • norm 14
    • set of linear transformations 6
    • trace operation 11, 13
    • vector space 6
  • Orth351
    • orthogonal tensor set 15
  • Rot
    • rotation tensor set 15
  • Skw
    • set of skew‐symmetric tensors 8
    • vector space 8
  • Sym
    • set of symmetric tensors 8
    • vector space 8

a

  • accumulated plastic strain 241
  • accumulation point 540
  • acceleration 57
    • material description 57
  • admissible domain 237
  • application 504
  • approximate solutions 148

b

  • basis functions 151, 220
    • compact support 151
  • Bauschinger effect 231, 232, 243
  • beam 140, 141, 191, 192, 281
    • bending stress 289
    • Bernoulli hypotheses 192
    • Bernoulli–Euler beam model 290, 292, 298
    • Bernoulli–Euler motion actions 287, 288, 294
    • buckling 282
    • cantilevered 141, 217
    • creep potential 198
    • cross‐section 141
    • curvature 282
    • essential boundary conditions 291
    • Euler–Lagrange equations 292, 296
    • external generalized forces 289, 290, 296
    • generalized forces 289
    • generalized stresses 195, 289
    • initial curvatures 282
    • internal generalized forces 289
    • jump equations 292, 298
    • kinematical model 289
    • model 285
    • natural boundary conditions 292, 297
    • neutral line 286
    • neutral surface 285
    • normal stress 289
    • strain actions 286
    • strain energy 282
    • strain rate operator 289
    • Timoshenko kinematics 296
    • Timoshenko beam ...
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ISBN: 9781119600909Purchase Link