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Part III ›
Continuum Mechanics and Elasticity
Continuum Mechanics and Elasticity
foundations results +18 more equations phenomena depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) depends_on (declared) notation 30.1: Strain and displacement share a letter 30.1 Strain and displ… definition 30.2: Representative volume element; continuum field 30.2 Representative v… definition 30.4: Material and spatial descriptions 30.4 Material and spa… definition 30.6: Linear strain and infinitesimal rotation 30.6 Linear strain an… definition 30.11: Green strain 30.11 Green strain definition 30.17: Traction 30.17 Traction definition 30.20: Pressure and deviatoric stress 30.20 Pressure and dev… definition 30.22: Boundary conditions of elastostatics 30.22 Boundary conditi… definition 30.24: The elasticity tensor 30.24 The elasticity t… definition 30.31: The engineering moduli 30.31 The engineering… definition 30.37: Voigt notation 30.37 Voigt notation definition 30.63: Flexural rigidity 30.63 Flexural rigidity definition 30.79: Maxwell viscoelasticity 30.79 Maxwell viscoela… proposition 30.7: Strain is a Cartesian tensor of rank two 30.7 Strain is a Cart… proposition 30.8: The trace is the fractional volume change 30.8 The trace is the… proposition 30.9: Principal strains 30.9 Principal strains proposition 30.12: The Green strain measures length exactly 30.12 The Green strain… proposition 30.14: Saint-Venant compatibility is necessary 30.14 Saint-Venant com… theorem 30.15: Compatibility is sufficient on a simply connected body 30.15 Compatibility is… theorem 30.18: Cauchy: the stress tensor exists 30.18 Cauchy: the stre… proposition 30.19: The stress tensor is symmetric 30.19 The stress tenso… theorem 30.21: Cauchy's equation of motion 30.21 Cauchy's equatio… proposition 30.23: Virtual work; the weak form 30.23 Virtual work; th… proposition 30.25: Twenty-one constants 30.25 Twenty-one const… lemma 30.26: Isotropic Cartesian tensors of rank four 30.26 Isotropic Cartes… proposition 30.30: Stability bounds 30.30 Stability bounds equation 30.1: eq:elast-scale-separation eq. (30.1) equation 30.2: eq:elast-displacement eq. (30.2) equation 30.5: eq:elast-deviatoric-strain eq. (30.5) equation 30.7: eq:elast-green-strain eq. (30.7) equation 30.9: eq:elast-compatibility eq. (30.9) equation 30.21: eq:elast-hooke-isotropic eq. (30.21) equation 30.23: eq:elast-energy-density eq. (30.23) equation 30.35: eq:elast-wave-speeds eq. (30.35) equation 30.50: eq:elast-euler-load eq. (30.50) equation 30.55: eq:elast-torsion-constant eq. (30.55) equation 30.60: eq:elast-hertz eq. (30.60) equation 30.63: eq:elast-griffith eq. (30.63) phenomenon 30.28: Hooke's law 30.28 Hooke's law phenomenon 30.32: Poisson contraction 30.32 Poisson contract… phenomenon 30.43: Two bulk wave speeds 30.43 Two bulk wave sp… phenomenon 30.47: The three seismic phases 30.47 The three seismi… phenomenon 30.52: Euler buckling 30.52 Euler buckling phenomenon 30.60: Coulomb's law of torsion 30.60 Coulomb's law of… phenomenon 30.65: Chladni figures 30.65 Chladni figures phenomenon 30.70: Hertzian contact 30.70 Hertzian contact phenomenon 30.73: Yield and brittle fracture 30.73 Yield and brittl… The chain of Continuum Mechanics and Elasticity: 47 of 65 objects, read left to right from what the chapter assumes to what tests it. Solid lines are declared logical edges, dashed ones were inferred from the structure of the source. Click any node to open its own chain.