equation 30.23 eq:elast-energy-density

Rests on

No declared or derived dependency edges point away from this node yet.

Supports

• depends_on proposition 30.41 Energy balance and its flux ¶
  • depends_on theorem 30.42 Uniqueness in elastodynamics ¶
• depends_on proposition 30.76 Griffith's criterion ¶
  • depends_on example 30.77 Why glass is weak, and thin glass is not ¶
  • depends_on phenomenon 30.73 Yield and brittle fracture ¶
• depends_on proposition 30.30 Stability bounds ¶
  • depends_on phenomenon 30.43 Two bulk wave speeds ¶
    • depends_on phenomenon 30.47 The three seismic phases ¶
    • depends_on remark 30.46 Why the plane-wave route, and not the potentials ¶
  • depends_on phenomenon 30.32 Poisson contraction ¶
    • depends_on proposition 30.33 Conversion among the moduli ¶
      • depends_on definition 30.63 Flexural rigidity ¶
        • depends_on proposition A.684 The plate energy ¶
        • depends_on proposition A.682 The plane-stress law ¶
        • depends_on proposition 30.66 Chladni scaling ¶
        • depends_on remark A.704 $E^{*}$ in two roles, and one trap ¶
        • depends_on remark A.686 Why the operator comes out as $\nabla^{4}$ ¶
        • depends_on remark A.683 Where the factor $1-\nu^{2}$ comes from ¶
        • depends_on remark 30.68 Shells carry load in a different way ¶
        • depends_on theorem 30.64 The Kirchhoff plate equation ¶
      • depends_on example 30.35 From single crystals to the isotropic aggregate ¶
      • depends_on proposition A.682 The plane-stress law ¶ ↺
      • depends_on proposition 30.44 The speed ratio is fixed by Poisson's ratio ¶
        • depends_on example 30.45 Elastic waves in steel, and the distance to a source ¶
      • depends_on remark 30.36 How the moduli are actually measured ¶
  • depends_on proposition 30.34 Minimum of the potential energy ¶
    • depends_on example 30.35 From single crystals to the isotropic aggregate ¶ ↺
  • depends_on theorem 30.42 Uniqueness in elastodynamics ¶ ↺