equation 30.2 eq:elast-displacement

Rests on

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Supports

• depends_on definition 30.11 Green strain ¶
  • depends_on proposition 30.12 The Green strain measures length exactly ¶
    • depends_on example 30.13 A rigid rotation forges a strain of $-\theta^{2}/2$ ¶
• depends_on definition 30.6 Linear strain and infinitesimal rotation ¶
  • depends_on definition A.680 Kirchhoff kinematics ¶
    • depends_on lemma A.687 Kinetic energy ¶
      • depends_on theorem A.688 The Kirchhoff plate equation ¶
        • depends_on remark A.690 Poisson's count, and why it cannot be right ¶
        • depends_on theorem A.691 Kirchhoff's edge conditions and the corner force ¶
    • depends_on lemma A.681 Strains under the Kirchhoff hypothesis ¶
      • depends_on proposition A.684 The plate energy ¶
        • depends_on lemma A.685 The Gaussian-curvature term is a null Lagrangian ¶
        • depends_on theorem A.688 The Kirchhoff plate equation ¶ ↺
  • depends_on definition 30.24 The elasticity tensor ¶
    • depends_on definition 30.37 Voigt notation ¶
      • depends_on remark 30.39 The rari-constant controversy, decided by measurement ¶
    • depends_on phenomenon 30.28 Hooke's law ¶
      • depends_on phenomenon 30.32 Poisson contraction ¶
        • depends_on proposition 30.33 Conversion among the moduli ¶
      • depends_on remark 30.78 Anharmonicity: what the quadratic energy also suppresses ¶
    • depends_on proposition 30.25 Twenty-one constants ¶
      • depends_on definition 30.37 Voigt notation ¶ ↺
      • depends_on proposition 30.38 The Cauchy relations ¶
        • depends_on remark 30.39 The rari-constant controversy, decided by measurement ¶ ↺
      • depends_on theorem A.675 Three constants for a cubic crystal, two for an isotropic solid ¶
        • depends_on remark A.676 The third cubic constant is measured, and it is not small ¶
    • depends_on proposition 30.38 The Cauchy relations ¶ ↺
    • depends_on remark 30.78 Anharmonicity: what the quadratic energy also suppresses ¶ ↺
    • depends_on theorem A.675 Three constants for a cubic crystal, two for an isotropic solid ¶ ↺
  • depends_on definition 30.11 Green strain ¶ ↺
  • depends_on example 30.13 A rigid rotation forges a strain of $-\theta^{2}/2$ ¶ ↺
  • depends_on example 30.10 Simple shear and pure shear are the same strain ¶
  • depends_on lemma A.681 Strains under the Kirchhoff hypothesis ¶ ↺
  • depends_on proposition 30.14 Saint-Venant compatibility is necessary ¶
    • depends_on theorem 30.15 Compatibility is sufficient on a simply connected body ¶
  • depends_on proposition 30.8 The trace is the fractional volume change ¶
  • depends_on proposition 30.9 Principal strains ¶
    • depends_on example 30.10 Simple shear and pure shear are the same strain ¶ ↺
  • depends_on proposition 30.7 Strain is a Cartesian tensor of rank two ¶
• depends_on proposition 30.8 The trace is the fractional volume change ¶ ↺