example 30.13 A rigid rotation forges a strain of $-\theta^{2}/2$

Rests on

• depends_on definition 30.6 Linear strain and infinitesimal rotation ¶
  • depends_on definition 13.91 Symmetric and antisymmetric parts ¶
  • depends_on equation 30.2 eq:elast-displacement ¶
• depends_on proposition 30.12 The Green strain measures length exactly ¶
  • depends_on definition 30.11 Green strain ¶
    • depends_on definition 30.6 Linear strain and infinitesimal rotation ¶ ↺
    • depends_on equation 30.2 eq:elast-displacement ¶ ↺
  • depends_on definition 13.118 Line element ¶
    • depends_on definition 13.117 Metric tensor of signature $(p,q)$ ¶
      • depends_on definition 13.48 Differentiable manifold ¶
        • depends_on definition 13.47 Differentiable structure ¶
      • depends_on definition 13.84 Tensor ¶
        • depends_on definition 13.83 Covector ¶
        • depends_on definition 13.81 Vector on a manifold ¶
  • proves proof ch:13-continuum-elasticity@proof-4 ¶

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