example 30.45 Elastic waves in steel, and the distance to a source

open in the book · parts/03-classical-mechanics/13-continuum-elasticity.tex:1548 · p. 1024

example -- no derivation owed by its kind

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depends_on equation 30.35 eq:elast-wave-speeds ¶
depends_on proposition 30.44 The speed ratio is fixed by Poisson's ratio ¶
- depends_on equation 30.35 eq:elast-wave-speeds ¶ ↺
- depends_on proposition 30.33 Conversion among the moduli ¶
  - depends_on definition 30.31 The engineering moduli ¶
    - depends_on definition 30.20 Pressure and deviatoric stress ¶
      - depends_on proposition 30.19 The stress tensor is symmetric ¶
      - depends_on theorem 5.79 Spectral theorem for a self-adjoint operator ¶
    - depends_on equation 30.21 eq:elast-hooke-isotropic ¶
  - depends_on phenomenon 30.32 Poisson contraction ¶
    - depends_on phenomenon 30.28 Hooke's law ¶
      - depends_on definition 30.24 The elasticity tensor ¶
      - depends_on lemma 30.26 Isotropic Cartesian tensors of rank four ¶
      - proves proof ch:13-continuum-elasticity@proof-12 ¶
    - depends_on proposition 30.30 Stability bounds ¶
      - depends_on equation 30.23 eq:elast-energy-density ¶
      - depends_on theorem 5.116 Sylvester's law of inertia ¶
      - proves proof ch:13-continuum-elasticity@proof-13 ¶
    - proves proof ch:13-continuum-elasticity@proof-14 ¶
  - proves proof ch:13-continuum-elasticity@proof-15 ¶
- proves proof ch:13-continuum-elasticity@proof-22 ¶

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type	direction	node	provenance	where
`cites`	→	On the propagation of earthquake motion to great distances	derived	parts/03-classical-mechanics/13-continuum-elasticity.tex:1579
`depends_on`	→	eq:elast-wave-speeds	declared	parts/03-classical-mechanics/13-continuum-elasticity.tex:1580
`depends_on`	→	The speed ratio is fixed by Poisson's ratio	declared	parts/03-classical-mechanics/13-continuum-elasticity.tex:1580