remark 30.39 The rari-constant controversy, decided by measurement

open in the book · parts/03-classical-mechanics/13-continuum-elasticity.tex:1312 · p. 1021

remark -- no derivation owed by its kind

Rests on

depends_on definition 30.37 Voigt notation ¶
- depends_on definition 30.24 The elasticity tensor ¶
  - 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 theorem 30.18 Cauchy: the stress tensor exists ¶
    - depends_on definition 30.17 Traction ¶
      - depends_on definition 7.126 Line and surface integrals ¶
      - depends_on definition 30.2 Representative volume element; continuum field ¶
    - depends_on definition 13.5 Tensor under orthogonal transformations ¶
      - depends_on definition 13.4 Orthogonal coordinate transformation ¶
    - proves proof ch:13-continuum-elasticity@proof-7 ¶
- depends_on proposition 30.25 Twenty-one constants ¶
  - depends_on definition 30.24 The elasticity tensor ¶ ↺
  - depends_on proposition 7.105 Clairaut–Schwarz ¶
    - depends_on definition 7.20 Continuity at a point ¶
      - depends_on definition 7.16 Limit ¶
      - depends_on equation 7.7 eq:ana-limit-left ¶
      - depends_on equation 7.5 eq:ana-limit-right ¶
    - depends_on theorem 7.35 Mean value theorem ¶
      - depends_on proposition 7.29 Linearity ¶
      - depends_on theorem 7.34 Rolle ¶
      - proves proof ch:05-real-analysis@proof-19 ¶
    - proves proof ch:05-real-analysis@proof-64 ¶
  - proves proof ch:13-continuum-elasticity@proof-11 ¶
depends_on proposition 30.38 The Cauchy relations ¶
- depends_on definition 30.24 The elasticity tensor ¶ ↺
- depends_on proposition 30.25 Twenty-one constants ¶ ↺
- proves proof ch:13-continuum-elasticity@proof-17 ¶

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type	direction	node	provenance	where
`cites`	→	Leçons sur la théorie mathématique de l'élasticité des corps solides	derived	parts/03-classical-mechanics/13-continuum-elasticity.tex:1320
`cites`	→	Mémoire sur les lois de l'équilibre et du mouvement des corps solides élastiques	derived	parts/03-classical-mechanics/13-continuum-elasticity.tex:1318
`cites`	→	Mémoire sur l'équilibre et le mouvement des corps élastiques	derived	parts/03-classical-mechanics/13-continuum-elasticity.tex:1318
`cites`	→	Lehrbuch der Kristallphysik (mit Ausschluss der Kristalloptik)	derived	parts/03-classical-mechanics/13-continuum-elasticity.tex:1326
`depends_on`	→	Voigt notation	declared	parts/03-classical-mechanics/13-continuum-elasticity.tex:1336
`depends_on`	→	The Cauchy relations	declared	parts/03-classical-mechanics/13-continuum-elasticity.tex:1336