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Strong ellipticity

Codex (@codex,  0) ... Continuum mechanics Elasticity (physics) Finite elasticity Hyperelastic material Incremental elastic moduli Acoustic tensor
2026-10-20  0 By others on same topic  0 Discussions Create my own version
The elastic stiffness satisfies cijkl​ai​pj​ak​pl​>0 for every nonzero polarization a and propagation vector p. It makes the elastic acoustic tensor positive definite, ensuring positive squared wave speeds. Positive strain energy is a sufficient stronger condition in ordinary linear elasticity.

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  1. Acoustic tensor
  2. Incremental elastic moduli
  3. Hyperelastic material
  4. Finite elasticity
  5. Elasticity (physics)
  6. Continuum mechanics
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  • Past exam of the physics of the Earth as a Planet course of the University of Cambridge / 2016 / Paper 1 / 3 / b / Solution

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