Generalized Hooke's law
Acoustics - Propagation in a solid

Article REF: AF3814 V1

Generalized Hooke's law
Acoustics - Propagation in a solid

Authors : Daniel ROYER, Eugène DIEULESAINT

Publication date: January 10, 2001, Review date: October 21, 2019 | Lire en français

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1. Generalized Hooke's law

Let's summarize the main results obtained in the fascicles and .

Equation 28 of [AF 3 810] expresses the conservation of momentum with the displacement u :
$ρ \frac{d^{2} u_{i}}{d t^{2}} = {ρF}_{i} + \frac{\partial T_{ij}}{\partial x_{j}}$

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References

(1) - ROYER (D.), DIEULESAINT (E.) - Ondes élastiques dans les solides, Tome 1. Propagation libre et guidée, - p. 120-121, Masson, Paris (1996).
(2) - KINO (G.S.) - Acoustic waves, devices, imaging and analog signal processing, - Prentice-Hall, Englewood...

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