Page 252 - Introduction to Continuum Mechanics
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236 The Elastic Solid
In invariant form, the Navier equations of motion take the fon
5.6 Navier Equations in Cylindrical and Spherical Coordinates
In cylindrical coordinates, with w r> UQ, u z denoting the displacement in (r,0,z) direction,
Hooke's law takes the form of [See Sect. 2D2 for components of V/,Vu and divu in
cylindrical coordinates]
where
and the Navier's equations of motion are:
