Page 251 - Introduction to Continuum Mechanics

Equations of the Infinitesimal Theory of Elasticity 235

Example 5.5.1

Combine Eqs. (5.5.7),(5.5.8) and (5.5.9) to obtain the Navier's equations of motion in terms
of the displacement components only.
Solution. From

we have

Now,

Therefore, the equation of motion, Eq. (5.5.7), becomes

In long form, Eqs. (5,5.11) read

where