Page 103 - Introduction to Continuum Mechanics
P. 103
88 Kinematics of a Continuum
we have, since the base vectors e j_,c 2, and e 3 do not change with time
where
i.e,
Or, in a form valid for all coordinate systems:
In dyadic notation, the above equation is written as
(B)Cyliitdrical Coordinates (r,0,z). With
v = v,{r,0,z)e r+v0(r,0^)e0+v z(r,<9^)e 2
and,[ see Eq. (2D2.4)]
we have,