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,
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