3.12
Time Rate of Change of a Material Element
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3.11 Rotation Tensor
We
need to compute the rate of change
at time
t. Let
us use spatial coordinates
and
denote

Note
that in this definition
is defined with respect to the
spatial coordinate system, e.g.
and not
![]()
Velocity
gradient =
=
where
(), j with respect to spatial coordinates
Thus

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