Previous: 4.10(f) Second P-K (Cont'd)
We
defined the Cauchy’s stress
in
terms of current forces and current geometry.
,
the first Piola-Kirchoff stress was defined using the current force and original
configuration.
is
similar to the engineering stress but is unsymmetric due to the rotated forces
in the current configuration. We know that in terms of cauchy’s stress,
where
is
the body force /mass and
is
current density and
is
the acceleration.
The
above equation can also be written as
We can easily show that (1) can also be written as
all in terms of original geometry and first P-K stress. Thus in terms of
material coordinates,
10/23/01 0:59:32 10/25/01 0:05:34