Biomedical Engineering Reference
In-Depth Information
Fig. 3.11 a Initial (ICFG)
and current (CCFG)
configuration of a material
body, b displacement field of
a material body
x
¼
v
ð
X
;
t
Þ
ð
3
:
47
Þ
whereby through v a concrete deformation process (for example: pull, pressure,
shear strain, bending) for every material point X of the body
K
is represented. For
another material point Y with the location vector Y in the ICFG and y in the CCFG
the relation is represented by: y
¼
v
ð
Y
;
t
Þ
.
Using (
3.47
), for every time point t, the current location x of the material point
X, which was previously in the location X in the ICFG, is clearly specified.
Continuous transient mappings v of all material body points X of body
K
are
called motion of the body (see dotted momentary locations of the body in
Fig.
3.12
). Successive imaging of a single point X is termed trajectory
(or ''Destiny'') of X (see Fig.
3.12
). If t
¼
t
0
in (
3.47
), motion according to
v
ð
X
;
t
0
Þ¼
X is transformed into the location X of the particle X in the ICFG
(see Fig.
3.11
a).
