Biomedical Engineering Reference
In-Depth Information
Fig. 5.26 Medium normal
stress r
XX
errors obtained for
the: a regular nodal
distribution; b irregular nodal
distribution. Logarithmic
scales
(a)
(b)
In Fig.
5.29
it is presented the stress distribution along interest lines of the solid
domain X
2
considering a regular nodal discretization of 41 9 41 = 1,681
nodes. In Fig.
5.29
a it is possible to observe the development of the normal stress
r
xx
along the line x ¼ 0
^
y
2
½0
;
D
. The distribution of the shear stress r
xy
is
presented along the line x ¼ L
=
2
^
y
2
½0
;
D
in Fig.
5.29
b. Notice that the stress
field obtained with the NNRPIM and the RPIM is very close with the analytical
solution. In Fig.
5.30
the displacement field and the stress field distributions for the
complete problem domain X
R
2
are displayed and it is possible to observe the
extremely smooth variable field produced with the NNRPIM.
The same problem is now analysed considering X
R
3
, as represented in
Fig.
5.31
a. The material properties are: E ¼ 1 kPa and t ¼ 0
:
3. In the natural
boundary, C
t
2
X, of the solid domain the stress field defined in Eq. (
5.7
) is applied
neglecting the stress in the oz direction. The following displacement imposition on
R
