Biomedical Engineering Reference
In-Depth Information
Fig. 5.40 Medium shear
stress r
XY
errors obtained for
the: a regular nodal
distribution; b irregular nodal
distribution. Logarithmic
scales
(a)
(b)
Being t ¼ t
=ð
1
þ
t
Þ
and E ¼ E
ð
1
t
2
Þ
. The displacement constrains on the
essential boundary, C
u
2
X, must be considered as represented in Fig.
5.46
: u ¼
0:
8f
y
;
z
g2
2
^
y ¼ 0, being u ¼
f
u
;
v
;
w
g
.
Once again the problem was studied considering the two-dimensional analysis
and also the three-dimensional analysis, therefore several regular and irregular
nodal distributions, increasingly denser, were used to discretize the solid domain.
Nodal discretization examples are shown in Fig.
5.47
. As in previous studies, in
order to maintain a well-balance three-dimensional nodal distribution, the plate
thickness H depends on the inter-nodal average distance h indicated in Fig.
5.47
.
The problem was analysed considering the NNRPIM, the RPIM and the FEM.
The results regarding the displacement medium error, Eq. (
5.1
), are presented in
Fig.
5.48
for the two-dimensional analysis and the three-dimensional analysis.
2
^
x ¼ 0 and v ¼ 0:
8f
z
;
x
g2
R
R
