Biomedical Engineering Reference
In-Depth Information
Fig. 5.34 Medium normal
stress r
YY
errors obtained for
the: a regular nodal
distribution; b irregular nodal
distribution. Logarithmic
scales
(a)
(b)
other numerical approaches, it is possible to confirm that the NNRPIM is capable
to produce more accurate stress fields.
In Figs.
5.41
,
5.42
and
5.43
the results for the three-dimensional analysis are
presented. The three-dimensional solution was compared with the analytical
solution presented in Eqs. (
5.11
) and (
5.12
), neglecting the displacements and the
stress components in the oz direction. It is possible to observe that for the present
analysis the NNRPIM results generally are better than the RPIM results, consis-
tently presenting a high convergence rate, indicating that higher accuracy can be
achieved if denser meshes are used.
In Fig.
5.44
a it is presented the obtained normal stress r
xx
distribution along the
interest line x ¼ 0
^
y
2
½0
;
D
of the solid domain X
2
considering a regular
nodal discretization of 81
41 ¼ 3
;
321 nodes. The distribution of the obtained
R
