Biomedical Engineering Reference
In-Depth Information
Fig. 5.16 Shape parameter
p effect on the V2P1
NNRPIM solution accuracy.
a Regular nodal distribution.
b Irregular nodal distribution.
Logarithmic scales
1.0E+03
(a)
E
f
med
tot
1.0E+00
1.0E-03
1.0E-06
1.0E-09
1.0E-12
p
1.0E-15
1.0E-04
1.0E-03
1.0E-02
1.0E-01
1.0E+00
1.0E+01
1.0E+03
(b)
E
f
med
tot
1.0E+00
1.0E-03
1.0E-06
1.0E-09
1.0E-12
p
1.0E-15
1.0E-04
1.0E-03
1.0E-02
1.0E-01
1.0E+00
1.0E+01
In the present three-dimensional study it was observed that the V1P0, V1P3,
V2P3 and V2P6 NNRPIM formulations produce highly irregular stress fields.
Since a linear displacement field is imposed in the cubic patch, constant stress
fields should be obtained. In the Table
5.6
it is also perceptible that the referred
V1P3, V2P3 and V2P6 NNRPIM formulations, when compared with the others
NNRPIM formulations, present a higher medium displacement error. As so, in
further three dimensional analyses only the V1P1, V2P0 or the V2P1 NNRPIM
formulations are considered. Due to the significant computational cost, in this
work, for the three-dimensional analysis the used integration scheme is the
''basic'' nodal based integration scheme.
