Biomedical Engineering Reference
In-Depth Information
Fig. 7.60 a Distinct materials considered in the numerical model. b Geometry and nodal
distribution used in the analysis (4,723 nodes). c Considered essential and natural boundary
conditions
The implant system studied in this example is the same as in the previous
mandible examples. The mechanical properties of the individual structures indi-
cated in Fig. 7.60 a are presented in Table 7.3 . The solid domain was discretized in
an irregular nodal distribution with 4,723 nodes, Fig. 7.60 b. As in the previous
examples, two distinct loads acting simultaneously are considered: an occlusal
load F 0 = 100 N oriented 11 in relation to the implant longitudinal axis, once
more applied directly in the crow; and a uniform distributed pressure q 0 acting in
the vertical boundaries of the model. The uniform distributed pressure aims to
simulate the stress induced by the mandibular flexure [ 28 ] and the internal fluid
pressure.
Considering the results and the conclusion of the previous example, it is con-
sidered a much lower magnitude for the uniform distributed pressure:
q 0 = 0.5 kPa. The schematic representation of the applied force system is pre-
sented in Fig. 7.60 c. It is also possible to visualize in Fig. 7.60 c that the model is
constrained in the basis along x and y directions.
It was considered an initial uniform apparent density distribution q max
app ¼
2 : 1 g/cm 3 and, as in previous examples, the same three distinct medium bone
density control values were assumed: q control
app
¼ 0 : 90 g/cm 3 , q control
app
¼ 0 : 65 g/cm 3
and q control
app ¼ 0 : 40 g/cm 3 . A permanent cortical bone perimeter with a 0.5 mm
thickness was considered in the model top and bottom bone surface.
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