Biomedical Engineering Reference
In-Depth Information
Table 7.10 Maximum stress values S 11 ,S 33 and S 12 prior to and after shape optimization (in the
sagittal plane)
Mises
(MPa)
S 11 (MPa)
S 33 (MPa)
S 13 (MPa)
Max
Tension
Compression
Tension
Compression
Max
Min
Prior to
optimization
0.0100
0.0028
-0.0142
0.0021
-0.0140
0.0021
-0.0140
After
optimization
0.0023
0.0015
-0.0087
0.0011
-0.0085
0.0011
-0.0008
Fig. 7.60 a graphic representation of stress from Table 7.9 (transversal plane) and b from
Table 7.1 0(sagittal plane)
topology optimization procedure shown in Sect. 7.2.3 led to the optimized seat
contour depicted in Fig. 7.58 a and the tissue stress distribution depicted in
Fig. 7.58 b, due to mechanical interaction with the male Boss-Model. As a result of
surface topology optimization in the sagittal plane, and similar to tissue stress
reduction from optimization in the transversal plane, direct compressive tissue
stress
S 22
(absolute
values)
was
reduced
by
40
%
(from
-0.0139
to
-
0.0083 MPa).
In Table 7.9 and Fig. 7.60 b the direct stress components S 11 and S 33 , as well as
shear stress S 12 , at the ischial tuberosity prior to and after seat surface optimization
in conjunction with the male human model are depicted. In Fig. 7.59 direct stress
components S 11 ,S 33 and S 12 , as well as VON M ISES equivalent stress, is shown in
the transversal plane. The seat surface optimization led to a distinct reduction of
compressive,
tensile
and
shear
stress
(absolute
values
in
Table 7.10
and
Fig. 7.60 b) after surface shape optimization.
7.3.1.3 Generation of the Optimized Seat Surface in Three Dimensions
Based on the separate procedures, i.e. seat surface optimization in the transversal
and sagittal planes and employing plane-strain models, an optimized seat shape
was generated in 3D. This was accomplished by extrusion of either the optimized
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