Biomedical Engineering Reference
In-Depth Information
Fig. 7.14 a Cubic patch model submitted to a diagonal load. b Regular nodal discretization
(2,744 nodes). c Cubic patch section cut [ 1 ]
To end this section dedicated to the three-dimensional bone patch analysis, the
same cubic bone patch with dimensions 2 2 2mm 3 is analysed, however in
this case surface loads F ¼ 1 : 0N/mm 2 are cross diagonally applied in square areas
on the top of the cubic patch, Fig. 7.16 a. The essential boundary conditions are
the same as in previous analysis, the bottom four square areas locally constrain the
cubic patch movement in all directions. The problem is analysed considering the
same regular nodal distribution presented in Fig. 7.14 b. With this example it is
expected to stimulate torsion effects in the bone patch, and in response the bone
should resist remodelling into a suitable trabecular structure. In order to observe
the internal bone reorganization, four sections are made in the cubic patch,
Fig. 7.16 b.
The present analysis was performed using three distint bone tissue material
laws. For the three performed analyses, the remodelling algorithm assumed
a = b = 0.01 and a control medium apparent density q control
app
¼ 0 : 4 g/cm 3 .
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