Bone Tissue Remodelling Analysis - Meshless Methods in Biomechanics - page 273

Fig. 7.32 Second mechanical case. a Initial von Mises effective stress isomap. b Final von Mises
effective stress isomap. c Final obtained trabecular architecture

Fig. 7.33 Third mechanical case. a Initial von Mises effective stress isomap. b Final von Mises
effective stress isomap. c Final obtained trabecular architecture

second mechanical case and 4,200 cycles per day for the third mechanical case.
The results are presented in Fig. 7.35 .
Despite the good results obtained with the previously described load combi-
nation, another load combination was analysed, corresponding to the simultaneous
application of the three mechanical cases with 6,000 cycles per day for all the three
mechanical cases. In Fig. 7.36 it is possible to compare the evolution of bone
tissue trabecular architecture obtained for each one of the load combinations for
q control

app ¼ 0 : 4 g/cm 3 .
The results in Fig. 7.36 show a clear similitude with the X-ray plate presented
in Fig. 7.27 b and corroborate the empirical trabecular architecture suggested in
Fig. 7.27 c. These results indicate that it is possible with the proposed bone tissue
remodelling algorithm to achieve the internal trabecular bone structure if the
correct mechanical cases are known.

7.2.3 Femur

The femur bone is probably the most studied bone example available in the lit-
erature. The remodelling process of this long bone was analysed by several authors
using the two-dimensional analysis [ 14 - 22 ] and the three-dimensional analysis
[ 23 - 25 ]). In this section the bone tissue material law proposed in Sect. 6.2.2 and
the bone tissue remodelling algorithm presented in Sect. 6.3.5 are combined with