Finite element prediction of fatigue damage growth in cancellous bone

Cyclic stresses applied to bones generate fatigue damage that affects the bone stiffness and its elastic modulus. This paper proposes a finite element model for the prediction of fatigue damage accumulation and failure in cancellous bone at continuum scale. The model is based on continuum damage mechanics and incorporates crack closure effects in compression. The propagation of the cracks is completely simulated throughout the damaged area. In this case, the stiffness of the broken element is reduced by 98% to ensure no stress-carrying capacities of completely damaged elements. Once a crack is initiated, the propagation direction is simulated by the propagation of the broken elements of the mesh. The proposed model suggests that damage evolves over a real physical time variable (cycles). In order to reduce the computation time, the integration of the damage growth rate is based on the cycle blocks approach. In this approach, the real number of cycles is reduced (divided) into equivalent blocks of cycles. Damage accumulation is computed over the cycle blocks and then extrapolated over the corresponding real cycles. The results show a clear difference between local tensile and compressive stresses on damage accumulation. Incorporating stiffness reduction also produces a redistribution of the peak stresses in the damaged region, which results in a delay in damage fracture.     

Staining and Histomorphometry of Microcracks in the Human Femoral Head

We developed staining techniques that permit identification and histomorphometric analysis of microcracks in the human femoral head 1) from thick, ground bone sections (100 μm) by prestaining with the Villanueva mineralized bone stain (MIBS), and 2) from plastic embedded, undecalcified thin bone sections (5-15 μm) by staining in gallocyanin chrome alum-Villanueva blood stain methods. Both methods represent a significant improvement in the stainability of the microcracks, cellular and tissue elements, and the simultaneous assessment of osteoid seams and tetracycline markers by histomorphometry. Shrinkage and other artifacts were minimized, which helped to clarify some of the uncertainties arising from artifacts resulting from some bone staining methods. Histomorphometric analyses of microcracks were conducted on thick, ground sections of subchondral and trabecular bone. Microcracks were more prevalent in the subchondral bone and osteochondral junction than in the more distant trabeculae. We have consistently localized microcrack areas in bone tissues prepared in these ways.