ElsevierVercher Martínez, A.; Giner Maravilla, E.; Arango Villegas, C.; Fuenmayor Fernández, FJ. (2015). Influence of the mineral staggering on the elastic properties of the mineralized collagen fibril in lamellar bone.
AbstractIn this work, a three-dimensional finite element model of the staggered distribution of the mineral within the mineralized collagen fibril has been developed to characterize the lamellar bone elastic behaviour at the sub-micro length scale. Minerals have been assumed to be embedded in a collagen matrix, and different degrees of mineralization have been considered allowing the growth of platelet-shaped minerals both in the axial and the transverse directions of the fibril, through the variation of the lateral space between platelets. We provide numerical values and trends for all the elastic constants of the mineralized collagen fibril as a function of the volume fraction of mineral. In our results, we verify the high influence of the mineral overlapping on the mechanical response of the fibril and we highlight that the lateral distance between crystals is relevant to the mechanical behaviour of the fibril and not only the mineral overlapping in the axial direction.
In this work, a procedure is proposed to estimate the critical energy release rate G c of the so-called cement line in cortical bone tissue. Due to the difficulty of direct experimental estimations, relevant elastic and toughness material properties at bone microscale have been inferred by correlating experimental tests and finite element simulations. In particular, three-point
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