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the present study was designed to determine whether microdamage accumulation is quantitatively reflected in nonlinear ultrasonic properties, notably the nonlinear elasticity parameter f. in fact, a relevant question that remains open is whether nonlinear elastic properties such as f are actually influenced by the accumulated microdamage or whether the nonlinearity arises from the grain size level of the mineral content of bone. to answer this question, we used a method to avoid the influence of microcracks by measuring nonlinear ultrasonic properties on the undamaged region only. under these conditions, a correlation between nonlinear ultrasonic properties and microdamage characteristics was evidenced, however only for some samples, implying that the nonlinear elasticity was more sensitive to damage than the microcrack density. from a statistical point of view, such a spearman correlation coefficient (rho=0.66, p<0.02) is not significant since a statistical test can be rejected at a p-value less than 5% and the presence of outliers.

between 2007 and 2010, the human bone specimens were provided by the musée de l’homme in paris, france and included specimens from the femoral diaphysis, the femoral neck and femoral condyle. all the experiments were approved by the c2ea ethics committee on human experimentation and each donor gave informed consent to the use of the specimens for research. specimens were sampled with a hamotec ucv-ii (hamotec co., r32), a high speed diamond-wire saw equipped with a low speed vibratory cutting head. subsequently, specimens were micro-drilled with a 2-mm diameter drill bit. specimens were studied using a non-contact laser-ultrasonic echographic velocimetry (nrus) system [40], using piezoelectric transducers at the surface of the specimens. all specimen had a thickness of 500m. all ultrasonic measurements were performed at frequency 20mhz on the middle cross-section of each specimen, corresponding to 750m+500m to the bone surface. nrus technique, high frequency application, was carried out, using piezoelectric transducers at the surface of the specimens, and subsequently, 2-d cross-sectional images of the cortical bone were constructed from 1.4m-thick slices sr-ct data, using sr-ct reconstruction algorithm [42]. each specimen has been numerically sampled eleven times on the cross-section by averaging a number of eighteen adjacent 1.4m-thick slices in order to achieve transverse cross-section images with a depth of field of 25m equivalent to those obtained with nrus. nonlinear elastic parameter f was evaluated at each steps of the fatigue protocol as described in the previous paragraph. for each damage step, microcracks leading to the surface were excluded, then microcracks leading to the surface were left to the surface. group 1 (n=8) includes all specimens having undergone the first three damage steps, group 2 (n=4) includes all specimens having undergone all the four steps.




since the discovery of microcracks in bone, it has been suggested that microcracks have beneficial effect on the properties of bone by facilitating mineralization, decreasing stiffness, increasing porosity and improving toughness [88], [91], [101]. the first study on the effect of microcracks on the mechanical behavior of bone was performed by sajeev et al. in 2001 [117]. using the technique of μct (micro-computed tomography) and mechanical testing, their observations showed that the mechanical behavior of the rabbit femur has similar characteristics before and after microdamage formation with the presence of microcracks. however, the mechanical properties of the femur changed significantly with the formation of microcracks because bone tissue was more brittle and strength of the whole bone was higher. lethaby et al. showed that the crack growth rate (g) for the stress- or strain-dominated fracture of trabecular bone of the human femur is attributed to the fundamental features (size, spacing and orientation) of the trabecular structure, which can be expressed by the crack growth theory, using the experimental methods [119] and [125]. in the present study, the evolution of microcracks and crack growth characteristics during fatigued cycling was studied for the first time in bovine tibia using the technique of micro-computed tomography, and mechanical testing. 5ec8ef588b


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