2005
DOI: 10.1007/s10439-005-8960-0
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Hydraulic Strengthening Affects the Stiffness and Strength of Cortical Bone

Abstract: A nonlinear, interstitial fluid flow constitutive model for cortical bone was developed to study the strain-rate dependency of cortical bone apparent modulus (Ea). Nine representative volume element (RVE) structural models of cortical bone spanning an effective pore volume fraction P range of 1-40% were examined. Dynamic loading conditions were used to study the fluid flow contribution or hydraulic strengthening (HS) effect on Ea for each RVE model. The model indicated that there is an upper and lower asymptot… Show more

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Cited by 28 publications
(23 citation statements)
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“…The larger viscoelasticity in wet bones compared to dry bones was also reported in human tibia [57] and bovine cortical bone [58]. Also, pore water present in wet bone, but not dry, contributes to hydraulic stiffening of bone as suggested by fluid flow constitutive models of cortical bone [59]. In an analytical model of cortical bone, loss of creep upon partial dehydration was attributed to the loss of bound water residing between mineral crystals, which facilitated ductile sliding (and thereby energy dissipation) between mineral crystals [60].…”
Section: Effect Of Thermal Dehydration On the Mechanical Properties Omentioning
confidence: 75%
“…The larger viscoelasticity in wet bones compared to dry bones was also reported in human tibia [57] and bovine cortical bone [58]. Also, pore water present in wet bone, but not dry, contributes to hydraulic stiffening of bone as suggested by fluid flow constitutive models of cortical bone [59]. In an analytical model of cortical bone, loss of creep upon partial dehydration was attributed to the loss of bound water residing between mineral crystals, which facilitated ductile sliding (and thereby energy dissipation) between mineral crystals [60].…”
Section: Effect Of Thermal Dehydration On the Mechanical Properties Omentioning
confidence: 75%
“…While, at present, this model is strictly phenomenological, some physically based models that show similar trends are available in the literature. For example, Liebschner & Keller [5] present a rate-dependent strength model for cortical bone based on the hydraulic strengthening (HS) hypothesis. The predicted range of behaviour is similar to that which can be obtained from a Maxwell element incorporating a nonlinear damper.…”
Section: Discussion Of Resultsmentioning
confidence: 99%
“…Previous researchers have utilized poroelastic finite-element simulations and calculated that relaxation times associated with fluid flow in the Haversian canals is also on the order of microseconds [23,24]. Furthermore, Liebschner and Keller have demonstrated that a shear-thickening fluid within a linear elastic solid structure mimicking that of cortical bone can lead to significant increases in apparent Young's modulus at rates of up to 10 3 s À1 [25]. These results agree closely with the predictions of our own model, suggesting that the higher-rate viscoelastic branch is potentially capturing a hydraulic stiffening effect.…”
Section: Discussionmentioning
confidence: 99%