The effects of Haversian fluid pressure and harmonic axial loading on the poroelastic behaviors of a single osteon

Wu, Xiaogang; Chen, Weiyi; Gao, Zhipeng; Guo, Hongmei; Wang, Lili

doi:10.1007/s11433-012-4829-z

Cited by 9 publications

(17 citation statements)

References 31 publications

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“…1, the osteon is modeled as an annular cylinder in cylindrical coordinate (r, θ, and z); a, b are inner (Haversian canal surface) and outer radius, respectively, and h is the height of the osteon. The model is supposed to be axisymmetric and the fluid flows only in the radial direction, both the radial displacement u r and pressure p depend only on the radius r and time t with the solution form of u r = u r0 (r)e iωt and p = p 0 (r)e iωt [1,5,[8][9][10][11]13]. The governing equation of p 0 (r) is derived as [1,13] …”

Section: Osteon Modelsmentioning

confidence: 99%

“…M is the Biot's modulus, μ is the pore fluid dynamic viscosity, k is the permeability for the isotropic plane (r-θ). c is an integral constant [1,13]. The osteon is shaped as a annular cylinder with cyclic and uniform load applied in the longitudinal direction.…”

Section: Osteon Modelsmentioning

confidence: 99%

“…where p h1 and p h2 are the fluid pressure magnitudes in Haversian canal [1] for Case III and Case IV, respectively.…”

Section: Osteon Modelsmentioning

confidence: 99%

“…In order to well understand this mechanism, studies should be conducted at the level of osteon [1]. Osteons are cylindrical structures of 100-150 μm [2] radii that lie very roughly along the long axes of a cortical bone and contain a Haversian canal at their center [2].…”

Section: Introductionmentioning

confidence: 99%

“…Thus, we proposed an osteon model with Haversian fluid considered in Ref. [1] to examine the effects of Haversian fluid pressure on the osteonal poroelastic behaviors. In the present paper, we firstly presented a direct comparison between the hollow osteon model and the osteon model with Haversian fluid considered with the same two boundary conditions.…”

Section: Introductionmentioning

confidence: 99%

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Poroelastic behaviors of the osteon: A comparison of two theoretical osteon models

Chen

2013

Acta Mech Sin

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In the paper, two theoretical poroelastic osteon models are presented to compare their poroelastic behaviors, one is the hollow osteon model (Haversian fluid is neglected) and the other is the osteon model with Haversian fluid considered. They both have the same two types of impermeable exterior boundary conditions, one is elastic restraint and the other is displacement constrained, which can be used for analyzing other experiments performed on similarly shaped poroelastic specimens. The obtained analytical pressure and velocity solutions demonstrate the effects of the loading factors and the material parameters, which may have a significant stimulus to the mechanotransduction of bone remodeling signals. Model comparisons indicate: (1) The Haversian fluid can enhance the whole osteonal fluid pressure and velocity fields.(2) In the hollow model, the key loading factor governing the poroelastic behavior of the osteon is strain rate, while in the model with Haversian fluid considered, the strain rate governs only the velocity. (3) The pressure amplitude is proportional to the loading frequency in the hollow model, while in the model with Haversian fluid considered, the loading frequency has little effect on the pressure amplitude.

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