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Mathematical osteon model for examining poroelastic behaviors 被引量:1

Mathematical osteon model for examining poroelastic behaviors
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摘要 An extended and reasonable stress boundary condition at an osteon exte- rior wall is presented to solve the model proposed by Remond and Naili. The obtained pressure and fluid velocity solutions are used to investigate the osteonal poroelastic behaviors. The following results are obtained. (i) Both the fluid pressure and the velocity amplitudes are proportional to the strain amplitude and the loading frequency. (ii) In the physiological loading state, the key role governing the poroelastic behaviors of the osteon is the strain rate. (iii) At the osteon scale, the pressure is strongly affected by the permeability variations, whereas the fluid velocity is not. An extended and reasonable stress boundary condition at an osteon exte- rior wall is presented to solve the model proposed by Remond and Naili. The obtained pressure and fluid velocity solutions are used to investigate the osteonal poroelastic behaviors. The following results are obtained. (i) Both the fluid pressure and the velocity amplitudes are proportional to the strain amplitude and the loading frequency. (ii) In the physiological loading state, the key role governing the poroelastic behaviors of the osteon is the strain rate. (iii) At the osteon scale, the pressure is strongly affected by the permeability variations, whereas the fluid velocity is not.
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2013年第4期405-416,共12页 应用数学和力学(英文版)
基金 Project supported by the National Natural Science Foundation of China (No. 11032008)
关键词 OSTEON poroelasticity transverse isotropy bone fluid flow PRESSURE osteon, poroelasticity, transverse isotropy, bone fluid flow, pressure
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