Mathematical osteon model for examining poroelastic behaviors

• Published in: Applied mathematics and mechanics Vol. 34; no. 4; pp. 405 - 416
• Main Author: 武晓刚 陈维毅 王旦霞
• Format: Journal Article
• Language: English
• Published: Heidelberg Shanghai University 01.04.2013; College of Mechanics, Taiyuan University of Technology,Taiyuan 030024, P.R.China%College of Mathematics, Taiyuan University of Technology,Taiyuan 030024, P.R.China
• Subjects: Amplitudes; Applications of Mathematics; Biocompatibility; Biomedical materials; Classical Mechanics; Computational fluid dynamics; Fluid flow; Fluid- and Aerodynamics; Fluids; Mathematical Modeling and Industrial Mathematics; Mathematical models; Mathematics; Mathematics and Statistics; Partial Differential Equations; Walls; 单位; 孔隙; 应力边界条件; 弹性行为; 数学模型; 检查; 流体压力; 流体速度; osteon; bone fluid flow; 92C10; transverse isotropy; R318.01; poroelasticity; pressure; 74L15
• ISSN: 0253-4827; 1573-2754
• DOI: 10.1007/s10483-013-1680-x

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.