Articles

Mathematical osteon model for examining poroelastic behaviors

Expand
  • 1. College of Mechanics, Taiyuan University of Technology, Taiyuan 030024, P. R. China;
    2. College of Mathematics, Taiyuan University of Technology, Taiyuan 030024, P. R. China

Online published: 2013-04-03

Abstract

An extended and reasonable stress boundary condition at an osteon exterior wall is presented to solve the model proposed by R´emond 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.

Cite this article

Xiao-gang WU;Wei-yi CHEN;Dan-xia WANG . Mathematical osteon model for examining poroelastic behaviors[J]. Applied Mathematics and Mechanics, 2013 , 34(4) : 405 -416 . DOI: 10.1007/s10483-013-1680-x

Outlines

/

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals