Engineering Mechanics

Proceedings Vol. 13 (2007)

ENGINEERING MECHANICS 2007

Copyright © 2007 Institute of Thermomechanics, Academy of Sciences of the Czech Republic, v.v.i., Prague

 

Hlaváček M.
pages 77 - +8p., full text

Articular cartilage is often modeled as a biphasic mixture (a solid porous matrix swollen by a fluid that may move slowly through the matrix pores). The anisotropic matrix is often assumed to be linearly elastic and the fluid to be inviscid, both being intrinsically incompressible. The viscous dissipation of the model is due to the frictional drag of the fluid through the matrix pores. The creep and stress relaxations experiments yield the equilibrium compliance of the tissue. At equilibrium the fluid pressure tends to zero and all the load is carried only by the matrix. However, for suddenly applied or quickly changing loads, the mixture behaves as a single-phase incompressible material. The fluid is pressurized, carries most of the load and makes the mixture stiffer. For small strains in the matrix, the paper presents this instantaneous compliance once the equilibrium compliance is known.

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