Axisymmetric squeezing of a Phan-Thien and Tanner lubricant film under imposed constant load in the presence of a poroelastic medium

作者：Yousfi Mahdia; Bou Said Benyebka^*; Tichy John

来源：Lubrication Science, 2015, 27(8): 505-522.

DOI：10.1002/ls.1297

• human knee joint
• synovial fluid
• fluid squeezing
• viscoelasticity
• PTT behaviour law
• modified Reynolds equation
• poroelasticity
• modified Darcy law

In this paper, a modified Reynolds equation in polar coordinates using the Phan-Thien and Tanner rheological model is combined with a modified Darcy law describing a poroelastic confining surface. The Phan-Thien and Tanner model is commonly used to describe the viscoelastic behaviour of synovial fluid, while the poroelastic model can portray articular cartilage. Together, they may provide a simulation basis for lubrication of the tribology of the knee contact under squeezing. The results obtained for the axisymmetric case are analysed and compared for certain non-Newtonian shear phenomena on the basis of works from the literature.

• 出版日期2015-12