Pj. Rubin et al., FRICTIONAL INTERFACE MICROMOTIONS AND ANISOTROPIC STRESS-DISTRIBUTIONIN A FEMORAL TOTAL HIP COMPONENT, Journal of biomechanics, 26(6), 1993, pp. 725-739
A numerical model of a femoral total hip component based on the finite
element method is developed to evaluate the relative micromotions at
the bone-implant interface and the stress distribution in the femoral
bone. The interface is modelled as unilateral contact involving Coulom
b's dry friction between the bone and the implant. In addition, the mo
del includes inhomogeneity, anisotropy as well as plasticity of both c
ortical and spongious bones. An automatic data processor coupled to a
three-dimensional mesh generator is designed to extract cortical bone
geometry and inhomogeneous distribution of trabecular bone density fro
m data obtained with quantitative computed tomography (QCT). A prelimi
nary application is conducted to evaluate the mechanical behaviour of
an existing bone-prosthesis structure for two typical loadings: a load
simulating the single leg stance and a load simulating the stair clim
bing stance. The obtained results are subdivided in two parts. Firstly
, the characterization of stress transfer and micromotions at the bone
-stem interface. The peak value of the shear micromotions reaches 600
mum in the proximal medial region with a friction coefficient equal to
0.6. An analysis of the influence of the friction coefficient reveals
that the shear and distractive micromotions as well as the shear and
normal stresses depend strongly on this coefficient. Secondly, the rep
resentation of stresses in the femoral bone. Determination of compleme
ntary invariants such as the hydrostatic pressure, the deviatoric stre
ss and anisotropic stresses brings additional insights in the evaluati
on of the stress field in the femoral bone.