Engineering Transactions, 47, 2, pp. 99–115, 1999

Nonlinear Finite Element Analysis of Bone-Cement Interface Condition in Cemented Total Hip Replacement

P. Colombi
Milan University of Technology

L. Sgambi
Milan University of Technology

Loosening of cemented femoral hip component is one of the major failure mode in cemented total hip arthroplasty. The stern-cement and bone-cement interface conditions strongly influence the load transfer mechanism in the implant system and then the stress distribution in the bone, the stem and cement mantle. Nonlinear Coulomb friction model was often used in the literature to study the stem-cement interface. On the other hand, the bone-cement interface was usually considered to be bonded, and a tissue layer between the bone and the cement was introduced to model the long-term behaviour of a total hip arthroplasty. More recently, experimental investigations were carried out to study the general mechanical behaviour of the bone-cement interface under tensile or shear loading. Under tensile loading, the results showed that the post-yield tensile behaviour contributed substantially to the energy required to produce the failure of the bone-cement interface. Moreover the post-yield behaviour showed a positive correlation with the amount of interdigitation or bone density. The goal of this paper is to introduce a microstructural model based on a continuum damage mechanics for studying the bone-cement interface conditions. The present study is limited to the tensile behaviour since more detailed experimental data are available in this particular case. The numerical results show a good agreement with the experimental one and represent a first step toward the study of the bone-cement interface under combined normal and shear loading.
Full Text: PDF


G. BERGMANN, F. GRAICHEN and A. ROHLMANN, Hip joint loading during walking and running measured in two patients, J. of Biomechanics, 26, 969–990, 1993.

P. COLOMBI, R. CONTRO and M. PlNI, Modelling and analysis of the mechanical properties of trabecular bone, ASME Winter Annual Meeting, BED, 36, 131–132, 1997.

M.J. FUNK and A.S. LITSKY, Effect of cement modulus on the shear properties of the bone- cement interface, Biomaterials, 19, 1561–1567, 1998.

M. JASTY, W.J. MALONEY, C.R. BRAGDON, T. HAIRE and W.H. HARRIS, Histomorphological studies of the long-term skeletal responses to well-fixed cemented femoral components, J. of Bone Joint Surg., T2A, 1220–1229, 1990.

K.A. MANN, D.L. BARTEL, T.M. WRIGHT and A.H. BURSTEIN, Coulomb frictional interfaces in modelling cemented total hip replacement: a more realistic model, J. of Biomechanics, 28, 9, 1067–1078, 1995.

K.A. MANN, B.C. AYERS, F.W. WERNER, R.J. NICOLETTA and M.D. PORTING, Tensile strength of the cement-bone interface depends on the amount of bone interdigitated with the PMMA cement, J. of Biomechanics, 30, 4, 339–346, 1997a.

K.A. MANN, F.W. WERNER, B.C. AYERS, Modelling the tensile behaviour of the cement-bone interface using nonlinear fracture mechanics, J. of Biomechanical Eng., 119, 175–178, 1997b.

W. MACDONALD, E. SWARTS and R. BEAVER, Penetration and shear strength of cement-bone interface in vivo, Clin. Orthop. Rel. Res., 286, 283–288, 1993.

J.T. ODEN and E.B. PIRES, Nonlocal and nonlinear friction laws and variational principles for contact problem in elasticity, J. of Applied Mechanics, 50, 67–76, 1983.

J.C. SIMO and J.W. Ju, Strain and stress-based continuum damage models – I–II, Int. J. Solids and Structures, 23(7), 821–869, 1987.

C.H. TURNER, Yield behaviour of bovine cancellous bone, J. of Biomechanical Engineering, 11, 256–260, 1989.

H. WEINANS, R. HUISKES and H.J. GROOTENBORG, Trends on mechanical consequences and modelling of a fibrous membrane around femoral hip prosthesis, J. of Biomechanics, 23, 10, 991–1000, 1990.

DOI: 10.24423/engtrans.619.1999

Copyright © 2014 by Institute of Fundamental Technological Research
Polish Academy of Sciences, Warsaw, Poland