Modelling the mechanical behaviour of living bony interfaces

The main purpose of this work is to develop a computational model for living interfaces with bone implants. The model is able to qualitatively capture the evolutive behaviour of bony interfaces: deterioration and bone ingrowth. We assume that the evolution of the variables that define the mechanical state of the interface can be formulated following the principles of continuum damage mechanics (CDM) with the additional feature that the variation of the internal variables may be negative to allow the interface to osseointegrate partially (repair) recovering its initial stiffness. Within the present study, the femoral component of total hip non-cemented arthroplasties has been analyzed by means of 3D finite element analysis (FEA). The dependence of the bone ingrowth pattern on the stem stiffness has been studied, concluding that stiffer stems improve primary fixation. Moreover, a sensitivity analysis has been performed studying the influence of patient activity, stem surface finishing and other model parameters. Overall, the model is able to reproduce the progressive deterioration and osseointegration of living bony interfaces, obtaining results that qualitatively agree with clinical observations.

[1]  T. Bauer,et al.  The pathology of total joint arthroplasty , 1999, Skeletal Radiology.

[2]  K. Ou,et al.  Design of a stability-detecting device for dental implants , 2005, Proceedings of the Institution of Mechanical Engineers. Part H, Journal of engineering in medicine.

[3]  N. Rushton Implant wear: the future of total joint replacement.: Edited by Timothy Wright and Stuart B. Goodman. Pp 150. Rosemont, Illinois: American Academy of Orthopaedic Surgeons 1996. ISBN: 0-89203-207-3. US$79.95. , 1999 .

[4]  D P Pioletti,et al.  Biphasic constitutive laws for biological interface evolution , 2003, Biomechanics and modeling in mechanobiology.

[5]  R. Huiskes,et al.  Hip-joint and abductor-muscle forces adequately represent in vivo loading of a cemented total hip reconstruction. , 2001, Journal of biomechanics.

[6]  W. T. Koiter Stress-strain relations, uniqueness and variational theorems for elastic-plastic materials with a singular yield surface , 1953 .

[7]  C. Bünger,et al.  Tissue ingrowth into titanium and hydroxyapatite‐coated implants during stable and unstable mechanical conditions , 1992, Journal of orthopaedic research : official publication of the Orthopaedic Research Society.

[8]  W. Harris,et al.  In Vivo Skeletal Responses to Porous-Surfaced Implants Subjected to Small Induced Motions* , 1997, The Journal of bone and joint surgery. American volume.

[9]  E. W. C. Wilkins,et al.  Cumulative damage in fatigue , 1956 .

[10]  C. Bünger,et al.  Hydroxyapatite coating converts fibrous tissue to bone around loaded implants. , 1993, The Journal of bone and joint surgery. British volume.

[11]  Y Youm,et al.  Three dimensional shape reconstruction and finite element analysis of femur before and after the cementless type of total hip replacement. , 1993, Journal of biomedical engineering.

[12]  M J Allen,et al.  Mixed‐mode failure response of the cement–bone interface , 2001, Journal of orthopaedic research : official publication of the Orthopaedic Research Society.

[13]  K. Mann,et al.  Predicting the failure response of cement-bone constructs using a non-linear fracture mechanics approach. , 2002, Journal of biomechanical engineering.

[14]  J. Lemaître A CONTINUOUS DAMAGE MECHANICS MODEL FOR DUCTILE FRACTURE , 1985 .

[15]  J L Lewis,et al.  A model of tension and compression cracks with cohesive zone at a bone-cement interface. , 1985, Journal of biomechanical engineering.

[16]  C. Engh,et al.  Producing and avoiding stress shielding. Laboratory and clinical observations of noncemented total hip arthroplasty. , 1992, Clinical orthopaedics and related research.

[17]  J. M. Garcı́a,et al.  Anisotropic bone remodelling model based on a continuum damage-repair theory. , 2002, Journal of biomechanics.

[18]  K. Mann,et al.  Creep dominates tensile fatigue damage of the cement–bone interface , 2004, Journal of orthopaedic research : official publication of the Orthopaedic Research Society.

[19]  Y.H. Kim Long-term results of the cementless porous-coated anatomic total hip prosthesis. , 2005, The Journal of bone and joint surgery. British volume.

[20]  T. Hothorn,et al.  Bone-implant interface shear modulus and ultimate stress in a transcortical rabbit model of open-pore Ti6Al4V implants. , 2006, Journal of biomechanics.

[21]  M J Allen,et al.  Pre‐yield and post‐yield shear behavior of the cement‐bone interface , 1998, Journal of orthopaedic research : official publication of the Orthopaedic Research Society.

[22]  T P Harrigan,et al.  A finite element study of the initiation of failure of fixation in cemented femoral total hip components , 1992, Journal of orthopaedic research : official publication of the Orthopaedic Research Society.

[23]  F W Werner,et al.  Modeling the tensile behavior of the cement-bone interface using nonlinear fracture mechanics. , 1997, Journal of biomechanical engineering.

[24]  W E Roberts,et al.  Bone tissue interface. , 1988, Journal of dental education.

[25]  C. Bünger,et al.  Hydroxyapatite coating modifies implant membrane formation. Controlled micromotion studied in dogs. , 1992, Acta orthopaedica Scandinavica.

[26]  G. Bergmann,et al.  Musculo-skeletal loading conditions at the hip during walking and stair climbing. , 2001, Journal of biomechanics.

[27]  P J Prendergast,et al.  Bone ingrowth simulation for a concept glenoid component design. , 2005, Journal of biomechanics.

[28]  D. Berry Cemented femoral stems: what matters most. , 2004, The Journal of arthroplasty.

[29]  L Ryd,et al.  Wear particle diffusion and tissue differentiation in TKA implant fibrous interfaces. , 2000, Journal of biomechanics.

[30]  K. Mann,et al.  A fatigue damage model for the cement-bone interface. , 2004, Journal of biomechanics.

[31]  P. Jalovaara,et al.  Total hip arthroplasty using isoelastic femoral stems. A seven- to nine-year follow-up in 108 patients. , 1994, The Journal of bone and joint surgery. British volume.

[32]  Michael Tanzer,et al.  Acid-etched microtexture for enhancement of bone growth into porous-coated implants. , 2003, The Journal of bone and joint surgery. British volume.

[33]  Manuel Doblaré,et al.  Analysis of the debonding of the stem–cement interface in intramedullary fixation using a non-linear fracture mechanics approach , 2005 .

[34]  H Weinans,et al.  Histological and biomechanical analysis of bone and interface reactions around hydroxyapatite-coated intramedullary implants of different stiffness: a pilot study on the goat. , 1997, Biomaterials.

[35]  M. Crisfield,et al.  Finite element interface models for the delamination analysis of laminated composites: mechanical and computational issues , 2001 .

[36]  C. Howie,et al.  Localised endosteal bone lysis in relation to the femoral components of cemented total hip arthroplasties. , 1990, The Journal of bone and joint surgery. British volume.

[37]  L. Dorr,et al.  Effect of stem stiffness and bone stiffness on bone remodeling in cemented total hip replacement. , 1999, The Journal of arthroplasty.

[38]  C T Rubin,et al.  Promotion of bony ingrowth by frequency-specific, low-amplitude mechanical strain. , 1994, Clinical orthopaedics and related research.

[39]  G. Bergmann,et al.  Interfacial conditions between a press-fit acetabular cup and bone during daily activities: implications for achieving bone in-growth. , 2000, Journal of biomechanics.

[40]  W J Maloney,et al.  The initiation of failure in cemented femoral components of hip arthroplasties. , 1991, The Journal of bone and joint surgery. British volume.

[41]  M Honl,et al.  Duration and frequency of every day activities in total hip patients. , 2001, Journal of biomechanics.

[42]  José Manuel García-Aznar,et al.  Modelling the mixed-mode failure of cement¿bone interfaces , 2006 .

[43]  Michael Tanzer,et al.  The osseous response to corundum blasted implant surfaces in a canine hip model. , 1999, Clinical orthopaedics and related research.

[44]  M Doblaré,et al.  Application of an anisotropic bone-remodelling model based on a damage-repair theory to the analysis of the proximal femur before and after total hip replacement. , 2001, Journal of biomechanics.

[45]  P R Fernandes,et al.  A contact model with ingrowth control for bone remodelling around cementless stems. , 2002, Journal of biomechanics.