Incorporating uncertainty in mechanical properties for finite element-based evaluation of bone mechanics

Journal of Biomechanics

Volumn 40, Issue 13, 2007, Pages 2831-2836

  Laz, Peter J ^a   Stowe, Joshua Q ^a   Baldwin, Mark A ^a   Petrella, Anthony J ^b   Rullkoetter, Paul J ^a  

^a UNIVERSITY OF DENVER   (United States)

^b JOHNSON AND JOHNSON   (United States)

Author keywords

Bone mechanics; CT scan; Fracture; Mechanical properties; Probabilistic

Indexed keywords

BONE; COMPUTERIZED TOMOGRAPHY; FINITE ELEMENT METHOD; FRACTURE MECHANICS; MECHANICAL PROPERTIES; STRESS-STRAIN CURVES;

BONE MECHANICS; FRACTURE RISKS; LOAD TRANSFER; PROBABILISTIC ANALYSIS;

BIOMECHANICS;

ARTICLE; BIOMECHANICS; BONE REMODELING; CLINICAL ASSESSMENT; FRACTURE; MONTE CARLO METHOD; PRIORITY JOURNAL; PROBABILITY; STATISTICAL MODEL; STRESS;

FEMUR; FINITE ELEMENT ANALYSIS; HUMANS; STRESS, MECHANICAL; UNCERTAINTY;

EID: 34548511366     PISSN: 00219290     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jbiomech.2007.03.013     Document Type: Article

References (32)

1. Bentzen S.M., Hvid I., and Jorgensen J. Mechanical strength of tibial trabecular bone evaluated by X-ray computed tomography. Journal of Biomechanics 20 (1987) 743-752
2. Bevill G., Eswaran S.K., Gupta A., Papadopoulos P., and Keaveny T.M. Influence of bone volume fraction and architecture on computed large-deformation failure mechanisms in human trabecular bone. Bone 39 (2006) 1218-1225
3. Carter D.R., and Hayes W.C. The compressive behavior of bone as a two-phase porous structure. Journal of Bone and Joint Surgery 59-A (1977) 954-962
4. Chang W.C.W., Christensen T.M., Pinilla T.P., and Keaveny T.M. Uniaxial yield strains for bovine trabecular bone are isotropic and asymmetric. Journal of Orthopaedic Research 17 (1999) 582-585
5. Duda G.N., Mandruzzato F., Heller M., Goldhahn J., Moser R., Hehli M., Claes L., and Haas N.P. Mechanical boundary conditions of fracture healing: borderline indications in the treatment of undreamed tibial nailing. Journal of Biomechanics 34 (2001) 639-650
6. Easley S.K., Pal S., Tomaszewski P.R., Petrella A.J., Rullkoetter P.J., and Laz P.J. Finite element-based probabilistic analysis tool for orthopaedic applications. Computer Methods and Programs in Biomedicine 85 (2007) 32-40
7. Gupta S., New A.M.R., and Taylor M. Bone remodeling inside a cemented resurfaced femoral head. Clinical Biomechanics 21 (2006) 594-602
8. Haider, H., Mupparapu, S., Barrera, O.A., Garvin, K.L., 2006. A 3D finite element analysis of the bone stress distribution of aligned and misaligned tibial components in unicondylar knee arthroplasty. Transactions of the ORS, 0607.
9. Haldar A., and Mahadevan S. Probability, Reliability and Statistical Methods in Engineering Design (2000), Wiley, New York, NY
10. Hernandez C.J., and Keaveny T.M. A biomechanical perspective on bone quality. Bone 39 (2006) 1173-1181
11. Hernandez C.J., Beaupre G.S., Keller T.S., and Carter D.R. The influence of bone volume fraction and ash fraction on bone strength and modulus. Bone 29 (2001) 74-78
12. Hvid I., Bentzen S.M., Linde F., and Mo L. X-ray quantitative computed tomography: the relations of physical properties of proximal tibial trabecular bone specimens. Journal of Biomechanics 22 (1989) 837-844
13. Keller T.S. Predicting the compressive mechanical-behavior of bone. Journal of Biomechanics 27 (1994) 1159-1168
14. Keyak J.H. Relationships between femoral fracture loads for two load configurations. Journal of Biomechanics 33 (2000) 499-502
15. Keyak J.H., and Falkinstein Y. Comparison of in situ and in vitro CT scan-based finite element model predictions of proximal femoral fracture load. Medical Engineering & Physics 25 (2003) 781-787
16. Keyak J.H., Rossi S.A., Jones K.A., Les C.M., and Skinner H.B. Prediction of fracture location in the proximal femur using finite element models. Medical Engineering & Physics 23 (2001) 657-664
17. Mann K.A., and Damron L.A. Predicting the failure response of cement-bone constructs using a non-linear fracture mechanics approach. Journal of Biomechanical Engineering 124 (2002) 462-470
18. Mann K.A., Mocarski R., Damron L.A., Allen M.J., and Ayers D.C. Mixed-mode failure response of the cement-bone interface. Journal of Orthopaedic Research 19 (2001) 1153-1161
19. Morgan E.F., and Keaveny T.M. Dependence of yield strain of human trabecular bone on anatomic site. Journal of Biomechanics 34 (2001) 569-577
20. Morgan E.F., Bayraktar H.H., and Keaveny T.M. Trabecular bone modulus-density relationships depend on anatomic site. Journal of Biomechanics 36 (2003) 897-904
21. Morgan E.F., Bayraktar H.H., Yeh O.C., Majumdar S., Burghardt A., and Keaveny T.M. Contribution of inter-site variations in architecture to trabecular bone apparent yield strains. Journal of Biomechanics 37 (2004) 1413-1420
22. Mupparapu, S., Barrera, O.A., Garvin, K.L., Haider, H., 2006. Comparative finite element study of five different published relations for mapping CT imaging data to bone material properties. Transactions of the ORS, 0548.
23. Peng L., Bai J., Zeng X., and Zhou Y. Comparison of isotropic and orthotropic material property assignments on femoral finite element models under two loading conditions. Medical Engineering & Physics 28 (2006) 227-233
24. Perillo-Marcone A., Alonso-Vazquez A., and Taylor M. Assessment of the effect of mesh density on the material property discretisation within QCT based FE models: a practical example using the implanted proximal tibia. Computer Methods in Biomechanics and Biomedical Engineering 6 (2003) 17-26
25. Rho J.Y., Hobatho M.C., and Ashman R.B. Relations of mechanical properties to density and CT numbers in human bone. Medical Engineering & Physics 17 (1995) 347-355
26. Snyder S.M., and Schneider E. Estimation of mechanical properties of cortical bone by computed tomography. Journal of Orthopaedic Research 9 (1991) 422-431
27. Taddei F., Pancanti A., and Viceconti M. An improved method for the automatic mapping of computed tomography numbers onto finite element models. Medical Engineering & Physics 26 (2004) 61-69
28. Taddei F., Martelli S., Reggiani B., Cristofolini L., and Viceconti M. Finite-element modeling of bones from CT data: sensitivity to geometry and material uncertainties. IEEE Transactions on Biomedical Engineering 53 (2006) 2194-2200
29. Taddei F., Cristofolini L., Martelli S., Gill H.S., and Viceconti M. Subject-specific finite element models of long bones: an in vitro evaluation of the overall accuracy. Journal of Biomechanics 39 (2006) 2457-2467
30. Taylor M. Finite element analysis of the resurfaced femoral head. Proceedings of the Institution of Mechanical Engineers, Part H (Journal of Engineering in Medicine) 220 (2006) 289-297
31. Wong A.S., New A.M.R., Isaacs G., and Taylor M. Effect of bone material properties on the initial stability of a cementless hip stem: a finite element study. Proceedings of the Institution of Mechanical Engineers, Part H (Journal of Engineering in Medicine) 219 (2005) 265-275
32. Wu Y.T., Millwater H.R., and Cruse T.A. Advanced probabilistic structural analysis method for implicit performance functions. AIAA Journal 28 (1990) 1663-1669