Medical Engineering & Physics
Volume 28, Issue 9 , Pages 916-924 , November 2006

Tetrahedral versus hexahedral finite elements in numerical modelling of the proximal femur

Received 3 December 2004 ,Revised 9 September 2005 ,Accepted 2 December 2005.

References 

  1. Prendergast PJ. Finite element models in tissue mechanics and orthopaedic implant design. Clin Biomech. 1997;12(6):343–366
  2. van Rietbergen B, Odgaard A, Kabel J, Huiskes R. Direct mechanics assessment of elastic symmetries and properties of trabecular bone. J Biomech. 1996;29:1653–1657
  3. Fung YC. On the foundations of biomechanics. J Appl Mech. 1983;50:1003–1009
  4. Berelmans WAM, Poort HW, Slooff TJ. A new method to analyse the mechanical behaviour of skeletal parts. Acta Orthop Scand. 1972;43:301–317
  5. Taylor M, Tanner KE, Freeman MAR , Yettram AL. Stress and strain distribution within the intact femur: compression or bending?. Med Eng Phys. 1995;18:122–131
  6. Polgar K, Viceconti M, O’Connor JJ. A comparison between automatically generated linear and parabolic tetrahedral when used to mesh a human femur. Proc Inst Mech Eng H. 2001;215:85–94
  7. Viceconti M, Bellingeri L, Cristofolini L, Toni A. A comparative study on different methods of automatic mesh generation of human femurs. Med Eng Phys. 1998;20:1–10
  8. Merz B, Lengsfeld M, Müller MR, Kaminsky J, Rüegsegger P, Niederer P. Automated generation of 3D Fe-models of the human femur—comparison of methods and results. In:  Middleton J,  Jones ML,  Pande GN editor. Computer methods in biomechanics and biomedical engineering. Amsterdam: Gordon and Breach; 1996;p. 125–134
  9. Keyak JK, Skinner HB. Three-dimensional finite element modelling of bone: effects of element size. J Biomed Eng. 1992;14:483–489
  10. Vander Sloten J, Van Der Perre G. The influence of geometrical distorsions of three-dimensional finite elements, used to model proximal femoral bone. Proc Inst Mech Eng. 1993;209:31–36
  11. Stolk J, Verdonschot N, Huiskes R. Management of stress fields around singular points in a finite element analysis. In:  Middleton J,  Jones ML,  Shrive NG,  Pande GN editor. Computer methods in biomechanics and biomedical engineering. London: Gordon and Breach Science Publishers; 2001;p. 57–62
  12. Huiskes R, Chao EYS. A survey of finite element analysis in orthopaedic biomechanics: the first decade. J Biomech. 1983;16:385–409
  13. Verma A, Melosh RJ. Numerical tests for assessing finite element model convergence. Int J Numer Meth Eng. 1987;24:843–857
  14. Marks LW, Gardner TN. The use of strain energy as a convergence criterion in the finite element modelling of bone and the effect of model geometry on stress convergence. J Biomed Eng. 1993;15:474–476
  15. Stolk J, Verdonschot N, Huiskes R. Sensitivity of failure criteria of cemented total hip replacements to finite element mesh density. In: Proceedings of the 11th Conference of the European Society of Biomechanics. 1998;p. 165
  16. Muccini R, Baleani M, Viceconti M. Selection of the best element type in the finite element analysis of hip prostheses. J Med Eng Technol. 2000;24(4):145–148
  17. Zachariah SG, Sanders JE, Turkiyyah GM. Automated hexahedral mesh generation from biomedical image data: applications in limb prosthetics. IEEE Trans Rehabil Eng. 1996;4(2):91–102
  18. Viceconti M, Zannoni C, Testi D, Cappello A. A new method for the automatic mesh generation of bone segments from CT data. J Med Eng Technol. 1999;23(2):77–81
  19. Camacho DLA , Hopper RH, Lin GM, Myers BS. An improved method for finite element mesh generation of geometrically complex structures with application to the skullbase. J Biomech. 1997;30(19):1067–1070
  20. Lo SH, Lin GC. Improvement on the 10-node tetrahedral element for three-dimensional problems. Comput Meth Appl Mech Eng. 2000;189:961–974
  21. Lee CK, Lo SH. Automatic adaptive refinement finite element procedure for 3D stress analysis. Finite Elem Anal Design. 1997;25:135–166
  22. Lo SH. Optimization of tetrahedral meshes based on element shape measures. Comput Struct. 1997;63(5):951–961
  23. Biswas R, Strawn RC. Tetrahedral and hexahedral mesh adaptation for CFD problems. Appl Numer Math. 1998;26:135–151
  24. Zachariah SG, Sanders JE. Finite element estimates of interface stress in the trans-tibial prosthesis using gap elements are different from those using automated contact. J Biomech. 2000;33:895–899
  25. Parthasarathy VN, Graichen CM, Hathaway AF. A comparison of tetrahedron quality measures. Finite Elem Anal Design. 1994;15:255–261
  26. Cifuentes AO, Kalbag A. A performance study of tetrahedral and hexahedral elements in 3D finite element structural analysis. Finite Elem Anal Design. 1992;12:313–318
  27. www.cineca.it/hosted/LTM-IOR/back2net/ISB_mesh/isb_mesh.html
  28. Stolk J, Verdonshot N, Huiskes R. Stair climbing is more detrimental to the cement in hip replacement than walking. Clin Orthop Relat Res. 2002;1(405):294–305
  29. Bergmann G, Heller M, Duda GM, Preclinical testing of cemented hip replacement implants: pre-normative research for a European Standard. In: Bergmann, G, editor, Final report of Workpackage 5: development of the loading configuration, HIP98. Free University, Berlin; 2001.
  30. Bergmann G, Deuretzabcher G, Heller M, Graichen F, Rohlmann A, Strauss J, et al. Hip contact forces and gait patterns from routine activities. J Biomech. 2001;34:859–871
  31. Heller MO, Bergmann G, Deuretzbacher G, Durselen L, Pohl M, Claes L, et al. Musculo-skeletal loading conditions at the hip during walking and stair climbing. J Biomech. 2001;34:883–893

PII: S1350-4533(05)00267-5

doi: 10.1016/j.medengphy.2005.12.006

Medical Engineering & Physics
Volume 28, Issue 9 , Pages 916-924 , November 2006

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