Journal of the Korean Society for Industrial and Applied Mathematics

  • 제15권1호
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  • Pages.57-65
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  • 2011
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  • 1226-9433(pISSN)
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  • 1229-0645(eISSN)
한국산업응용수학회 (Korean Society for Industrial and Applied Mathematics)
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THE EFFECTS OF MESH STYLE ON THE FINITE ELEMENT ANALYSIS FOR ARTIFICIAL HIP JOINTS

  • 투고 : 2011.03.20
  • 심사 : 2011.03.21
  • 발행 : 2011.03.25
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초록

In this paper, a good quality mesh generation for the finite element method is investigated for artificial hip joint simulations. In general, bad meshes with a large aspect ratio or mixed elements can give rise to excessively long computational running times and extremely high errors. Typically, hexahedral elements outperform tetrahedral elements during three-dimensional contact analysis using the finite element method. Therefore, it is essential to mesh biologic structures with hexahedral elements. Four meshing schemes for the finite element analysis of an artificial hip joint are presented and compared: (1) tetrahedral elements, (2) wedge and hexahedral elements, (3) open cubic box hexahedral elements, and (4) proposed hexahedral elements. The proposed meshing scheme is to partition a part before seeding so that we have a high quality three-dimensional mesh which consists of only hexahedral elements. The von Mises stress distributions were obtained and analyzed. We also performed mesh refinement convergence tests for all four cases.

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참고문헌

  1. M.R. Abdul-Kadir, U. Hansen, R. Klabunde, D. Lucas, and A. Amis, Finite element modelling of primary hip stem stability: The effect of interference fit, Journal of Biomechanics, 41 (3) (2008), 587-594. https://doi.org/10.1016/j.jbiomech.2007.10.009
  2. S.E. Benzley, E. Perry, K. Merkley, B. Clark, and G. Sjaardama, A Comparison of all hexagonal and all tetrahedral finite element meshes for elastic and elasto-plastic analysis, Proceedings of 4th International Meshing Roundtable, Albuquerque, October (1995), 179-191
  3. S.L. Bevill, G.R. Bevill, J.R. Penmetsa, A.J. Petrella, and P.J. Rullkoetter, Finite element simulation of early creep and wear in total hip arthroplasty, Journal of Biomechanics, 38 (12) (2005), 2365-2374. https://doi.org/10.1016/j.jbiomech.2004.10.022
  4. R. Biswas and R.C. Strawn, Tetrahedral and hexahedral mesh adaptation for CFD problems, Applied Numerical Mathematics, 26 (1-2) (1998), 135-151. https://doi.org/10.1016/S0168-9274(97)00092-5
  5. A.O. Cifuentes and A. Kalbag, A performance study of tetrahedral and hexahedral elements in 3-D finite element structural analysis, Finite Elements in Analysis and Design, 12 (3-4) (1992), 313-318. https://doi.org/10.1016/0168-874X(92)90040-J
  6. K. Hibbitt, ABAQUS/Standard User's Manual (version 6.8), Hibbitt, Karlsson & Sorensen, Inc., USA, 1997.
  7. V. Kralj-Iglic, M. Daniel, and A. Macek-Lebar, Computer determination of contact stress distribution and size of weight bearing area in the human hip joint, Computer Methods in Biomechanics and Biomedical Engineering, 5 (2) (2002), 185-192. https://doi.org/10.1080/10255840290010300
  8. F. Liu, I. Lesliea, S. Williams, J. Fisher, and Z. Jin, Development of computational wear simulation of metalon- metal hip resurfacing replacements, Journal of Biomechanics, 41 (3) (2008), 686-694. https://doi.org/10.1016/j.jbiomech.2007.09.020
  9. K. Rami, K. Arto, K. Yrjo, S. Seppo, and L. Reijo, The effect of geometry and abduction angle on the stresses in cemented UHMWPE acetabular cups-finite element simulations and experimental tests, BioMedical Engineering OnLine, 4 (32) (2005) 1-14. https://doi.org/10.1186/1475-925X-4-1
  10. S.H. Teoh, W.H. Chan, and R. Thampuran, An elasto-plastic finite element model for polyethylene wear in total hip arthroplasty, Journal of Biomechanics, 35 (3) (2002), 323-330. https://doi.org/10.1016/S0021-9290(01)00215-9
  11. M. Tur, J. Fuenmayor, A. Mugadu, and D.A. Hills, On the analysis of singular stress fields Part 1: finite element formulation and application to notches, The Journal of Strain Analysis for Engineering Design, 37 (5) (2002), 437-444. https://doi.org/10.1243/030932402760203892
  12. P. Wriggers and T.A. Laursen, Computational Contact and Impact Mechanics, Springer-Verlag, Berlin and Heidelberg, 2002.