Biomaterials and Biomechanics in Bioengineering

  • 제3권2호
  • /
  • Pages.71-84
  • /
  • 2016
  • /
  • 2465-9835(pISSN)
  • /
  • 2465-9959(eISSN)
테크노프레스 (Techno-Press)
권호 표지
DOI QR코드

DOI QR Code

Sensitivity analysis for finite element modeling of humeral bone and cartilage

  • Bola, Ana M. (Biomechanics Research Group, TEMA, University of Aveiro) ;
  • Ramos, A. (Biomechanics Research Group, TEMA, University of Aveiro) ;
  • Simoes, J.A (High School of Arts and Design, Avenida Calouste Gulbenkian)
  • 투고 : 2016.01.10
  • 심사 : 2016.03.29
  • 발행 : 2016.06.25
⟨ 이전 논문 다음 논문 ⟩

초록

The finite element method is wide used in simulation in the biomechanical structures, but a lack of studies concerning finite element mesh quality in biomechanics is a reality. The present study intends to analyze the importance of the mesh quality in the finite element model results from humeral structure. A sensitivity analysis of finite element models (FEM) is presented for the humeral bone and cartilage structures. The geometry of bone and cartilage was acquired from CT scan and geometry reconstructed. The study includes 54 models from same bone geometry, with different mesh densities, constructed with tetrahedral linear elements. A finite element simulation representing the glenohumeral-joint reaction force applied on the humerus during $90^{\circ}$ abduction, with external load as the critical condition. Results from the finite element models suggest a mesh with 1.5 mm, 0.8 mm and 0.6 mm as suitable mesh sizes for cortical bone, trabecular bone and humeral cartilage, respectively. Relatively to the higher minimum principal strains are located at the proximal humerus diaphysis, and its highest value is found at the trabecular bone neck. The present study indicates the minimum mesh size in the finite element analyses in humeral structure. The cortical and trabecular bone, as well as cartilage, may not be correctly represented by meshes of the same size. The strain results presented the critical regions during the $90^{\circ}$ abduction.

키워드

참고문헌

  1. Australian Orthopaedic Association (2013), National joint replacement registry, Analysis of state & territory health data all arthroplasty. Supplementary Report 2013.
  2. Bergmann, G., Graichen, F., Bender, A., Rohlmann, A., Halder, A., Beier, A. and Westerhoff, P. (2011), "In vivo gleno-humeral joint loads during forward flexion and abduction", J. Biomech., 44(8), 1543-1552. https://doi.org/10.1016/j.jbiomech.2011.02.142
  3. Buchler, P., Ramaniraka, N.A., Rakotomanana, L.R., Iannotti, J.P. and Farron, A. (2002), "A finite element model of the shoulder: application to the comparison of normal and osteoarthritic joints", Clinical Biomech., 17(9), 630-639. https://doi.org/10.1016/S0268-0033(02)00106-7
  4. Burkhart, T.A., Andrews, D.M. and Dunning, C.E. (2013), "Finite element modeling mesh quality, energy balance and validation methods: A review with recommendations associated with the modeling of bone tissue", J. Biomech., 46(9), 1477-1488. https://doi.org/10.1016/j.jbiomech.2013.03.022
  5. Day, J.S., Lau, E., Ong, K.L., Williams, G.R., Ramsey, M.L. and Kurtz, S.M. (2010), "Prevalence and projections of total shoulder and elbow arthroplasty in the United States to 2015", J. Shoulder Elbow Surgery, 19(8), 1115-1120. https://doi.org/10.1016/j.jse.2010.02.009
  6. Favre, P., Senteler, M., Hipp, J., Scherrer, S., Gerber, C. and Snedeker, J.G. (2012), "An integrated model of active glenohumeral stability", J. Biomech., 45(13), 2248-2255. https://doi.org/10.1016/j.jbiomech.2012.06.010
  7. Fox, J.A., Cole, B.J., Romeo, A.A., Meininger, A.K., Williams, J.M., Glenn, R.E. and Dorow, C.B. (2008), "Articular cartilage thickness of the humeral head: an anatomic study", Orthopedics, 31(3), 216.
  8. Gatti, C.J., Maratt, J.D., Palmer, M.L., Hughes, R.E. and Carpenter, J.E. (2010), "Development and validation of a finite element model of the superior glenoid labrum", Ann. Biomed. Eng., 38(12), 3766-3776. https://doi.org/10.1007/s10439-010-0105-4
  9. Gupta, S., Van der Helm, F.C.T. and Van Keulen, F. (2004), "Stress analysis of cemented glenoid prostheses in total shoulder arthroplasty", J. Biomech., 37(11), 1777-1786. https://doi.org/10.1016/j.jbiomech.2004.02.001
  10. Hopkins, A.R., Hansen, U.N., Amis, A.A., Taylor, M., Gronau, N. and Anglin, C. (2006), "Finite element modelling of glenohumeral kinematics following total shoulder arthroplasty", J. Biomech., 39(13), 2476-2483. https://doi.org/10.1016/j.jbiomech.2005.07.031
  11. Hwang, E., Carpenter, J.E., Hughes, R.E. and Palmer, M.L. (2014), "Shoulder labral pathomechanics with rotator cuff tears", J. Biomech., 47(7), 1733-1738. https://doi.org/10.1016/j.jbiomech.2014.01.036
  12. Illyes, A . and Kiss, R.M. (2005), "Shoulder muscle activity during pushing, pulling, elevation and overhead throw", J. Electromy. Kinesiol., 15(3), 282-289. https://doi.org/10.1016/j.jelekin.2004.10.005
  13. Ludewig, P.M. and Cook, T.M. (2000), "Alterations in shoulder kinematics and associated muscle activity in people with symptoms of shoulder impingement", Phys. Therapy, 80(3), 276-291.
  14. Maldonado, Z.M., Seebeck, J., Heller, M.O., Brandt, D., Hepp, P., Lill, H. and Duda, G.N. (2003), "Straining of the intact and fractured proximal humerus under physiological-like loading", J. Biomech., 36(12), 1865-1873. https://doi.org/10.1016/S0021-9290(03)00212-4
  15. Mather, J., MacDermid, J.C., Faber, K.J. and Athwal, G.S. (2013), "Proximal humerus cortical bone thickness correlates with bone mineral density and can clinically rule out osteoporosis", J. Shoulder Elbow Surgery, 22(6), 732-738. https://doi.org/10.1016/j.jse.2012.08.018
  16. Matsen, F.A., (1993), The Shoulder: A Balance of Mobility and Stability: workshop, Vail, Colorado, September.
  17. Metan, S.S., Krishna, P. and Mohankumar, G.C. (2014), "FEM model an effective tool to evaluate von mises stresses in shoulder joint and muscles for adduction and abduction", Procedia Mater. Sci., 5, 2090-2098. https://doi.org/10.1016/j.mspro.2014.07.544
  18. New Zealand Joint Registry (2013), The New Zealand joint registry - fifteen year report - January 1999 to December 2013.
  19. Quental, C., Folgado, J., Fernandes, P.R. and Monteiro, J. (2012), "Bone remodelling analysis of the humerus after a shoulder arthroplasty", Medical Eng. Phys., 34(8), 1132-1138. https://doi.org/10.1016/j.medengphy.2011.12.001
  20. Ramos, A. and Simoes, J.A. (2006), "Tetrahedral versus hexahedral finite elements in numerical modelling of the proximal femur", Medical Eng. Phys., 28(9), 916-924. https://doi.org/10.1016/j.medengphy.2005.12.006
  21. Relvas, C., Ramos, A., Completo, A. and Simoes, J.A. (2011), "Accuracy control of complex surfaces in reverse engineering", Int. J. Precision Eng. Manufact., 12(6), 1035-1042. https://doi.org/10.1007/s12541-011-0138-0
  22. Sahara, W., Sugamoto, K., Murai, M., Tanaka, H. and Yoshikawa, H. (2007), "The three-dimensional motions of glenohumeral joint under semi-loaded condition during arm abduction using vertically open MRI", Clinical Biomech., 22(3), 304-312. https://doi.org/10.1016/j.clinbiomech.2006.04.012
  23. Tadepalli, S.C., Erdemir, A. and Cavanagh, P.R. (2011), "Comparison of hexahedral and tetrahedral elements in finite element analysis of the foot and footwear", J. Biomech., 44(12), 2337-2343. https://doi.org/10.1016/j.jbiomech.2011.05.006
  24. Taylor, M. and Prendergast, P.J. (2015), "Four decades of finite element analysis of orthopaedic devices: Where are we now and what are the opportunities?", J. Biomech., 48(5), 767-778. https://doi.org/10.1016/j.jbiomech.2014.12.019
  25. Tingart, M.J., Lehtinen, J., Zurakowski, D., Warner, J.J. and Apreleva, M. (2006), "Proximal humeral fractures: regional differences in bone mineral density of the humeral head affect the fixation strength of cancellous screws", J. Shoulder Elbow Surgery, 15(5), 620-624. https://doi.org/10.1016/j.jse.2005.09.007
  26. Tsukerman, I. and Plaks, A. (1998), "Comparison of accuracy criteria for approximation of conservative fields on tetrahedra", Proceedings of the IEEE transactions on magnetics, 34(5), 3252-3255. https://doi.org/10.1109/20.717763
  27. Varghese, B., Short, D. and Hangartner, T. (2012), "Development of quantitative computed-tomographybased strength indicators for the identification of low bone-strength individuals in a clinical environment", Bone, 50(1), 357-363. https://doi.org/10.1016/j.bone.2011.10.014
  28. Varghese, B., Short, D., Penmetsa, R., Goswami, T. and Hangartner, T. (2011), "Computed-tomographybased finite-element models of long bones can accurately capture strain response to bending and torsion", J. Biomech., 44(7), 1374-1379. https://doi.org/10.1016/j.jbiomech.2010.12.028
  29. Westerhoff, P., Graichen, F., Bender, A., Halder, A., Beier, A., Rohlmann, A. and Bergmann, G. (2012), "In vivo measurement of shoulder joint loads during walking with crutches", Clinical Biomech., 27(7), 711-718. https://doi.org/10.1016/j.clinbiomech.2012.03.004
  30. Yeh, L., Kwak, S., Kim, Y.S., Chou, D.S., Muhle, C., Skaf, A., ... and Resnick, D. (1998), "Evaluation of articular cartilage thickness of the humeral head and the glenoid fossa by MR arthrography: anatomic correlation in cadavers", Skeletal radiol., 27(9), 500-504. https://doi.org/10.1007/s002560050427
  31. Yongpravat, C., Kim, H.M., Gardner, T.R., Bigliani, L.U., Levine, W.N. and Ahmad, C.S. (2013), "Glenoid implant orientation and cement failure in total shoulder arthroplasty: a finite element analysis", J. Shoulder Elbow Surgery, 22(7), 940-947. https://doi.org/10.1016/j.jse.2012.09.007