Abstract
In this chapter, essentials of finite element analysis on musculoskeletal biomechanics are studied. For this reason, some fundamental types of finite elements, methodology, and difficulties of finite element analysis are considered. Also, some information on well-known general purpose finite element codes preferred in biomechanics and biomaterials world is given. Before discussing orthopedic researches for clinical relevance, an example of two-dimensional finite element analysis is examined.
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References
Huiskes R (2000) If bone is the answer, then what is the question? J Anat 197:145–156
Brown TD (2004) Finite element modeling in musculoskeletal biomechanics. J Appl Biomech 20:336–366
van der Meulen MCH, Huiskes R (2002) Why mechanobiology?: a survey article. J Biomech 35(4):401–414. doi:10.1016/S0021-9290(01)00184-1
Doblare M, Garcia JM, Gomez MJ (2004) Modelling bone tissue fracture and healing: a review. Eng Fract Mech 71:1809–1840. doi:10.1016/j.engfracmech.2003.08.003
Rapoff AJ (2006) Orthotropic index for bone. J Mater Sci-Mater Med 17:803–805. doi:10.1007/s10856-006-9838-x
Harris MD, Anderson AE, Henak CR et al (2012) Finite element prediction of cartilage contact stresses in normal human hips. J Orthop Res 30:1133–1139. doi:10.1002/jor.22040
Freutel M, Schmidt H, Dürselen L et al (2014) Finite element modeling of soft tissues: material models, tissue interaction and challenges. Clin Biomech 29:363–372. doi:10.1016/j.clinbiomech.2014.01.006
Kythe PK, Puri P (2002) Computational methods for linear integral equations. Birkhauser, Boston
Thompson JF, Warsi ZUA, Mastin CW (1985) Numerical grid generation: foundations and applications. North-Holland Publication, Amsterdam
Stancu DD, Stroud AH (1963) Quadrature formulas with simple Gaussian nodes and multiple fixed nodes. Math Comput 17(84):384–394
Zienkiewicz OC, Taylor RL (2000) The finite element method, vol 1, 5th edn. Butterworth-Heinemann, Oxford
http://imechanica.org/files/l2-elements.pdf. Accessed 02 Dec 2014
http://www.ansys.stuba.sk/html/elem_55/EBooktoc.htm. Accessed 02 Dec 2014
http://www.aero.polimi.it/~lanz/bacheca/downloads/cost/aa10_11/MD_Nastran_Elements_1.pdf. Accessed 02 Dec 2014
http://www.mate.tue.nl/~piet/inf/mrc/pdf/volb.pdf. Accessed 02 Dec 2014
Wu JZ, Herzog W, Epstein M (1998) Evaluation of the finite element software ABAQUS for biomechanical modelling of biphasic tissue. J Biomech 31:165–169
Giner E, Sukumar N, Tarancon JE et al (2009) An abaqus implementation of the extended finite element method. Eng Fract Mech 76:347–368. doi:10.1016/j.engfracmech.2008.10.015
Sarkalkan N, Waarsing JH, Bos PK et al (2014) Statistical shape and appearance models for fast and automated estimation of proximal femur fracture load using 2D finite element models. J Biomech 47:3107–3114. doi:10.1016/j.jbiomech.2014.06.027
D’Amore A, Amoroso N, Gottardi R et al (2014) From single fiber to macro-level mechanics: a structural finite-element model for elastomeric fibrous biomaterials. J Mech Behav Biomed Mater 39:146–161. doi:10.1016/j.jmbbm.2014.07.016
Yu T, Liu X, Ye J et al (2014) Investigation of mechanical behavior of CPC/bone specimens by finite element analysis. Ceram Int 40:2933–2942. doi:10.1016/j.ceramint.2013.10.018
Nareliya R, Kumar V (2011) Biomechanical analysis of human femur bone. Int J Eng Sci Technol 3(4):3090–3094
Payan Y (ed) (2012) Soft tissue biomechanical modeling for computer assisted surgery. Springer, Berlin
Adewusi S, Thomas M, Vu HV (2014) Natural frequencies of the human hand-arm system using finite element method and experimental modal analysis. Trans Control Mech Syst 3(2):11–18
Schmidt H, Bashkuev M, Galbusera F et al (2014) Finite element study of human lumbar disc nucleus replacements. Comput Methods Biomech 17(16):1762–1776. doi:10.1080/10255842.2013.766722
Ghotge RS (2010) Effect of fixation using locked compression plate versus lag screws on biomechanics of talonavicular joint: a human cadaveric foot model. MSc. Thesis, The University of Tennessee and The University of Memphis
Middleton J, Jones ML, Pande GN (eds) (1998) Computer methods in biomechanics and biomedical engineering-2. Gordon and Breach Science Publishers, Amsterdam
Bonnet AS, Postaire M, Lipinski P (2009) Biomechanical study of mandible bone supporting a four-implant retained bridge: finite element analysis of the influence of bone anisotropy and food stuff position. Med Eng Phys 31:806–815. doi:10.1016/j.medengphy.2009.03.004
Erdemir A, Guess TM, Halloran J et al (2012) Considerations for reporting finite element analysis studies in biomechanics. J Biomech 45:625–633. doi:10.1016/j.jbiomech.2011.11.038
Burkhart TA, Andrews DM, Dunning CE (2013) Finite element modeling mesh quality, energy balance and validation methods: a review with recommendations associated with the modeling of bone tissue. J Biomech 46:1477–1488. doi:10.1016/j.jbiomech.2013.03.022
van den Munckhof S, Zadpoor AA (2014) How accurately can we predict the fracture load of the proximal femur using finite element models? Clin Biomech 29:373–380. doi:10.1016/j.clinbiomech.2013.12.018
Halonen KS, Mononen ME, Jurvelin JS et al (2014) Deformation of articular cartilage during static loading of a knee joint – experimental and finite element analysis. J Biomech 47:2467–2474. doi:10.1016/j.jbiomech.2014.04.013
Webb JD, Blemker SS, Delp SL (2014) 3D finite element models of shoulder muscles for computing lines of actions and moment arms. Comput Methods Biomech 17(8):829–837. doi:10.1080/10255842.2012.719605
Matsuura Y, Giambini H, Ogawa Y et al (2014) Specimen-specific nonlinear finite element modeling to predict vertebrae fracture loads after vertebroplasty. Spine 39(22):E1291–E1296. doi:10.1097/BRS.0000000000000540
MSC.Marc (2013) Mac Neal - Schwendler Corporation (MSC), USA
Yetmez M (2014) Sintering behavior and mechanical properties of biphasic calcium phosphate ceramics. Adv Mater Sci Eng 871749:1–5. doi:10.1155/2014/871749
Bronzino J (ed) (2000) Biomedical engineering handbook. CRC Press, Boca Raton
Houdkova S, Kasparova M (2013) Experimental study of indentation fracture toughness in HVOF sprayed hardmetal coatings. Eng Fract Mech 110:468–476. doi:10.1016/j.engfracmech.2013.05.001
Bowman KL Jr, Fox J, Sekiya JK (2010) A clinically relevant review of hip biomechanics. Arthroscopy 26(8):1118–1129. doi:10.1016/j.arthro.2010.01.027
Zachariah SG, Sanders JE (1996) Interface mechanics in lower-limb external prosthetics: a review of finite element method. IEEE Trans Rehabil Eng 4(4):288–302
Prendergast PJ (1997) Finite element models in tissue mechanics and orthopaedic implant design. Clin Biomech 12(6):343–366
Keaveny TM, Morgan EF, Niebur GL et al (2001) Biomechanics of trabecular bone. Annu Rev Biomed Eng 3:307–333
Crawford RP, Cann CE, Keaveny TM (2003) Finite element models predict in vitro vertebral body compressive strength better than quantitative computed tomography. Bone 33:744–750. doi:10.1016/S8756-3282(03)00210-2
Fernandez JW, Hunter PJ (2005) An anatomically based patient-specific finite element model of patella articulation: towards a diagnostic tool. Biomech Model Mech 4:20–38. doi:10.1016/S8756-3282(03)00210-2
Jiang HB (2007) Static and dynamic mechanics analysis on artificial hip joints with different interface designs by the finite element method. J Bionic Eng 4:123–131. doi:10.1016/S1672-6529(07)60024-9
Duchemin L, Mitton D, Jolivet E et al (2008) An anatomical subject-specific FE-model for hip fracture load prediction. Comput Methods Biomech 11(2):105–111. doi:10.1080/10255840701535965
Anderson AE, Ellis BJ, Maas SA et al (2010) Effects of idealized joint geometry on finite element predictions of cartilage contact stresses in the hip. J Biomech 43:1351–1357. doi:10.1016/j.jbiomech.2010.01.010
Birnbaum K, Pandorf T (2011) Finite element model of the proximal femur under consideration of the hip centralizing forces of the iliotibial tract. Clin Biomech 26:58–64. doi:10.1016/j.clinbiomech.2010.09.005
van de Groes S, de Waal-Melefijt M, Verdonschot N (2014) Probability of mechanical loosening of the femoral component in high flexion total knee arthroplasty can be reduced by rather simple surgical techniques. Knee 21:209–215. doi:10.1016/j.knee.2013.05.003
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Yetmez, M. (2016). Finite Element Analysis. In: Korkusuz, F. (eds) Musculoskeletal Research and Basic Science. Springer, Cham. https://doi.org/10.1007/978-3-319-20777-3_4
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DOI: https://doi.org/10.1007/978-3-319-20777-3_4
Publisher Name: Springer, Cham
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