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2019 | OriginalPaper | Chapter

Application of Numerical Methods in Design and Analysis of Orthopedic Implant Integrity

Authors : Katarina Čolić, Aleksandar Grbović, Aleksandar Sedmak, Kaled Legweel

Published in: Experimental and Numerical Investigations in Materials Science and Engineering

Publisher: Springer International Publishing

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Abstract

In this paper a numerical analysis of hip implant model and hip implant model with a crack in a biomaterial is presented. Hip implants still exhibit problem of premature failure, promoting their integrity and life at the top of the list of problems to be solved in near future. Any damage due to wear or corrosion is ideal location for crack initiation and further fatigue growth. Therefore, this paper is focused on integrity of hip implants with an aim to improve their performance and reliability. Numerical models are based on the finite element method (FEM), including the extended FEM (X-FEM). FEM became a powerful and reliable numerical tool for analysis of structures subjected to different types of load in cases where solving of these problems was too complex for exclusively analytical methods. FEM is a method based on discretization of complex geometrical domains into much smaller and simpler ones, wherein field variables can be interpolated using shape functions. Numerical analysis was performed on three- dimensional models, to investigate mechanical behaviour of a hip implant at acting forces from 3.5 to 6.0 kN. Short theoretical background on the stress intensity factors computation is presented. Results presented in this paper indicate that acting forces can lead to implant failure due to stress field changes. For the simulation of crack propagation extended finite element method (XFEM) was used as one of the most advanced modelling techniques for this type of problem.

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Literature
1.
go back to reference Colic, K., Sedmak, A., Legweel, K., Miloševic, M., Mitrovic, N., Miškovic, Ž., Hloch, S.: Experimental and numerical research of mechanical behaviour of titanium alloy hip implant. Tehnicki vjesnik – Tech. Gaz. 24(3), 709–713 (2017) Colic, K., Sedmak, A., Legweel, K., Miloševic, M., Mitrovic, N., Miškovic, Ž., Hloch, S.: Experimental and numerical research of mechanical behaviour of titanium alloy hip implant. Tehnicki vjesnik – Tech. Gaz. 24(3), 709–713 (2017)
2.
go back to reference Tatić, U., Čolić, K., Sedmak, A., Mišković, Ž., Petrović, A.: Evaluation of the locking compression plates stress-strain fields. Tehničkivjesnik – Technical Gazette 25(1), 112–117 (2018) Tatić, U., Čolić, K., Sedmak, A., Mišković, Ž., Petrović, A.: Evaluation of the locking compression plates stress-strain fields. Tehničkivjesnik – Technical Gazette 25(1), 112–117 (2018)
3.
go back to reference Milovanović, A., Sedmak, A., Čolić, K., Tatić, U., Đorđević, B.: Numerical analysis of stress distribution in total hip replacement implant. Struct. Integr. Life 17(2), 139–144 (2017) Milovanović, A., Sedmak, A., Čolić, K., Tatić, U., Đorđević, B.: Numerical analysis of stress distribution in total hip replacement implant. Struct. Integr. Life 17(2), 139–144 (2017)
4.
go back to reference Reddy, J.N.: An Introduction to the Finite Element Method. McGraw-Hill, New York (2005) Reddy, J.N.: An Introduction to the Finite Element Method. McGraw-Hill, New York (2005)
5.
go back to reference Hutton, D.V.: Fundamentals of Finite Element Analysis. Mc Graw Hill, New York (2004) Hutton, D.V.: Fundamentals of Finite Element Analysis. Mc Graw Hill, New York (2004)
6.
go back to reference Senalp, A.Z., Kayabasi, O., Kurtaran, H.: Static, dynamic and fatigue behavior of newly designed stem shapes for hip prosthesis using finite element analysis. Mater. Des. 28, 1577–1583 (2007)CrossRef Senalp, A.Z., Kayabasi, O., Kurtaran, H.: Static, dynamic and fatigue behavior of newly designed stem shapes for hip prosthesis using finite element analysis. Mater. Des. 28, 1577–1583 (2007)CrossRef
7.
go back to reference Colic, K., Sedmak, A., Grbovic, A., Tatic, U., Sedmak, S., Djordjevic, B.: Finite element modeling of hip implant static loading. Proc. Eng. 149, 257–262 (2016)CrossRef Colic, K., Sedmak, A., Grbovic, A., Tatic, U., Sedmak, S., Djordjevic, B.: Finite element modeling of hip implant static loading. Proc. Eng. 149, 257–262 (2016)CrossRef
8.
go back to reference Bennett, D., Goswami, T.: Finite element analysis of hip stem designs. Mater. Des. 29(1), 45–60 (2008)CrossRef Bennett, D., Goswami, T.: Finite element analysis of hip stem designs. Mater. Des. 29(1), 45–60 (2008)CrossRef
9.
go back to reference Pyburn, E., Goswami, T.: Finite element analysis of femoral components paper III-hip joints. Mater. Des. 25, 705–713 (2004)CrossRef Pyburn, E., Goswami, T.: Finite element analysis of femoral components paper III-hip joints. Mater. Des. 25, 705–713 (2004)CrossRef
10.
go back to reference Paliwal, M., Gordon Allan, D., Filip, P.: Failure analysis of three uncemented titanium-alloy modular total hip stems. Eng. Fail. Anal. 17(5), 1230–1238 (2010)CrossRef Paliwal, M., Gordon Allan, D., Filip, P.: Failure analysis of three uncemented titanium-alloy modular total hip stems. Eng. Fail. Anal. 17(5), 1230–1238 (2010)CrossRef
11.
go back to reference Gross, S., Abel, E.W.: A finite element analysis of hollow stemmed hip prostheses as a means of reducing stress shielding of the femur. J. Biomech. 34(8), 995–1003 (2001)CrossRef Gross, S., Abel, E.W.: A finite element analysis of hollow stemmed hip prostheses as a means of reducing stress shielding of the femur. J. Biomech. 34(8), 995–1003 (2001)CrossRef
12.
go back to reference Hrubina, M., Horák, Z., Bartoška, R., Navrátil, L., Rosina, J.: Computational modeling in the prediction of Dynamic Hip Screw failure in proximal femoral fractures. J. Appl. Biomed. 11(3), 143–151 (2013)CrossRef Hrubina, M., Horák, Z., Bartoška, R., Navrátil, L., Rosina, J.: Computational modeling in the prediction of Dynamic Hip Screw failure in proximal femoral fractures. J. Appl. Biomed. 11(3), 143–151 (2013)CrossRef
13.
go back to reference Balac, I., Colic, K., Milovancevic, M., Uskokovic, P., Zrilic, M.: Modeling of the matrix porosity influence on the elastic properties of particulate biocomposites. FME Trans. 40(2), 81–86 (2012) Balac, I., Colic, K., Milovancevic, M., Uskokovic, P., Zrilic, M.: Modeling of the matrix porosity influence on the elastic properties of particulate biocomposites. FME Trans. 40(2), 81–86 (2012)
14.
go back to reference Geringer, J., Imbert, L., Kim, K.: Computational Modelling of Biomechanics and Biotribology in the Musculoskeletal System, Computational Modeling of Hip Implants, Biomaterials and Tissues, pp. 389–416. Woodhead Publishing Limited, Sawston (2014) Geringer, J., Imbert, L., Kim, K.: Computational Modelling of Biomechanics and Biotribology in the Musculoskeletal System, Computational Modeling of Hip Implants, Biomaterials and Tissues, pp. 389–416. Woodhead Publishing Limited, Sawston (2014)
15.
go back to reference Huiskes, R., Chao, E.Y.S.: A survey of finite element analysis in orthopedic biomechanics. First Decade J. Biomech. 16(6), 385–409 (1983)CrossRef Huiskes, R., Chao, E.Y.S.: A survey of finite element analysis in orthopedic biomechanics. First Decade J. Biomech. 16(6), 385–409 (1983)CrossRef
16.
go back to reference Prendergast, P.J.: Clinical finite element models in tissue mechanics and orthopedic implant design. Biomechanics 12(6), 343–366 (1997)CrossRef Prendergast, P.J.: Clinical finite element models in tissue mechanics and orthopedic implant design. Biomechanics 12(6), 343–366 (1997)CrossRef
17.
go back to reference Huiskes, R., Hollister, S.J.: From structure to process, from organ to cell: recent developments of FE-analysis in orthopaedic biomechanics. J. Biomech. Eng. 115, 520–527 (1993)CrossRef Huiskes, R., Hollister, S.J.: From structure to process, from organ to cell: recent developments of FE-analysis in orthopaedic biomechanics. J. Biomech. Eng. 115, 520–527 (1993)CrossRef
18.
go back to reference Yosibasha, Z., Katza, A., Milgromb, C.: Toward verified and validated FE simulations of a femur with a cemented hip prosthesis. Med. Eng. Phys. 35(7), 978–987 (2013)CrossRef Yosibasha, Z., Katza, A., Milgromb, C.: Toward verified and validated FE simulations of a femur with a cemented hip prosthesis. Med. Eng. Phys. 35(7), 978–987 (2013)CrossRef
19.
go back to reference Marangalou, J.H., Ito, K., van Rietbergen, B.: A new approach to determine the accuracy of morphology–elasticity relationships in continuum FE analyses of human proximal femur. J. Biomech. 45(16), 2884–2892 (2012)CrossRef Marangalou, J.H., Ito, K., van Rietbergen, B.: A new approach to determine the accuracy of morphology–elasticity relationships in continuum FE analyses of human proximal femur. J. Biomech. 45(16), 2884–2892 (2012)CrossRef
20.
go back to reference Belytschko, T., Black, T.: Elastic crack growth in finite elements with minimal remeshing. Int. J. Numer. Methods Eng. 45(5), 601–620 (1998)CrossRef Belytschko, T., Black, T.: Elastic crack growth in finite elements with minimal remeshing. Int. J. Numer. Methods Eng. 45(5), 601–620 (1998)CrossRef
21.
go back to reference Moës, N., Dolbow, J., Belytschko, T.: A finite element method for crack growth without remeshing. Int. J. Numer. Methods Eng. 46(1), 131–150 (1999)CrossRef Moës, N., Dolbow, J., Belytschko, T.: A finite element method for crack growth without remeshing. Int. J. Numer. Methods Eng. 46(1), 131–150 (1999)CrossRef
22.
go back to reference Karihaloo, B.L., Xiao, Q.Z.: Modelling of stationary and growing cracks in FE framework without remeshing: a state-of-the-art review. Comput. Struct. 81(3), 119–129 (2003)CrossRef Karihaloo, B.L., Xiao, Q.Z.: Modelling of stationary and growing cracks in FE framework without remeshing: a state-of-the-art review. Comput. Struct. 81(3), 119–129 (2003)CrossRef
23.
go back to reference Maligno, A.R., Rajaratnam, S., Leen, S.B., Williams, E.J.: A three-dimensional (3D) numerical study of fatigue crack growth using remeshing techniques. Eng. Fract. Mech. 77(1), 94–111 (2010)CrossRef Maligno, A.R., Rajaratnam, S., Leen, S.B., Williams, E.J.: A three-dimensional (3D) numerical study of fatigue crack growth using remeshing techniques. Eng. Fract. Mech. 77(1), 94–111 (2010)CrossRef
24.
go back to reference Kastratovic, G., Grbovic, A., Vidanovic, N.: Approximate method for stress intensity factors determination in case of multiple site damage. Appl. Math. Model. 39(19), 6050–6059 (2015)MathSciNetCrossRef Kastratovic, G., Grbovic, A., Vidanovic, N.: Approximate method for stress intensity factors determination in case of multiple site damage. Appl. Math. Model. 39(19), 6050–6059 (2015)MathSciNetCrossRef
25.
go back to reference Kredegh, A., Sedmak, A., Grbovic, A., Sedmak, S.: Stringer effect on fatigue crack propagation in A2024-T351 aluminum alloy welded joint. Int. J. Fatigue 105, 276–282 (2017)CrossRef Kredegh, A., Sedmak, A., Grbovic, A., Sedmak, S.: Stringer effect on fatigue crack propagation in A2024-T351 aluminum alloy welded joint. Int. J. Fatigue 105, 276–282 (2017)CrossRef
26.
go back to reference Djurdjevic, A., Zivojinovic, D., Grbovic, A., Sedmak, A., Rakin, M., Dascau, H., Kirin, S.: Numerical simulation of fatigue crack propagation in friction stir welded joint made of Al 2024-T351 alloy. Eng. Fail. Anal. 58, 477–484 (2015)CrossRef Djurdjevic, A., Zivojinovic, D., Grbovic, A., Sedmak, A., Rakin, M., Dascau, H., Kirin, S.: Numerical simulation of fatigue crack propagation in friction stir welded joint made of Al 2024-T351 alloy. Eng. Fail. Anal. 58, 477–484 (2015)CrossRef
27.
go back to reference Colic, K., Sedmak, A., Grbovic, A., Burzić, M., Hloch, S., Sedmak, S.: Numerical simulation of fatigue crack growth in hip implants. Proc. Eng. 149, 229–235 (2016)CrossRef Colic, K., Sedmak, A., Grbovic, A., Burzić, M., Hloch, S., Sedmak, S.: Numerical simulation of fatigue crack growth in hip implants. Proc. Eng. 149, 229–235 (2016)CrossRef
28.
go back to reference Belytschko, T., Black, T.: Elastic crack growth in finite elements with minimal remeshing. Int. J. Numer. Methods Eng. 45(5), 601–620 (1999)CrossRef Belytschko, T., Black, T.: Elastic crack growth in finite elements with minimal remeshing. Int. J. Numer. Methods Eng. 45(5), 601–620 (1999)CrossRef
29.
go back to reference Moës, N., Dolbow, J., Belytschko, T.: A finite element method for crack growth without remeshing. Int. J. Numer. Methods Eng. 46(1), 131–150 (1999)CrossRef Moës, N., Dolbow, J., Belytschko, T.: A finite element method for crack growth without remeshing. Int. J. Numer. Methods Eng. 46(1), 131–150 (1999)CrossRef
30.
go back to reference Mohammadi, S.: Extended Finite Element Method for Fracture Analysis of Structure. Blackwell Publishing Ltd., Oxford (2008)CrossRef Mohammadi, S.: Extended Finite Element Method for Fracture Analysis of Structure. Blackwell Publishing Ltd., Oxford (2008)CrossRef
31.
go back to reference Abdelaziz, Y., Hamouine, A.: A survey of the extended finite element. Comput. Struct. 86(11–12), 1141–1151 (2008)CrossRef Abdelaziz, Y., Hamouine, A.: A survey of the extended finite element. Comput. Struct. 86(11–12), 1141–1151 (2008)CrossRef
32.
go back to reference Affatato, S., Colic, K., Hut, I., Mirjanić, D., Pelemis, S., Mitrovic, A.: Short History of Biomaterials Used in Hip Arthroplasty and Their Modern Evolution. Biomaterials in Clinical Practice. Springer, Cham (2018) Affatato, S., Colic, K., Hut, I., Mirjanić, D., Pelemis, S., Mitrovic, A.: Short History of Biomaterials Used in Hip Arthroplasty and Their Modern Evolution. Biomaterials in Clinical Practice. Springer, Cham (2018)
33.
go back to reference Sedmak, A., Čolić, K., Burzić, Z., Tadić, S.: Structural integrity assessment of hip implant made of cobalt-chromium multiphase alloy. Struct. Integr. Life 10(2), 161–164 (2010) Sedmak, A., Čolić, K., Burzić, Z., Tadić, S.: Structural integrity assessment of hip implant made of cobalt-chromium multiphase alloy. Struct. Integr. Life 10(2), 161–164 (2010)
34.
go back to reference Colic, K., Sedmak, A., Gubeljak, N., Burzic, M., Petronic, S.: Experimental analysis of fracture behavior of stainless steel used for biomedical applications. Struct. Integr. Life 12(1), 59–63 (2012) Colic, K., Sedmak, A., Gubeljak, N., Burzic, M., Petronic, S.: Experimental analysis of fracture behavior of stainless steel used for biomedical applications. Struct. Integr. Life 12(1), 59–63 (2012)
35.
go back to reference Cvijović-Alagić, I., Cvijović, Z., Mitrović, S., Panić, V., Rakin, M.: Wear and corrosion behaviour of Ti–13Nb–13Zr and Ti–6Al–4V alloys in simulated physiological solution. Corros. Sci. 53(2), 796–808 (2011)CrossRef Cvijović-Alagić, I., Cvijović, Z., Mitrović, S., Panić, V., Rakin, M.: Wear and corrosion behaviour of Ti–13Nb–13Zr and Ti–6Al–4V alloys in simulated physiological solution. Corros. Sci. 53(2), 796–808 (2011)CrossRef
36.
go back to reference Hloch, S., Monka, P., Hvizdos, P., Jakubeczyova, D., Kozak, D.V., Colic, K.G., Kl’oc, J., Magurova, D.: Thermal manifestations and nanoindentation of bone cements for orthopaedic surgery. Thermal Sci. 18(1), S251–S258 (2014)CrossRef Hloch, S., Monka, P., Hvizdos, P., Jakubeczyova, D., Kozak, D.V., Colic, K.G., Kl’oc, J., Magurova, D.: Thermal manifestations and nanoindentation of bone cements for orthopaedic surgery. Thermal Sci. 18(1), S251–S258 (2014)CrossRef
37.
go back to reference Kühn, K.D.: Bone Cements: Up-To-Date Comparison of Physical and Mechanical Properties of Commercial Materials. Springer, New York (2000)CrossRef Kühn, K.D.: Bone Cements: Up-To-Date Comparison of Physical and Mechanical Properties of Commercial Materials. Springer, New York (2000)CrossRef
38.
go back to reference Hernandez-Rodriguez, M.A.L., Ortega-Saenz, J.A., Contreras-Hernandez, G.R.: Failure analysis of a total hip prosthesis implanted in active patient. J. Mech. Behav. Biomed. Mater. 3, 619–622 (2010)CrossRef Hernandez-Rodriguez, M.A.L., Ortega-Saenz, J.A., Contreras-Hernandez, G.R.: Failure analysis of a total hip prosthesis implanted in active patient. J. Mech. Behav. Biomed. Mater. 3, 619–622 (2010)CrossRef
39.
go back to reference Legweel, K., Sedmak, A., Čolić, K., Burzić, Z., Gubeljak, L.: Elastic-plastic fracture behaviour of multiphase alloy MP35N. Struct. Integr. Life 15(3), 163–166 (2015) Legweel, K., Sedmak, A., Čolić, K., Burzić, Z., Gubeljak, L.: Elastic-plastic fracture behaviour of multiphase alloy MP35N. Struct. Integr. Life 15(3), 163–166 (2015)
40.
go back to reference Lee, E.W., Kim, H.T.: Early fatigue failures of cemented, forged, cobalt-chromium femoral stems at the neck-shoulder junction. J. Arthroplast. 16(2), 236–238 (2001)MathSciNetCrossRef Lee, E.W., Kim, H.T.: Early fatigue failures of cemented, forged, cobalt-chromium femoral stems at the neck-shoulder junction. J. Arthroplast. 16(2), 236–238 (2001)MathSciNetCrossRef
41.
go back to reference Woolson, S., Milbauer, J., Bobyn, J.D., Maloney, W.J.: Fatigue fracture of a forged cobalt-chromium-molybdenum femoral component inserted with cement: a report of ten cases. J. Bone Jt. Surg. Am. 79(12), 1842–1848 (1997)CrossRef Woolson, S., Milbauer, J., Bobyn, J.D., Maloney, W.J.: Fatigue fracture of a forged cobalt-chromium-molybdenum femoral component inserted with cement: a report of ten cases. J. Bone Jt. Surg. Am. 79(12), 1842–1848 (1997)CrossRef
42.
go back to reference Lam, L.O., Stoffel, K., Kop, A., Swarts, E.: Catastrophic failure of 4 cobalt-alloy Omnifit hip arthroplasty femoral components. Acta Orthop. 79(1), 18–21 (2008)CrossRef Lam, L.O., Stoffel, K., Kop, A., Swarts, E.: Catastrophic failure of 4 cobalt-alloy Omnifit hip arthroplasty femoral components. Acta Orthop. 79(1), 18–21 (2008)CrossRef
Metadata
Title
Application of Numerical Methods in Design and Analysis of Orthopedic Implant Integrity
Authors
Katarina Čolić
Aleksandar Grbović
Aleksandar Sedmak
Kaled Legweel
Copyright Year
2019
DOI
https://doi.org/10.1007/978-3-319-99620-2_8

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