Fatigue design of a mechanically biocompatible lattice for a proof-of-concept femoral stem

Journal of the Mechanical Behavior of Biomedical Materials

Volumn 22, Issue , 2013, Pages 65-83

  Arabnejad Khanoki, Sajad ^a   Pasini, Damiano ^a  

^a MCGILL UNIVERSITY   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

ASYMPTOTIC HOMOGENIZATION; CELLULAR MICROSTRUCTURE; CONTROLLED PROPERTIES; INTERFACE SHEAR STRESS; MORPHOLOGICAL PARAMETERS; MULTI-SCALE MECHANICS; PERIODIC MICROSTRUCTURE; STRESS AND STRAIN DISTRIBUTION;

BONE; CELLS; CYTOLOGY; FINITE ELEMENT METHOD; FRACTURE; MICROSTRUCTURE; OPTICAL MICROSCOPY; STRESSES; TWO DIMENSIONAL;

INTERFACES (MATERIALS);

BIOMATERIAL; TITANIUM;

ADULT; ANALYTIC METHOD; ARTICLE; ASYMPTOTIC HOMOGENIZATION THEORY; BIOCOMPATIBILITY; BIOMECHANICS; BIOMETRY; CASE REPORT; CELL SIZE; CELL WALL; CONCEPTUAL FRAMEWORK; CONTROLLED STUDY; CRYSTAL STRUCTURE; ELECTRON BEAM MELTING; FEMUR IMPLANT; FEMUR PROSTHESIS; FINITE ELEMENT ANALYSIS; GAIT; HIP; HUMAN; HUMAN CELL; LOAD CARRYING CAPACITY; MALE; MELTING POINT; MEMBRANE STRUCTURE; MICROSCOPY; MICROTECHNOLOGY; OSTEOLYSIS; PERIODICITY; PRIORITY JOURNAL; PROCESS DESIGN; SHEAR STRESS; SODERBERG DIAGRAM; WALKING;

ADULT; BIOCOMPATIBLE MATERIALS; BONE RESORPTION; FEMUR; FINITE ELEMENT ANALYSIS; HUMANS; MALE; MATERIALS TESTING; MECHANICAL PROCESSES; PROSTHESES AND IMPLANTS; PROSTHESIS DESIGN; WALKING;

EID: 84877697862     PISSN: 17516161     EISSN: 18780180     Source Type: Journal    
DOI: 10.1016/j.jmbbm.2013.03.002     Document Type: Article

References (97)

1. Abad E.M.K., Khanoki S.A., Pasini D. Fatigue design of lattice materials via computational mechanics: application to lattices with smooth transitions in cell geometry. International Journal of Fatigue 2012.
2. Abdul-Kadir M.R., Hansen U., Klabunde R., Lucas D., Amis A. Finite element modelling of primary hip stem stability: the effect of interference fit. Journal of Biomechanics 2008, 41:587-594.
3. ARCAM, 2013. Ti6Al4V Titanium Alloy.
4. Austman R.L., Milner J.S., Holdsworth D.W., Dunning C.E. The effect of the density-modulus relationship selected to apply material properties in a finite element model of long bone. Journal of Biomechanics 2008, 41:3171-3176.
5. Baca V., Horak Z., Mikulenka P., Dzupa V. Comparison of an inhomogeneous orthotropic and isotropic material models used for FE analyses. Medical Engineering & Physics 2008, 30:924-930.
6. Baleani M., Cristofolini L., Viceconti M. Endurance testing of hip prostheses: a comparison between the load fixed in ISO 7206 standard and the physiological loads. Clinical Biomechanics 1999, 14:339-345.
7. Behrens B., Wirth C., Windhagen H., Nolte I., Meyer-Lindenberg A., Bouguecha A. Numerical investigations of stress shielding in total hip prostheses. Proceedings of the Institution of Mechanical Engineers Part H: Journal of Engineering in Medicine 2008, 222:593-600.
8. Bendsøe M.P., Kikuchi N. Generating optimal topologies in structural design using a homogenization method. Computer Methods in Applied Mechanics and Engineering 1988, 71:197-224.
9. Bendsøe M.P., Sigmund O. Topology Optimization: Theory, Methods, and Applications 2003, Springer Verlag, Berlin, Heidelberd, New York.
10. Bobyn J.D., Poggie R., Krygier J., Lewallen D., Hanssen A., Lewis R., Unger A., O'keefe T., Christie M., Nasser S. Clinical validation of a structural porous tantalum biomaterial for adult reconstruction. The Journal of Bone and Joint Surgery 2004, 86:123-129.
11. Boyle C., Kim I.Y. Comparison of different hip prosthesis shapes considering micro-level bone remodeling and stress-shielding criteria using three-dimensional design space topology optimization. Journal of Biomechanics 2011, 44:1722-1728.
12. Boyle C., Kim I.Y. Three-dimensional micro-level computational study of Wolff's law via trabecular bone remodeling in the human proximal femur using design space topology optimization. Journal of Biomechanics 2011, 44:935-942.
13. Bragdon C., Jasty M., Greene M., Rubash H., Harris W. Biologic fixation of total hip implants: insights gained from a series of canine studies. The Journal of Bone and Joint Surgery 2004, 86:105-117.
14. Carter D., Orr T., Fyhrie D. Relationships between loading history and femoral cancellous bone architecture. Journal of Biomechanics 1989, 22:231-244.
15. Cheah C., Chua C., Leong K., Chua S. Development of a tissue engineering scaffold structure library for rapid prototyping. Part 1: Investigation and classification. The International Journal of Advanced Manufacturing Technology 2003, 21:291-301.
16. Cheah C., Chua C., Leong K., Chua S. Development of a tissue engineering scaffold structure library for rapid prototyping. Part 2: Parametric library and assembly program. The International Journal of Advanced Manufacturing Technology 2003, 21:302-312.
17. Coelho P., Fernandes P., Guedes J., Rodrigues H. A hierarchical model for concurrent material and topology optimisation of three-dimensional structures. Structural and Multidisciplinary Optimization 2008, 35:107-115.
18. Coelho P.G., Cardoso J.B., Fernandes P.R., Rodrigues H.C. Parallel computing techniques applied to the simultaneous design of structure and material. Advances in Engineering Software 2011, 42:219-227.
19. Cote F., Deshpande V., Fleck N., Evans A. The compressive and shear responses of corrugated and diamond lattice materials. International Journal of Solids and Structures 2006, 43:6220-6242.
20. CÔté F., Deshpande V.S., Fleck N.A. Shear fatigue strength of a prismatic diamond sandwich core. Scripta Materialia 2007, 56:585-588.
21. CÔté F., Fleck N.A., Deshpande V.S. Fatigue performance of sandwich beams with a pyramidal core. International Journal of Fatigue 2007, 29:1402-1412.
22. Deb K., Pratap A., Agarwal S., Meyarivan T. A fast and elitist multiobjective genetic algorithm: NSGA-II. IEEE Transactions on Evolutionary Computation 2002, 6:182-197.
23. Díaaz A., Kikuchi N. Solutions to shape and topology eigenvalue optimization problems using a homogenization method. International Journal for Numerical Methods in Engineering 1992, 35:1487-1502.
24. Dumontet H. Study of a boundary layer problem in elastic composite materials. RAIRO Modél. Math. Anal. Numér 1986, 20:265-286.
25. Geetha M., Singh A.K., Asokamani R., Gogia A.K. Ti based biomaterials, the ultimate choice for orthopaedic implants-a review. Progress in Materials Science 2009, 54:397-425.
26. Ghosh S., Lee K., Raghavan P. A multi-level computational model for multi-scale damage analysis in composite and porous materials. International Journal of Solids and Structures 2001, 38:2335-2385.
27. Gibson L.J. Biomechanics of cellular solids. Journal of Biomechanics 2005, 38:377-399.
28. Glassman A., Bobyn J., Tanzer M. New femoral designs do they influence stress shielding?. Clinical Orthopaedics and Related Research 2006, 453:64-74.
29. Gonçalves Coelho P., Rui Fernandes P., Carriço Rodrigues H. Multiscale modeling of bone tissue with surface and permeability control. Journal of Biomechanics 2011, 44:321-329.
30. Guedes J., Kikuchi N. Preprocessing and postprocessing for materials based on the homogenization method with adaptive finite element methods. Computer Methods in Applied Mechanics and Engineering 1990, 83:143-198.
31. Harrysson O.L.A., Cansizoglu O., Marcellin-Little D.J., Cormier D.R., West Ii, H.A. Direct metal fabrication of titanium implants with tailored materials and mechanical properties using electron beam melting technology. Materials Science and Engineering C 2008, 28:366-373.
32. Hassani B. A direct method to derive the boundary conditions of the homogenization equation for symmetric cells. Communications in numerical methods in engineering 1996, 12:185-196.
33. Hassani B., Hinton E. A review of homogenization and topology optimization I I I--topology optimization using optimality criteria. Computers & Structures 1998, 69:739-756.
34. Hedia H., Barton D., Fisher J., Elmidany T. A method for shape optimization of a hip prosthesis to maximize the fatigue life of the cement. Medical Engineering & Physics 1996, 18:647-654.
35. Hollister S., Kikuchi N. A comparison of homogenization and standard mechanics analyses for periodic porous composites. Computational Mechanics 1992, 10:73-95.
36. Hollister S.J. Porous scaffold design for tissue engineering. Nature materials 4 2005, 518-524.
37. Hollister S.J., Lin C.Y., Kang H., Adachi T. Computational design and simulation of tissue engineering scaffolds. Virtual Prototyping & Bio Manufacturing in Medical Applications 2008, 113-127.
38. Huang J.-S., Liu S.-Y. Fatigue of honeycombs under in-plane multiaxial loads. Materials Science and Engineering A 2001, 308:45-52.
39. Huang J.-S., Liu S.-Y. Fatigue of isotropic open-cell foams under multiaxial loads. International Journal of Fatigue 2001, 23:233-240.
40. Huang J.S., Lin J.Y. Fatigue of cellular materials. Acta Materialia 1996, 44:289-296.
41. Huiskes R. The various stress patterns of press-fit, ingrown, and cemented femoral stems. Clinical Orthopaedics and Related Research 1990, 261:27.
42. R. Huiskes, H. Weinans, H. J. Grootenboer, M. Dalstra, B. Fudala, and T. J. Slooff, "Adaptive bone-remodeling theory applied to prosthetic-design analysis," Journal of Biomechanics, vol. 20, pp. 1135-1150, 1987.
43. Huiskes R., Weinans H., Rietbergen B. The relationship between stress shielding and bone resorption around total hip stems and the effects of flexible materials. Clinical Orthopaedics and Related Research 1992, 274:124-134.
44. Kalamkarov A.L., Andrianov I.V., Danishevs'kyy V.V. Asymptotic homogenization of composite materials and structures. Applied Mechanics Reviews 2009, 62:030802.
45. Kang H., Lin C.Y., Hollister S.J. Topology optimization of three dimensional tissue engineering scaffold architectures for prescribed bulk modulus and diffusivity. Structural and Multidisciplinary Optimization 2010, 42:633-644.
46. Kanouté P., Boso D., Chaboche J., Schrefler B. Multiscale methods for composites: a review. Archives of Computational Methods in Engineering 2009, 16:31-75.
47. Kayabasi O., Ekici B. The effects of static, dynamic and fatigue behavior on three-dimensional shape optimization of hip prosthesis by finite element method. Materials & Design 2007, 28:2269-2277.
48. Khanoki S.A., Pasini D. Multiscale design and multiobjective optimization of orthopedic hip implants with functionally graded cellular material. Journal of Biomechanical Engineering 2012, 134:031004.
49. Kowalczyk P. Design optimization of cementless femoral hip prostheses using finite element analysis. Journal of Biomechanical Engineering 2001, 123:396-402.
50. Kuiper J., Huiskes R. Numerical optimization of hip-prosthetic stem material. Recent Advances in Computer Methods in Biomechanics & Biomedical Engineering. J. Mddleton, GN Pande, and KR Williams 1992, 76-84.
51. Kuiper J., Huiskes R. Friction and stem stiffness affect dynamic interface motion in total hip replacement. Journal of Orthopaedic Research 1996, 14:36-43.
52. Lefik M., Schrefler B. F E modelling of a boundary layer corrector for composites using the homogenization theory. Engineering Computations 1996, 13:31-42.
53. Li C., Granger C., Schutte H.D., Biggers S.B., Kennedy J.M., Latour R.A. Progressive failure analysis of laminated composite femoral prostheses for total hip arthroplasty. Biomaterials 2002, 23:4249-4262.
54. Li S.J., Murr L.E., Cheng X.Y., Zhang Z.B., Hao Y.L., Yang R., Medina F., Wicker R.B. Compression fatigue behavior of Ti-6Al-4V mesh arrays fabricated by electron beam melting. Acta Materialia 2012, 60:793-802.
55. Li X., Wang C., Zhang W., Li Y. Fabrication and compressive properties of Ti6Al4V implant with honeycomb-like structure for biomedical applications. Rapid Prototyping Journal 2010, 16:44-49.
56. Liu P.S., Du H.Y. Modeling failure modes of isotropic three-dimensional reticulated porous metal foams under several typical loads. Materials & Design 2011, 32:4786-4793.
57. Marin E., Fusi S., Pressacco M., Paussa L., Fedrizzi L. Characterization of cellular solids in Ti6Al4V for orthopaedic implant applications: trabecular titanium. Journal of the Mechanical Behavior of Biomedical Materials 2010, 3:373-381.
58. Murr L., Gaytan S., Medina F., Lopez H., Martinez E., Machado B., Hernandez D., Martinez L., Lopez M., Wicker R. Next-generation biomedical implants using additive manufacturing of complex, cellular and functional mesh arrays. Philosophical Transactions of the Royal Society of London, Series A: Mathematical, Physical and Engineering Sciences 2010, 368:1999-2032.
59. Murr L.E., Gaytan S.M., Martinez E., Medina F., Wicker R.B. Next generation orthopaedic implants by additive manufacturing using electron beam melting. International Journal of Biomaterials 2012 2012.
60. Murr L.E., Quinones S.A., Gaytan S.M., Lopez M.I., Rodela A., Martinez E.Y., Hernandez D.H., Martinez E., Medina F., Wicker R.B. Microstructure and mechanical behavior of Ti-6Al-4V produced by rapid-layer manufacturing, for biomedical applications. Journal of the Mechanical Behavior of Biomedical Materials 2009, 2:20-32.
61. Nganbe M., Khan U., Louati H., Speirs A., Beaulé P.E. In vitro assessment of strength, fatigue durability, and disassembly of Ti6Al4V and CoCrMo necks in modular total hip replacements. Journal of Biomedical Materials Research Part B: Applied Biomaterials 2011, 97B:132-138.
62. Nicholas T., Zuiker J. On the use of the Goodman diagram for high cycle fatigue design. International Journal of Fracture 1989, 80:219-235.
63. Olurin O., McCullough K., Fleck N., Ashby M. Fatigue crack propagation in aluminium alloy foams. International Journal of Fatigue 2001, 23:375-382.
64. Pal B., Gupta S., New A. A numerical study of failure mechanisms in the cemented resurfaced femur: effects of interface characteristics and bone remodelling. Proceedings of the Institution of Mechanical Engineers, Part H: Journal of Engineering in Medicine 2009, 223:471-484.
65. Parthasarathy J., Starly B., Raman S., Christensen A. Mechanical evaluation of porous titanium (Ti6Al4V) structures with electron beam melting (EBM). Journal of the Mechanical Behavior of Biomedical Materials 2010, 3:249-259.
66. Peng L., Bai J., Zeng X., Zhou Y. Comparison of isotropic and orthotropic material property assignments on femoral finite element models under two loading conditions. Medical Engineering & Physics 2006, 28:227-233.
67. Pérez M., Fornells P., Doblaré M., García-Aznar J. Comparative analysis of bone remodelling models with respect to computerised tomography-based finite element models of bone. Computer Methods in Biomechanics and Biomedical Engineering 2010, 13:71-80.
68. Pettersen S.H., Wik T.S., Skallerud B. Subject specific finite element analysis of stress shielding around a cementless femoral stem. Clinical Biomechanics 2009, 24:196-202.
69. Ploeg H.-L., Bürgi M., Wyss U.P. Hip stem fatigue test prediction. International Journal of Fatigue 2009, 31:894-905.
70. Raghavan P., Ghosh S. Concurrent multi-scale analysis of elastic composites by a multi-level computational model. Computer methods in applied mechanics and engineering 2004, 193:497-538.
71. Raimondi M., Pietrabissa R. Modelling evaluation of the testing condition influence on the maximum stress induced in a hip prosthesis during ISO 7206 fatigue testing. Medical Engineering & Physics 1999, 21:353-359.
72. Reilly G.C., Engler A.J. Intrinsic extracellular matrix properties regulate stem cell differentiation. Journal of Biomechanics 2010, 43:55-62.
73. Rodrigues H., Guedes J., Bendsoe M. Hierarchical optimization of material and structure. Structural and Multidisciplinary Optimization 2002, 24:1-10.
74. Schuh A., Bigoney J., Hönle W., Zeiler G., Holzwarth U., Forst R. Second generation (low modulus) titanium alloys in total hip arthroplasty. Materialwissenschaft und Werkstofftechnik 2007, 38:1003-1007.
75. Senalp A.Z., Kayabasi O., Kurtaran H. Static, dynamic and fatigue behavior of newly designed stem shapes for hip prosthesis using finite element analysis. Materials & Design 2007, 28:1577-1583.
76. Sevilla P., Aparicio C., Planell J.A., Gil F.J. Comparison of the mechanical properties between tantalum and nickel-titanium foams implant materials for bone ingrowth applications. Journal of Alloys and Compounds 2007, 439:67-73.
77. Simone A., Gibson L. Effects of solid distribution on the stiffness and strength of metallic foams. Acta Materialia 1998, 46:2139-2150.
78. Suzuki K., Kikuchi N. A homogenization method for shape and topology optimization. Computer Methods in Applied Mechanics and Engineering 1991, 93:291-318.
79. Takano N., Fukasawa K., Nishiyabu K. Structural strength prediction for porous titanium based on micro-stress concentration by micro-CT image-based multiscale simulation. International Journal of Mechanical Sciences 2010, 52:229-235.
80. Takano N., Okuno Y. Three-scale finite element analysis of heterogeneous media by asymptotic homogenization and mesh superposition methods. International Journal of Solids and Structures 2004, 41:4121-4135.
81. Takano N., Zako M., Ishizono M. Multi-scale computational method for elastic bodies with global and local heterogeneity. Journal of Computer-Aided Materials Design 2000, 7:111-132.
82. Takano N., Zako M., Okuno Y. Multi-scale finite element analysis of porous materials and components by asymptotic homogenization theory and enhanced mesh superposition method. Modelling and Simulation in Materials Science and Engineering 2003, 11:137-156.
83. Van Bael S., Chai Y.C., Truscello S., Moesen M., Kerckhofs G., Van Oosterwyck H., Kruth J.P., Schrooten J. The effect of pore geometry on the in vitro biological behavior of human periosteum-derived cells seeded on selective laser-melted Ti6Al4V bone scaffolds. Acta Biomaterialia 2012, 8:2824-2834.
84. Viceconti M., Brusi G., Pancanti A., Cristofolini L. Primary stability of an anatomical cementless hip stem: a statistical analysis. Journal of Biomechanics 2006, 39:1169-1179.
85. Viceconti M., Monti L., Muccini R., Bernakiewicz M., Toni A. Even a thin layer of soft tissue may compromise the primary stability of cementless hip stems. Clinical Biomechanics 2001, 16:765-775.
86. Viceconti M., Muccini R., Bernakiewicz M., Baleani M., Cristofolini L. Large-sliding contact elements accurately predict levels of bone-implant micromotion relevant to osseointegration. Journal of Biomechanics 2000, 33:1611-1618.
87. Vigliotti A., Pasini D. Stiffness and strength of tridimensional periodic lattices. Computer Methods in Applied Mechanics and Engineering 2012, 229-232:27-43.
88. Wang A., McDowell D. In-plane stiffness and yield strength of periodic metal honeycombs. Journal of Engineering Materials and Technology 2004, 126:137-156.
89. Weinans H., Huiskes R., Grootenboer H. Effects of material properties of femoral hip components on bone remodeling. Journal of Orthopaedic Research 1992, 10:845-853.
90. Weinans H., Huiskes R., Grootenboer H. Effects of fit and bonding characteristics of femoral stems on adaptive bone remodeling. Transactions of the ASME-K-Journal of Biomechanical Engineering 1994, 116:393-400.
91. Weinans H., Huiskes R., Grootenboer H.J. The behavior of adaptive bone-remodeling simulation models. Journal of Biomechanics 1992, 25:1425-1441.
92. Yuan F., Pagano N. Size scales for accurate homogenization in the presence of severe stress gradients. Mechanics of Advanced Materials and Structures 2003, 10:353-365.
93. Yushkevich P.A., Piven J., Hazlett H.C., Smith R.G., Ho S., Gee J.C., Gerig G. User-guided 3D active contour segmentation of anatomical structures: significantly improved efficiency and reliability. Neuroimage 2006, 31:1116-1128.
94. Zannoni C., Mantovani R., Viceconti M. Material properties assignment to finite element models of bone structures: a new method. Medical Engineering & Physics 1999, 20:735-740.
95. Zardiackas L.D., Parsell D.E., Dillon L.D., Mitchell D.W., Nunnery L.A., Poggie R Structure, metallurgy, and mechanical properties of a porous tantalum foam. Journal of Biomedical Materials Research 2001, 58:180-187.
96. Zhou J., Soboyejo W.O. Compression-compression fatigue of open cell aluminum foams: macro-/micro-mechanisms and the effects of heat treatment. Materials Science and Engineering A 2004, 369:23-35.
97. Zienkiewicz O.C., Taylor R.L. The Finite Element Method for Solid and Structural Mechanics 2005, Butterworth-Heinemann, Burlington, US.