Effect of including periodic boundary condition on the fatigue behaviour of cancellous bone

Januddi, Fatihhi; Harun, Muhamad Noor; Syahrom, Ardiyansyah; Bakri, Adnan; Alkbir, M. F. M.

Affiliations

¹Advance Facilities Engineering Technology Research Cluster (AFET-RC)Facilities Maintenance Engineering Section (FAME), Malaysian Institute of Industrial Technology,Universiti Kuala Lumpur (UniKL MITEC), Persiaran Sinaran Ilmu, Bandar Seri Alam, 81750, Johor, MALAYSIA

²Medical Devices and Technology Centre (MEDITEC), Institute of Human Centred and Engineering (iHumEn),Universiti Teknologi Malaysia, 81310, Johor, MALAYSIA

³Department of Applied Mechanics & Design, School of Mechanical Engineering, Faculty of Engineering,Universiti Teknologi Malaysia, Skudai, 81310, Johor, MALAYSIA

Abstract and keywords

Trabecular bone consists of complex webbing of plates and struts, in which the properties vary across anatomical sites. The substantial constraint is the reduction on discretization error will reduce time in computation. So it is significant to consider carefully the boundary condition effects when utilizing such a complex multiaxial loading mode. Additionally, multiaxial loading gives distinct effects towards boundary condition compare to uniaxial whereas percentage prediction of fatigue failure is lower and applying of periodic boundary reflect a more precise real loading condition. 3D models of trabecular samples were constructed for FE simulations. The response of the models towards simulated mechanical loading was investigated. Preparation of the models begins with 3D reconstruction of micro-CT stacked images, follows by segmentation, meshing and refurbishing process. The resistance of trabecular bone deformation to loading in both uniaxial and multiaxial modes improved the fatigue life and failure with application of periodic boundaryconditions.

Keywords: Periodic boundary; Fatigue; Cancellous Bone; Multiaxial; Mechanical behavior

Links

DOI: 10.30880/ijie.2020.12.05.009

WoS: 000558700400008

History

Received: 2020-05-21

Accepted: 2020-05-28

Online: 2020-06-30

Cited Works (28)

Year	Entry
2009	Rincón-Kohli L, Zysset PK. Multi-axial mechanical properties of human trabecular bone. Biomech Model Mechanobiol. June 2009;8(3):195-208.
2015	Goff MG, Lambers FM, Nguyen TM, Sung J, Rimnac CM, Hernandez CJ. Fatigue-induced microdamage in cancellous bone occurs distant from resorption cavities and trabecular surfaces. Bone. October 2015;79:8-14.
2016	Pisani P, Renna MD, Conversano F, Casciaro E, Di Paola M, Quarta E, Muratore M, Casciaro S. Major osteoporotic fragility fractures: risk factor updates and societal impact. World J Orthop. March 18, 2016;7(3):171-181.
2008	Dendorfer S, Maier HJ, Taylor D, Hammer J. Anisotropy of the fatigue behaviour of cancellous bone. J Biomech. 2008;41(3):636-641.
2006	Rapillard L, Charlebois M, Zysset PK. Compressive fatigue behavior of human vertebral trabecular bone. J Biomech. 2006;39(11):2133-2139.
1998	Majumdar S, Kothari M, Augat P, Newitt DC, Link TM, Lin JC, Lang T, Lu Y, Genant HK. High-resolution magnetic resonance imaging: three-dimensional trabecular bone architecture and biomechanical properties. Bone. May 1998;22(5):445-454.
2001	Keyak JH. Improved prediction of proximal femoral fracture load using nonlinear finite element models. Med Eng Phys. April 2001;23(3):165-173.
2012	Wolfram U, Gross T, Pahr DH, Schwiedrzik J, Wilke H-J, Zysset PK. Fabric-based Tsai-Wu yield criteria for vertebral trabecular bone in stress and strain space. J Mech Behav Biomed Mater. November 2012;15:218-228.
1999	Fenech CM, Keaveny TM. A cellular solid criterion for predicting the axial-shear failure properties of bovine trabecular bone. J Biomech Eng. August 1999;121(4):414-422.
1998	Kopperdahl DL, Keaveny TM. Yield strain behavior of trabecular bone. J Biomech. July 1998;31(7):601-608.
1998	Kinney JH, Ladd AJC. The relationship between three-dimensional connectivity and the elastic properties of trabecular bone. J Bone Miner Res. May 1998;13(5):839-845.
2002	Ding M, Odgaard A, Linde F, Hvid I. Age-related variations in the microstructure of human tibial cancellous bone. J Orthop Res. May 2002;20(3):615-621.
2005	Shefelbine SJ, Augat P, Claes L, Simo U. Trabecular bone fracture healing simulation with finite element analysis and fuzzy logic. J Biomech. December 2005;38(12):2440-2450.
2009	Bevill G, Keaveny TM. Trabecular bone strength predictions using finite element analysis of micro-scale images at limited spatial resolution. Bone. April 2009;44(4):579-584.
2004	Follet H, Boivin G, Rumelhart C, Meunier PJ. The degree of mineralization is a determinant of bone strength: a study on human calcanei. Bone. May 2004;34(5):783-789.
2002	Jaasma MJ, Bayraktar HH, Niebur GL, Keaveny TM. Biomechanical effects of intraspecimen variations in tissue modulus for trabecular bone. J Biomech. 2002;35(2):237-246.
1991	Røhl L, Larsen E, Linde F, Odgaard A, Jørgensen J. Tensile and compressive properties of cancellous bone. J Biomech. 1991;24(12):1143-1149.
2013	Thomsen JS, Niklassen AS, Ebbesen EN, Brüel A. Age-related changes of vertical and horizontal lumbar vertebral trabecular 3D bone microstructure is different in women and men. Bone. November 2013;57(1):47-55.
2008	Harrison NM, McDonnell PF, O’Mahoney DC, Kennedy OD, O’Brien FJ, McHugh PE. Heterogeneous linear elastic trabecular bone modelling using micro-CT attenuation data and experimentally measured heterogeneous tissue properties. J Biomech. August 7, 2008;41(11):2589-2596.
2000	Legrand E, Chappard D, Pascaretti C, Duquenne M, Krebs S, Rohmer V, Basle M, Audran M. Trabecular bone microarchitecture, bone mineral density, and vertebral fractures in male osteoporosis. J Bone Miner Res. January 2000;15(1):13-19.
2006	Stauber M, Müller R. Age-related changes in trabecular bone microstructures: global and local morphometry. Osteoporos Int. April 2006;17(4):616-626.
1995	van Rietbergen B, Weinans H, Huiskes R, Odgaard A. A new method to determine trabecular bone elastic properties and loading using micromechanical finite-element models. J Biomech. January 1995;28(1):69-81.
2002	Hsieh Y-F, Silva MJ. In vivo fatigue loading of the rat ulna induces both bone formation and resorption and leads to time-related changes in bone mechanical properties and density. J Orthop Res. July 2002;20(4):764-771.
2004	Haddock SM, Yeh OC, Mummaneni PV, Rosenberg WS, Keaveny TM. Similarity in the fatigue behavior of trabecular bone across site and species. J Biomech. February 2004;37(2):181-187.
2004	Bourne BC, van der Meulen MCH. Finite element models predict cancellous apparent modulus when tissue modulus is scaled from specimen CT-attenuation. J Biomech. May 2004;37(5):613-621.
1999	Yeh OC, Keaveny TM. Biomechanical effects of intraspecimen variations in trabecular architecture: a three-dimensional finite element study. Bone. August 1999;25(2):223-228.
2003	Moore TLA, Gibson LJ. Fatigue microdamage in bovine trabecular bone. J Biomech Eng. December 2003;125(6):769-776.
2010	Kadir MRA, Syahrom A, Öchsner A. Finite element analysis of idealised unit cell cancellous structure based on morphological indices of cancellous bone. Med Biol Eng Comput. May 2010;48(5):497-505.