PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Tytuł artykułu

Stress–strain characteristic of human trabecular bone based on depth sensing indentation measurements

Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
In the paper a relation between stress and strain for trabecular bone is presented. The relation is based on the results of depth sensing indentation (DSI) tests which were performed with a spherical indenter. The DSI technique allowed also to determine three measures of hardness, i.e. Martens hardness (HM), nanohardness (HIT), Vickers hardness (HV) and Young modulus EIT of the trabecular bone tissue. The bone samples were harvested from human femoral heads during orthopaedical procedures of hip joint implantation. In the research the Hertzian approach is undertaken. The constitutive relation is then formulated in the elastic domain. The values of hardness and the Young modulus obtained from the DSI tests are in good agreement with those found in literature. The stress–strain relation is formulated to implement it in the future in finite element analyses of trabecular bone. Such simulations allow to take into account the microstructural mechanical proper- ties of the trabecular tissue as well as remodelling phenomenon. This will make it possible to analyse the stress and strain states in bone for engineering and medical purposes.
Twórcy
  • Institute of Mechanics and Printing, Warsaw University of Technology, Narbutta 85, 02-524 Warsaw, Poland
autor
  • Institute of Precision Mechanics, Department of Mechanical Properties, Warsaw, Poland
  • Institute of Precision Mechanics, Department of Mechanical Properties, Warsaw, Poland
autor
  • Institute of Precision Mechanics, Department of Mechanical Properties, Warsaw, Poland
autor
  • Institute of Mechanics and Printing, Warsaw University of Technology, Warsaw, Poland
Bibliografia
  • [1] Hoffler CE, Moore KE, Kozloff K, Zysset PK, Brown MB, Goldstein SA. Heterogeneity of bone lamellar-level elastic moduli. Bone 2000;26:603–9.
  • [2] Donnelly E, Baker SP, Boskey AL, van der Meulen MCH. Effects of surface roughness and maximum load on the mechanical properties of cancellous bone measured by nanoindentation. J Biomed Mater Res 2006;77A:426–35.
  • [3] Rho JY, Roy ME, Tsui TY, Pharr GM. Elastic properties of microstructural components of humanbone tissue as measured by nanoindentation. J Biomed Mater Res 1999;45:48–54.
  • [4] Rho JY, Zioupos P, Currey JD, Pharr GM. Variations in the individual thick lamellar properties within osteons by nanoindentation. Bone 1999;25:295–300.
  • [5] Roy ME, Rho JY, Tsui TY, Evans ND, Pharr GM. Mechanical and morphological variation of the human lumbar vertebral cortical and trabecular bone. J Biomed Mater Res 1999;44:191–7.
  • [6] Turner CH, Rho J, Takano Y, Tsui TY, Pharr GM. The elastic properties of trabecular and cortical bone tissues are similar: results from two microscopic measurement techniques. J Biomech 1999;32:437–41.
  • [7] Albert C, Jameson J, Toth JM, Smith P, Harris G. Bone properties by nanoindentation in mild and severe osteogenesis imperfecta. Clin Biomech 2013;28:110–6.
  • [8] Fan ZF, Smith P, Rauch F, Harris GF. Nanoindentation as a means for distinguishing clinical type of osteogenesis imperfecta. Composites: Part B 2007;38:411–5.
  • [9] Rho JY, Tsui TY, Pharr GM. Elastic properties of human cortical and trabecular lamellar bone measured by nanoindentation. Biomaterials 1997;18:1325–30.
  • [10] Zysset PK, Guo XE, Hoffler CE, Moore KE, Goldstein SA. Elastic modulus and hardness of cortical and trabecular bone lamellae measured by nanoindentation in the human femur. J Biomech 1999;32:1005–12.
  • [11] Kim D-G, Jeong Y-H, Kosel E, Agnew AM, McComb DW, Bodnyk K, et al. Regional variation of bone tissue properties at the human mandibular condyle. Bone 2015;77:98–106.
  • [12] Ojanen X, Isaksson H, Töyräs J, Turunen MJ, Malo MKH, Halvari A, et al. Relationships between tissue composition and viscoelastic properties in human trabecular bone. J Biomech 2015;48:269–75.
  • [13] Hertz H. On the contact of elastic solids. J Reine Angew Math 1881;92:156–71.
  • [14] Sneddon IN. The relation between load and penetration in the axisymmetric boussinesq problem for a punch of arbitrary profile. Int J Eng Sci 1965;3:47–57.
  • [15] Oliver WC, Pharr GM. An improved technique for determining hardness and elastic modulus using load and displacement sensing indentation experiments. J Mater Res 1992;7:1564–83.
  • [16] Tabor D. Hardness of metals. Oxford, UK: Clarendon Press; 1951.
  • [17] Francis HA. Phenomenological analysis of plastic spherical indentation. J Eng Mater Technol ASME 1976;98:272–81.
  • [18] Juliano TF, VanLandingham MR, Weerasooriya T, Moy P. Extracting stress–strain and compressive yield stress information from spherical indentation. Ft. Belvoir Defense Technical Information Center; 2007.
  • [19] Jirousek O. Nanoindentation of human trabecular bone – tissue mechanical properties compared to standard engineering test methods. Rijeka: InTech; 2012 [chapter 11].
  • [20] Milanovic P, Potocnik J, Djonic D, Nikolic S, Zivkovic V, Djuric M, et al. Age-related deterioration in trabecular bone mechanical properties at material level: nanoindentation study of the femoral neck in women by using AFM. Exp Gerontol 2012;47:154–9.
  • [21] Hoffler CE, Guo XE, Zysset PK, Goldstein SA. An application of nanoindentation technique to measure bone tissue Lamellae properties. J Biomech Eng 2005;127:1046–53.
  • [22] Wolfram U, Wilke HJ, Zysset PK. Rehydration of vertebral trabecular bone: influences on its anisotropy, its stiffness and the indentation work with a view to age, gender and vertebral level. Bone 2009;46:348–54.
  • [23] Coats AM, Zioupos P, Aspden RM. Material properties of subchondral bone from patients with osteoporosis or osteoarthritis by microindentation testing and electron probe microanalysis. Calcif Tissue Int 2003;73:66–71.
  • [24] Hoffler CE, Moore KE, Kozloff K, Zysset PK, Goldstein SA. Age, gender, and bone lamellae elastic moduli. J Orthop Res 2000;18:432–7.
  • [25] Dall'Ara E, Ohman C, Baleani M, Viceconti M. Reduced tissue hardness of trabecular bone is associated with severe osteoarthritis. J Biomech 2011;44:1593–8.
  • [26] Cyganik Ł, Binkowski M, Kokot G, Rusin T, Popik P, Bolechała F, et al. Prediction of Young's modulus of trabeculaein micro scale using macro-scale's relationships between bone density and mechanical properties. J Mech Behav Biomed Mater 2014;36:120–34.
  • [27] van de Casteele E. Model-based approach for beam hardening correction and resolution measurements in microtomography;[PhD thesis] 2004, Antwerpen, http://visielab.ua.ac.be/theses/elke/thesis.pdf.
  • [28] Dall'Ara L, Grabowski P, Zioupos P, Viceconti M. Estimation of local anisotropy of plexiform bone: comparison between depth sensing micro-indentation and reference point indentation. J Biomech 2015;48:4073–80.
  • [29] Ashman RB, Rho JY. Elastic moduli of trabecular bone material. J Biomech 1988;21:177–81.
  • [30] Bembey AK, Oyen ML, Bushby AJ, Boyde A. Viscoelastic properties of bone as a function of hydration state determined by nanoindentation. Philos Mag 2006;86:5691–703.
  • [31] Pawlikowski M, Barcz K. Non-linear viscoelastic constitutive model for bovine cortical bone tissue. Biocybern Biomed Eng 2016;36:491–8.
  • [32] Natali AN, Carniel EL, Pavan PG. Constitutive modeling of inelastic behaviour of cortical bone. Med Eng Phys 2008;30:905–12.
  • [33] Garcia D, Zysset PK, Charlebois M, Curnier A. A three-dimensional elastic plastic damage constitutive law for bone tissue. Biomech Model Mechanobiol 2009;8:149–65.
  • [34] Goh SM, Charalambides MN, Williams JG. Characterisation of non-linear viscoelastic foods by the indentation technique. Rheol Acta 2004;44:47–54.
Uwagi
PL
Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-736635bc-d806-4e7e-a501-bf5dc09c87d7
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.