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Indentation experiments and simulation of ovine bone using a viscoelastic-plastic damage model

Published online by Cambridge University Press:  08 November 2011

Yang Zhao ,
Ziheng Wu ,
Simon Turner ,
Jennifer MacLeay ,
Glen L. Niebur  and
Timothy C. Ovaert
Yang Zhao
Affiliation:
Department of Aerospace and Mechanical Engineering, University of Notre Dame, Notre Dame, Indiana 46556
Ziheng Wu
Affiliation:
Department of Aerospace and Mechanical Engineering, University of Notre Dame, Notre Dame, Indiana 46556
Simon Turner
Affiliation:
Department of Clinical Sciences, College of Veterinary Medicine & Biomedical Sciences, Colorado State University, Fort Collins, Colorado 80523
Jennifer MacLeay
Affiliation:
Department of Clinical Sciences, College of Veterinary Medicine & Biomedical Sciences, Colorado State University, Fort Collins, Colorado 80523
Glen L. Niebur
Affiliation:
Department of Aerospace and Mechanical Engineering, University of Notre Dame, Notre Dame, Indiana 46556
Timothy C. Ovaert*
Affiliation:
Department of Aerospace and Mechanical Engineering, University of Notre Dame, Notre Dame, Indiana 46556
*
a)Address all correspondence to this author. e-mail: [email protected]
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Abstract

Indentation methods have been widely used to study bone at the micro- and nanoscales. It has been shown that bone exhibits viscoelastic behavior with permanent deformation during indentation. At the same time, damage due to microcracks is induced due to the stresses beneath the indenter tip. In this work, a simplified viscoelastic-plastic damage model was developed to more closely simulate indentation creep data, and the effect of the model parameters on the indentation curve was investigated. Experimentally, baseline and 2-year postovariectomized (OVX-2) ovine (sheep) bone samples were prepared and indented. The damage model was then applied via finite element analysis to simulate the bone indentation data. The mechanical properties of yielding, viscosity, and damage parameter were obtained from the simulations. The results suggest that damage develops more quickly for OVX-2 samples under the same indentation load conditions as the baseline data.

Keywords

NanoindentationBoneViscoelasticity
Type
Articles
Information
Journal of Materials Research , Volume 27 , Issue 1: Focus Issue: Instrumented Indentation , 14 January 2012 , pp. 368 - 377
Copyright
Copyright © Materials Research Society 2011

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References

REFERENCES

1.Willems, G., Celis, J.P., Lambrechts, P., Braem, M., and Vanherle, G.: Hardness and Young’s modulus determined by nanoindentation technique of filler particles of dental restorative materials compared with human enamel. J. Biomed. Mater. Res. Part A 27, 747 (1993).CrossRefGoogle ScholarPubMed
2.Turner, C.H., Rho, J., Takano, Y., Tsui, T.Y., and Pharr, G.M.: The elastic properties of trabecular and cortical bone tissues are similar: Results from two microscopic measurement techniques. J. Biomech. 32, 437 (1999).Google Scholar
3.Hoc, T., Henry, L., Verdier, M., Aubry, D., Sedel, L., and Meunier, A.: Effect of microstructure on the mechanical properties of Haversian cortical bone. Bone 38, 466 (2006).Google Scholar
4.Zhang, J., Niebur, G.L., and Ovaert, T.C.: Mechanical property determination of bone through nano- and micro-indentation testing and finite element simulation. J. Biomech. 41, 267 (2008).Google Scholar
5.Hoffler, C.E., Guo, X.E., Zysset, P.K., and Goldstein, S.A.: An application of nanoindentation technique to measure bone tissue lamellae properties. J. Biomech. Eng. 127, 1046 (2005).Google Scholar
6.Siegmund, T., Allen, M.R., and Burr, D.B.: Failure of mineralized collagen fibrils: Modeling the role of collagen cross-linking. J. Biomech. 41, 1427 (2008).CrossRefGoogle ScholarPubMed
7.Bembey, A.K., Oyen, M.L., Bushby, A.J., and Boyde, A.: Viscoelastic properties of bone as a function of hydration state determined by nanoindentation. Philos. Mag. 86, 33 (2006).Google Scholar
8.Isaksson, H., Nagao, S., Małkiewicz, M., Julkunen, P., Nowak, R., and Jurvelin, J.S.: Precision of nanoindentation protocols for measurement of viscoelasticity in cortical and trabecular bone. J. Biomech. 43, 2410 (2010).CrossRefGoogle ScholarPubMed
9.Oyen, M.L. and Ko, C-C.: Examination of local variations in viscous, elastic, and plastic indentation responses in healing bone. J. Mater. Sci.- Mater. Med. 18, 623 (2007).CrossRefGoogle ScholarPubMed
10.Garcia, D., Zysset, P.K., Charlebois, M., and Curnier, A.: A three-dimensional elastic plastic damage constitutive law for bone tissue. Biomech. Model. Mechanobiol. 8, 149 (2009).CrossRefGoogle ScholarPubMed
11.Ji, B.: A study of the interface strength between protein and mineral in biological materials. J. Biomech. 41, 259 (2008).CrossRefGoogle ScholarPubMed
12.Ramtani, S. and Zidi, M.: A theoretical model of the effect of continuum damage on a bone adaptation model. J. Biomech. 34, 471 (2001).CrossRefGoogle ScholarPubMed
13.Souchet, R.: On yield criteria in plasticity coupled with damage. Int. J. Eng. Sci. 46, 725 (2008).Google Scholar
14.Ager, J.W. III, Balooch, G., and Ritchie, R.O.: Fracture, aging, and disease in bone. J. Mater. Res. 21, 1878 (2006).Google Scholar
15.Zhang, J., Michalenko, M.M., Kuhl, E., and Ovaert, T.C.: Characterization of indentation response and stiffness reduction of bone using a continuum damage model. J. Mech. Behav. Biomed. Mater. 2, 189 (2010).Google Scholar
16.Abaqus Theory Manual: Simulia, Inc., Providence RI, USA (2004).Google Scholar
17.Liu, K. and Ovaert, T.C.: Poro-viscoelastic constitutive modeling of unconfined creep of hydrogels using finite element analysis with integrated optimization method. J. Mech. Behav. Biomed. Mater. 4, 440 (2011).Google Scholar
18.Liu, K., Vanlandingham, M.R., and Ovaert, T.C.: Mechanical characterization of soft viscoelastic gels via indentation and optimization-based inverse finite element analysis. J. Mech. Behav. Biomed. Mater. 2, 355 (2009).Google Scholar
19.Rauchs, G. and Bardon, J.: Identification of elasto-viscoplastic material parameters by indentation testing and combined finite element modeling and numerical optimization. Finite Elem. Anal. Des. 47, 653 (2011).CrossRefGoogle Scholar
20.Galli, M., Fornasiere, E., Cugnoni, J., and Oyen, M.L.: Poroviscoelastic characterization of particle-reinforced gelatin gels using indentation and homogenization. J. Mech. Behav. Biomed. Mater. 4, 610 (2011).Google Scholar
21.Wu, Z., Baker, T.A., Ovaert, T.C., and Niebur, G.L.: The effect of holding time on nanoindentation measurements of creep in bone. J. Biomech. 44, 1066 (2011).Google Scholar
22.Bouxsein, M.L., Boyd, S.K., Christiansen, B.A., Guldberg, R.E., Jepsen, K.J., and Muller, R.: Guidelines for assessment of bone microstructure in rodents using micro–computed tomography. J. Bone Miner. Res. 25, 1468 (2010).CrossRefGoogle ScholarPubMed
23.Kazakia, G.J., Burghardt, A.J., Cheung, S., and Majumdar, S.: Assessment of bone tissue mineralization by conventional X-ray microcomputed tomography: Comparison with synchrotron radiation microcomputed tomography and ash measurements. Med. Phys. 35, 3170 (2008).CrossRefGoogle ScholarPubMed
24.Bayraktar, H.H., Morgan, E.F., Niebur, G.L., Morris, G.E., Wong, E.K., and Keaveny, T.M.: Comparison of the elastic and yield properties of human femoral trabecular and cortical bone tissue. J. Biomech. 37, 27 (2004).Google Scholar
25.Burstein, A.H., Reilly, D.T., and Martens, M.: Aging of bone tissue: Mechanical properties. J. Bone Joint Surg. Am. 58, 82 (1976).CrossRefGoogle ScholarPubMed
26.Hanson, U., Zioupos, P., Simpson, R., Currey, J.D., and Hynd, D.: The effect of strain rate on the mechanical properties of human cortical bone. J. Biomech. Eng. 130, 011011 (2008).Google Scholar
27.Lewis, J.L. and Goldsmith, W.: The dynamic fracture and prefracture response of compact bone by split Hopkinson bar methods. J. Biomech. 8, 27 (1975).Google Scholar
28.Katsamanis, F. and Raftopoulos, D.: Determination of mechanical properties of human femoral cortical bone by the Hopkinson bas stress technique. J. Biomech. 23, 1173 (1990).CrossRefGoogle Scholar
29.Buehler, M.J.: Molecular nanomechanics of nascent bone: Fibrillar toughening by mineralization. Nanotechnology 18, 1 (2007).Google Scholar
30.Ji, B. and Gao, H.: Mechanical properties of nanostructure of biological materials. J. Mech. Phys. Solids 52, 1963 (2004).CrossRefGoogle Scholar
31.Bartel, D.L., Davy, D.T., and Keaveny, T.M.: Orthopaedic Biomechanics: Mechanics and Design in Musculoskeletal Systems. (Pearson Education, New Jersey, 2006).Google Scholar