Abstract
In this chapter, mechanical behaviours of a unique type of composite material—cortical bone tissue—are considered for different length scales. Both experimental and computational approaches are discussed in this study to evaluate the effects of mechanical anisotropy and structural heterogeneity on the fracture process of cortical bone. First, variability and anisotropic mechanical behaviour of cortical bone tissue are characterised and analysed experimentally for different loading conditions and orientations. Then, results from the experimental studies are used to develop finite-element models across different length-scales to elucidate mechanical and structural mechanisms underpinning the anisotropic and non-linear fracture processes of cortical bone.
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References
Abdel-Wahab AA, Maligno AR, Silberschmidt VV (2010) Micro-scale numerical model of bovine cortical bone: analysis of plasticity localization. In: Proceedings of the ASME 2010: 10th Biennial conference on engineering systems design and analysis (ESDA2010), 12–14 July 2010, Istanbul, Turkey, vol. 1, ESDA2010-25329, pp 821–829
Abdel-Wahab AA, Alam K, Silberschmidt VV (2011) Analysis of anisotropic viscoelastoplastic properties of cortical bone tissues. J Mech Behav Biomed Mater 4(5):807–820
Ascenzi A, Benvenuti A (1986) Orientation of collagen fibers at the boundary between two successive osteonic lamellae and its mechanical interpretation. J Biomech 19(6):455–463
Behiri JC, Bonfield W (1989) Orientation dependence of the fracture mechanics of cortical bone. J Biomech 22(8–9):863–872
Bonfield W, Clark EA (1973) Elastic deformation of compact bone. J Mater Sci 8(11):1590–1594
Bonney H, Colston BJ, Goodman AM (2011) Regional variation in the mechanical properties of cortical bone from the porcine femur. Med Eng Phys 33(4):513–520
Boyce TM, Fyhrie DP, Glotkowski MC, Radin EL, Schaffler MB (1998) Damage type and strain mode associations in human compact bone bending fatigue. J Orthop Res 16(3):322–329
Budyn E, Hoc T (2007) Multiple scale modeling of cortical bone fracture in tension using X-FEM. Eur J Comput Mech 16:213–236
Carter DR, Hayes WC (1977) The compressive behavior of bone as a two-phase porous structure. J Bone Jt Surg 59(7):954–962
Chan KS, Nicolella DP (2012) Micromechanical modeling of R-curve behaviors in human cortical bone. J Mech Behav Biomed Mater 16:136–152
Currey JD (1988) The effect of porosity and mineral content on the Young’s modulus of elasticity of compact bone. J Biomech 21(2):131–139
Currey JD (1999) The design of mineralised hard tissues for their mechanical functions. J Exp Biol 202:3285–3294
Currey JD (2012) The structure and mechanics of bone. J Mater Sci 47(1):41–54
Currey JD (2013) Bones: structure and mechanics. Princeton University Press, Princeton
Ebacher V, Wang R (2008) A unique microcracking process associated with the inelastic deformation of Haversian bone. Calcif Tissue Int 19:57–66
Ethier CR, Simmons CA (2007) Introductory biomechanics: from cells to organisms. Cambridge Texts in Biomedical Engineering. Cambridge University Press, Cambridge
Fratzl P, Gupta HS, Paschalis EP, Roschger P (2004) Structure and mechanical quality of the collagen-mineral nano-composite in bone. J Mater Chem 14:2115–2123
Hamed E, Lee Y, Jasiuk I (2010) Multiscale modeling of elastic properties of cortical bone. Acta Mech 213(1–2):131–154
Katz JL, Yoon HS, Lipson S, Maharidge R, Meunier A, Christel P (1984) The effects of remodeling on the elastic properties of bone. Calcif Tissue Int 36:31–36
Launey ME, Buehler MJ, Ritchie RO (2010) On the mechanistic origins of toughness in bone. Annu Rev Mater Res 40:25–53
Li S, Abdel-Wahab A, Silberschmidt VV (2013a) Analysis of fracture processes in cortical bone tissue. Eng Fract Mech 110:448–458
Li S, Demirci E, Silberschmidt VV (2013b) Variability and anisotropy of mechanical behavior of cortical bone in tension and compression. J Mech Behav Biomed Mater 21:109–120
Li S, Abdel-Wahab A, Demirci E, Silberschmidt VV (2014) Penetration of cutting tool into cortical bone: experimental and numerical investigation of anisotropic mechanical behaviour. J Biomech 47(5):1117–1126
Liu D, Weiner S, Wagner HD (1999) Anisotropic mechanical properties of lamellar bone using miniature cantilever bending specimens. J Biomech 32(7):647–654
Martin RB, Boardman DL (1993) The effects of collagen fiber orientation, porosity, density, and mineralization on bovine cortical bone bending properties. J Biomech 26(9):1047–1054
Martin RB, Burr DB (1989) Structure, function, and adaptation of compact bone. Raven Press, New York
Mercer C, He MY, Wang R, Evans AG (2006) Mechanisms governing the inelastic deformation of cortical bone and application to Trabecular bone. Acta Biomater 2(1):59–68
Montalbano T, Feng G (2011) Nanoindentation characterization of the cement lines in ovine and bovine femurs. J Mater Res 26:1036–1041
Nalla RK, Kinney JH, Ritchie RO (2004a) On the origin of the toughness of mineralized tissue: microcracking or crack. Bone 34:790–798
Nalla RK, Kruzic JJ, Ritchie RO (2004b) On the origin of the toughness of mineralized tissue: microcracking or crack bridging? Bone 34(5):790–798
Nalla RK, Kruzic JJ, Kinney JH, Ritchie RO (2005a) Mechanistic aspects of fracture and R-curve behavior in human cortical bone. Biomaterials 26(2):217–231
Nalla RK, Stolken JS, Kinney JH, Ritchie RO (2005b) Fracture in human cortical bone: local fracture criteria and toughening mechanisms. J Biomech 38(7):1517–1525
Nyman JS, Leng H, Dong XN, Wang X (2009) Differences in the mechanical behavior of cortical bone between compression and tension when subjected to progressive loading. J Mech Behav Biomed Mater 2(6):613–619
Peterlik H, Roschger P, Klaushofer K, Fratzl P (2006) Orientation dependent fracture toughness of lamellar bone. Int J Fract 139(3–4):395–405
Reilly DT, Burstein AH (1975) The elastic and ultimate properties of compact bone tissue. J Biomech 8(6):393–405
Rho JY, Pharr GM (1999) Effects of drying on the mechanical properties of bovine femur measured by nanoindentation. J Mater Sci: Mater Med 10(8):485–488
Rho JY, Tsui TY, Pharr GM (1997) Elastic properties of human cortical and trabecular lamellar bone measured by nanoindentation. Biomaterials 18(20):1325–1330
Rho JY, Kuhn-Spearing L, Zioupos P (1998) Mechanical properties and the hierarchical structure of bone. Med Eng Phys 20(2):92–102
Ritchie RO, Kinney JH, Kruzic JJ, Nalla RK (2005) A fracture mechanics and mechanistic approach to the failure of cortical bone. Fatigue Fract Eng Mater Struct 28(4):345–371
Robertson DM, Robertson D, Barrett CR (1978) Fracture toughness, critical crack length and plastic zone size in bone. J Biomech 11(8–9):359–364
Roe SC, Pijanowski GJ, Johnson AL (1988) Biomechanical properties of canine cortical bone allografts: effects of preparation and storage. Am J Vet Res 49:978–986
Saha S, Hayes WC (1977) Relations between tensile impact properties and microstructure of compact bone. Calcif Tissue Res 24(1):65–72
Sevostianov I, Kachanov M (2000) Impact of the porous microstructure on the overall elastic properties of the osteonal cortical bone. J Biomech 33(7):881–888
Standard (1999) Fracture mechanics toughness tests. method for determination of \({K}_{Ic}\), critical CTOD and critical \({J}\) values of metallic materials. British Standard Institute, BS7448–BS7449
Systemes D (2012) Abaqus v6.12 documentation-ABAQUS analysis user’s manual. Inc 6.12 edn
Thompson JB, Kindt JH, Drake B, Hansma HG, Morse DE, Hansma PK (2001) Bone indentation recovery time correlates with bond reforming time. Nature 414:773–776
Ural A, Vashishth D (2006) Cohesive finite element modeling of age-related toughness loss in human cortical bone. J Biomech 39(16):2974–2982
Vashishth D, Tanner KE, Bonfield W (2003) Experimental validation of a microcracking-based toughening mechanism for cortical bone. J Biomech 36(1):121–124
Weiner S, Wagner HD (1998) The material bone: structure-mechanical function relations. Annu Rev Mater Sci 28:271–298
Yeni YN, Fyhrie DP (2003) A rate-dependent microcrack-bridging model that can explain the strain rate dependency of cortical bone apparent yield strength. J Biomech 36(9):1343–1353
Zimmermann EA, Schaible E, Bale H, Barth HD, Tang SY, Reichert P (2011) Age-related changes in the plasticity and toughness of human cortical bone at multiple length scales. Proc Natl Acad Sci 108:14,416–14,421
Zioupos P, Currey JD (1994) The extent of microcracking and the morphology of microcracks in damaged bone. J Mater Sci 29(4):978–986
Zioupos P, Wang XT, Currey JD (1996) The accumulation of fatigue microdamage in human cortical bone of two different ages in vitro. Clin Biomech 11(7):365–375
Acknowledgments
The authors acknowledge the financial support from EPSRC United Kingdom (Grant no. EP/G048886/1).
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Li, S., Abdel-Wahab, A., Demirci, E., Silberschmidt, V.V. (2015). Fracture of Cortical Bone Tissue. In: Altenbach, H., Brünig, M. (eds) Inelastic Behavior of Materials and Structures Under Monotonic and Cyclic Loading. Advanced Structured Materials, vol 57. Springer, Cham. https://doi.org/10.1007/978-3-319-14660-7_8
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