Animal bones bear varied impact loadings during in the movements of animals. The impact resistance and micro-damage of bones are influenced by their various microstructures at different length scales. In this paper, according to the microstructure of osteon, three 2-D microstructure models (circumferential ellipse lacunae (Model A), radial elliptical lacunae (Model B) and circular lacunae (Model C) were constructed for investigating the influences of the arranged direction and shape of osteocyte lacunae on resisting impact and micro-damage. Impact analytical results show that the maximal stress of the Model A is the minimum and that of the Model B is the maximal under same boundary conditions, which indicates that the circumferentially elliptical lacunae, whose minor axis is along the radial direction of the osteon (Model A), can enhance impact resistance of osteons effectively. The investigated results of the progressive damage show that the circumferentially ellipse lacunae (Model A) are more benefit to resist micro-damage and that the micro-cracks in the model are mainly along the circumferential direction of the osteon. These investigated results for the novel microstructures found in osteon can serve engineers as guidance in the designs of biomimetic and bioinspired tubular structures or materials for engineering applications.
Impact Velocity Circumferential Direction Bone Sample Nanoindentation Test Progressive Damage
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This work was supported by the Natural Science Foundation of China (grant number 11272367).
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The authors declare no Conflict of interest.
Akiva U, Wagner HD, Weiner S. Modelling the three-dimensional elastic constants of parallel-fibred and lamellar bone. J Mater Sci. 1998;33:1497–1509.CrossRefGoogle Scholar
Landis WJ. The strength of a calcified tissue depends in part on themolecular-structure and organization of its constituent mineral crystals in their organic matrix. Bone. 1995;16:533–44.CrossRefGoogle Scholar
Weiner S, Wagner HD. The material bone: structure-mechanical function relations. Annu Rev Mater Sci. 1998;28:271–98.CrossRefGoogle Scholar
Wegst UGK, Ashby MF. The mechanical efficiency of natural materials. Phil Mag. 2007;84:2167–86.CrossRefGoogle Scholar
Olszta MJ, Cheng X, Jee SS, et al. Bone structure and formation: a new perspective. Mater Sci Eng R Rep. 2007;58:77–116.CrossRefGoogle Scholar
Elham H, Yikhan L, Iwona J. Multiscale modeling of elastic properties of cortical bone. Acta Mech. 2010;213:131–54.CrossRefGoogle Scholar
Taylor D, Hazenberg JG, Lee TC. Living with cracks: damage and repair in human bone. Nat Mater. 2007;6:263–8.CrossRefGoogle Scholar
Ritchie RO, Kinney JH, Kruzic JJ, Nalla RK. A fracture mechanics and mechanistic approach to the failure of cortical bone. Fatigue Fract Eng Mater Struct. 2005;28:345–71.CrossRefGoogle Scholar
Nalla RK, Stölken JS, Kinney JH, Ritchie RO. Fracture in human cortical bone: local fracture criteria and toughening mechanisms. J Biomech. 2005;38(7):1517–25.CrossRefGoogle Scholar
Ryan S, Williams J. Tensile testing of rodlike trabeculae excised from bovine femoral bone. J Biomech. 1989;22:351–55.CrossRefGoogle Scholar
Rho J, Ashman R, Turner C. Young’s modulus of trabecular and cortical bone material: ultrasonic and microtensile measurements. J Biomech. 1993;26:111–9.CrossRefGoogle Scholar
McNamara LM, Ederveen AGH, Lyons CG, et al. Strength of cancellous bone trabecular tissue from normal, ovariectomized and drug-treated rats over the course of ageing. Bone. 2006;39:392–400.CrossRefGoogle Scholar
Rho JY, Roy ME, Tsui TY, Pharr GM. Elastic properties of microstructural components of human bone tissue as measured by nanoindentation. J Biomed Mater Res. 1999;45:48–54.CrossRefGoogle Scholar
Ferguson V, Bushby A, Boyde A. Nanomechanical properties and mineral concentration in articular calcified cartilage and subchondral bone. J Anat. 2003;203:191–202.CrossRefGoogle Scholar
Ozcivici E, Ferreri S, Qin Y, Judex S. Determination of bone’s mechanical matrix properties by nanoindentation. Methods Mol Biol. 2008;455:323–34.CrossRefGoogle Scholar
Ascenzi A, Bonucci E, Simkin A. An approach to the mechanical properties of single osteonic lamellae. J Biomech. 1973;6:227–35.CrossRefGoogle Scholar
Nalla RK, Kinney JH, Ritchie RO. Mechanistic fracture criteria for the failure of human cortical bone. Nat Mater. 2003;2:164–8.CrossRefGoogle Scholar
Ebacher V, Guy P, Oxland TR, Wang R. Sub-lamellar microcracking and roles of canaliculi in human cortical bone. Acta Biomater. 2012;8:1093–1100.CrossRefGoogle Scholar
Eugenio G, Camila A, Ana V, et al. Numerical modelling of the mechanical behaviour of an osteon with microcracks. J Mech Behav. 2014;37:109–24.CrossRefGoogle Scholar
Reilly GC. Observations of microdamage around osteocyte lacunae in bone. J Biomech. 2000;33:1131–4.CrossRefGoogle Scholar
Mccreadie BR, Hollister SJ, Schaffler MB, Goldstein SA. Osteocyte lacuna size and shape in women with and without osteporotic fracture. J Biomech. 2004;37:563–72.CrossRefGoogle Scholar
Liang F, Michael C, Jeffrey S, et al. Mechanical properties of porcine femoral cortical bone measured by nanoindentation. J Biomech. 2012;45:1775–82.CrossRefGoogle Scholar
Adharapurapu RR, Jiang F, Vecchio KS. Dynamic fracture of bovine bone. Mat Sci Eng C. 2006;26:1325–32.CrossRefGoogle Scholar
Oliver WC, Pharr GM. An improved technique for determining hardness and elastic modulus using load and displacement sensing indentation experiments. J Mater Res Soc. 1992;7:1564–83.CrossRefGoogle Scholar
Weiner S, Arad T, Traub W. Crystal organization in rat bone lamellae. FEBS Lett. 1991;285:49–54.CrossRefGoogle Scholar