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Abstrakty
Morphological characteristics of the trabecular structure, identified by micro-tomography, can be quantified by volume fraction and second-order fabric tensors. These parameters have been proved to be related to bone structural properties but the formulations so far developed between volume fraction, fabric and elastic properties are bone specific and the coefficients found for one bone are not directly applicable to other bones. In this work, a general relationship was determined that links volume fraction and Mean Intercept Length (MIL) to the trabecular structure stiffness as computed by means of numerical models on which compression tests are simulated. Preliminary results obtained for three pig and two rat bone structures show that, for the pooled data set, the model could predict approximately 99% of the variation of the numerically computed elastic moduli.
Czasopismo
Rocznik
Tom
Strony
3--9
Opis fizyczny
Bibliogr. 26 poz., rys., tab.
Twórcy
autor
- Department of Mechanical Engineering, University of Trieste, Trieste, Italy, cosmi@units.it
Bibliografia
- [1] Van RIETBERGEN B., ODGAARD A., KABEL J., HUISKES R., Direct mechanics assessment of elastic symmetries and properties of trabecular bone architecture, J. Biomechanics, 1996, 29(12), 1653–1657.
- [2] HODGSKINSON R., CURREY J.D., The effect of variation In structure on the Young’s modulus of cancellous bone: a comparison of human and non-human material, Proc. Inst. Mech. Eng. [H], 1990, 204, 115–121.
- [3] TURNER C.H., COWIN S.C., RHO J.Y., ASHMAN R.B., RICE J.C., The fabric dependence of the orthotropic elastic constants of cancellous bone, J. Biomech., 1990, 23, 549–56.
- [4] GOULET R.W., GOLDSTEIN S.A., CIARELLI M.J., KUHN J.L., BROWN M.B., FELDKAMP L.A., The relationship between the structural and orthogonal compressive properties of trabecular bone, J. Biomech., 1994, 27, 375–389.
- [5] ODGAARD A., Three-dimensional methods for quantification of cancellous bone architecture, Bone, 1997, 4, 315–328.
- [6] UCHIYAMA T., TANIZAWA T., MURAMATSU H., ENDO N., TAKAHASHI H.E., HARA T., Three-dimensional microstructural analysis of human trabecular bone in relation to its mechanical properties, Bone, 1999, 25, 487–491.
- [7] 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., 1995, 28, 69–81.
- [8] Van RIETBERGEN B., WEINANS H., HUISKES R., POLMAN B.J.W., Computational strategies for iterative solutions of large FEM applications employing voxel data, Int. J. Numer Meth. Eng., 1996, 39, 2743–2767.
- [9] ULRICH D, Van RIETBERGEN B., LAIB A., RÜEGSEGGER P., The ability of three-dimensional structural indices to reflect mechanical aspects of trabecular bone, Bone, 1999, 25, 55–60.
- [10] COSMI F., DREOSSI D., Numerical and experimental structural analysis of trabecular architectures, Meccanica, 2007, 42, 85–93.
- [11] COSMI F., STEIMBERG N., DREOSSI D., MAZZOLENI G., Structural analysis of rat bone explants kept in vitro in simulated microgravity conditions, J. Mech. Behaviour of Biom. Mat., 2008, doi:10.1016/j.jmbbm.2008.06.004, in press.
- [12] COWIN S.C., The relationship between the elasticity tensor and the fabric tensor, Mech. Mat., 1985, 4, 137–147.
- [13] Van RIETBERGEN B., ODGAARD A., HUISKES R., Relationships between bone morphology and bone elastic properties can be accurately quantified using high-resolution computer reconstructions, J. Orth. Res., 1998, 16, 23–28.
- [14] KABEL J., Van RIETBERGEN B., ODGAARD A., HUISKES R., Constitutive relationships of fabric, density, and elastic properties in cancellous bone architecture, Bone, 1999, 25, 481–486.
- [15] KABEL J., Van RIETBERGEN B., DALSTRA M., ODGAARD A., HUISKES R., The role of an effective isotropic tissue modulus in the elastic properties of cancellous bone, J. Biomech., 1999, 32, 673–680.
- [16] HOMMINGA J., MCCREADIE B.R., WEINANS H., HUISKES R., The dependence of the elastic properties of osteoporotic cancellous bone on volume fraction and fabric, J. Biomech., 2003, 36, 1461–1467.
- [17] ZYSSET P.K., A review of morphology–elasticity relationships In human trabecular bone: theories and experiments, J. Biomech., 2003, 36, 1469–1485.
- [18] Van RUIJVEN L.J., GIESEN E.B.W., FARELLA M., van EIJDEN T.M.G.J., Prediction of mechanical properties of the cancellous bone of the mandibular condyle, J. Dent. Res., 2003, 82(10), 819–823.
- [19] KETCHAM R.A., RYAN T.M., Quantification and visualization of anisotropy in trabecular bone, J. Microscopy, 2004, 213, 158–171.
- [20] TONTI E., A direct discrete formulation of field laws: the Cell Method, CMES, Computer Modelling in Engineering & Sciences, 2001, 2, 237–258.
- [21] COSMI F., Di MARINO F., Modelling of the mechanical behaviour of porous materials: a new approach, Acta Bioeng. and Biomech., 2001, 3(2), 55–66.
- [22] COSMI F., Numerical solution of plane elasticity problems with the Cell Method, CMES, Computer Modeling in Engineering & Sciences, 2001, 2(3), 365–372.
- [23] COSMI F., Two-dimension estimate of effective properties of solid with random voids, Theor. Appl. Fract. Mech., 2004, 42(2), 183–186.
- [24] COSMI F., Elastodynamics with the Cell Method, CMES, Computer Modeling in Engineering & Sciences, 2005, 8(3), 191–200.
- [25] COSMI F., Dynamics analysis of mechanical components: a discrete model for damping, CMES, Computer Modeling in Engineering & Sciences, 2008, 27(3), 187–195.
- [26] COSMI F., HOGLIEVINA M., An application of the Cell Metod to multiaxial fatigue assessment of a test component under different criteria, Strain, 2008, DOI: 10.1111/j.1475-1305.2008.00555.x.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPBB-0001-0010