TITLE

Improving the Estimate of the Effective Elastic Modulus Derived from Three-Point Bending Tests of Long Bones

AUTHOR(S)
Kourtis, Lampros; Carter, Dennis; Beaupre, Gary
PUB. DATE
August 2014
SOURCE
Annals of Biomedical Engineering;Aug2014, Vol. 42 Issue 8, p1773
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
Three-point bending tests are often used to determine the apparent or effective elastic modulus of long bones. The use of beam theory equations to interpret such tests can result in a substantial underestimation of the true effective modulus. In this study three-dimensional, nonlinear finite element analysis is used to quantify the errors inherent in beam theory and to create plots that can be used to correct the elastic modulus calculated from beam theory. Correction plots are generated for long bones representative of a variety of species commonly used in research studies. For a long bone with dimensions comparable to the mouse femur, the majority of the error in the effective elastic modulus results from deformations to the bone cross section that are not accounted for in the equations from beam theory. In some cases, the effective modulus calculated from beam theory can be less than one-third of the true effective modulus. Errors are larger: (1) for bones having short spans relative to bone length; (2) for bones with thin vs. thick cortices relative to periosteal diameter; and (3) when using a small radius or 'knife-edge' geometry for the center loading ram and the outer supports in the three-point testing system. The use of these correction plots will enable researchers to compare results for long bones from different animal strains and to compare results obtained using testing systems that differ with regard to length between the outer supports and the radius used for the loading ram and outer supports.
ACCESSION #
97012801

 

Related Articles

  • A COMPARISON OF THE PERFORMANCE OF HEXAHEDRAL AND TETRAHEDRAL ELEMENTS IN BONE-SOFT TISSUE FINITE ELEMENT MODELS. Tadepalli, Srinivas C.; Erdemir, Ahmet; Sett, Subham; Cavanagh, Peter R. // Conference Proceedings of the Annual Meeting of the American Soc;2010, p551 

    The article discusses a study on the different types of meshes that can be used to model the interaction of a bone-soft tissue construct in contact with the rigid surface under compressive and shear loading. It cites the use of a simplified geometric representation of a bone-soft tissue...

  • Comment to paper “Penetration depth and tip radius dependence on the correction factor in nanoindentation measurements” by J.M. Meza et al. [J. Mater. Res. 23(3), 725 (2008)]. Durst, Karsten; Rehman, Hamad ur; Merle, Benoit // Journal of Materials Research;2012, Vol. 27 Issue 8, p1205 

    [Meza et al. J. Mater. Res.23(3), 725 (2008)] recently claimed that the correction factor beta for the Sneddon equation, used for the evaluation of nanoindentation load-displacement data, is strongly depth- and tip-shape-dependent. Meza et al. used finite element (FE) analysis to simulate the...

  • On the validity regime of the bulge equations. Neggers, Jan; Hoefnagels, Johan P.M.; Geers, Marc G.D. // Journal of Materials Research;2012, Vol. 27 Issue 9, p1245 

    The plane strain bulge test technique is a powerful and acknowledged technique for characterizing the mechanical behavior of thin films. In a bulge test analysis, the stress and strain are derived from the measured quantities using analytical approximations of the deformed geometry (bulge...

  • A new generalized model for elliptical arc flexure hinges. Chen, Guimin; Shao, Xiaodong; Huang, Xinbo // Review of Scientific Instruments;Sep2008, Vol. 79 Issue 9, p095103 

    Flexure hinges have been used in many engineering areas where high precision and sensitivity are required. Many kinds of flexure profiles were proposed during the past decade. Therefore, a general closed-form solution for flexure hinges of different profiles that incorporates the profile...

  • Fast Stiffness Matrix Calculation for Nonlinear Finite Element Method. Gülümser, Emir; Güdükbay, Uğur; Filiz, Sinan // Journal of Applied Mathematics;2014, p1 

    We propose a fast stiffness matrix calculation technique for nonlinear finite element method (FEM). Nonlinear stiffness matrices are constructed usingGreen-Lagrange strains, which are derived from infinitesimal strains by adding the nonlinear terms discarded from small deformations. We...

  • IDENTIFICATION OF A COMPUTATIONALLY EFFICIENT NUMERICAL MODEL FOR HONEYCOMBS USING A MULTI-OBJECTIVE TAGUCHI OPTIMIZATION PROCESS. Amine, S.; Milani, A. S.; Nemes, J. A. // International Journal of Modelling & Simulation;2009, Vol. 29 Issue 2, p169 

    Due to their high specific strength and stiffness, honeycomb sandwich structures are used in impact-resistance applications. Their structural efficiency depends to a great extent on the lightweight core separating the face sheets and providing overall high stiff- ness. Detailed finite element...

  • Electric field distribution within a metallic cylindrical specimen for the case of an ideal two-probe impedance measurement. Kelekanjeri, V. Siva Kumar G.; Gerhardt, Rosario A. // Journal of Applied Physics;2/15/2007, Vol. 101 Issue 4, p044904 

    A closed form analytical solution for the electric field distribution inside a metallic cylindrical disk specimen has been derived for the problem of a two-probe impedance measurement. A two-probe impedance measurement can be treated as current injection and extraction by means of source and...

  • Evaluation of an Improved Technique for Geosynthetic-Reinforced and Pile-Supported Embankment. Zhang, Jun; Liu, Shao-wen; Pu, He-fu // Advances in Materials Science & Engineering;10/4/2015, Vol. 2015, p1 

    With a large number of applications of conventional technique for geosynthetic-reinforced and pile-supported (GRPS) embankment (called CT embankment), many deficiencies have been exposed. In view of the deficiencies, an improved technique, fixed-geosynthetic-reinforced and pile-supported...

  • Computation of elastic properties of 3D digital cores from the Longmaxi shale. Zhang, Wen-Hui; Fu, Li-Yun; Zhang, Yan; Jin, Wei-Jun // Applied Geophysics: Bulletin of Chinese Geophysical Society;Jun2016, Vol. 13 Issue 2, p364 

    The dependence of elastic moduli of shales on the mineralogy and microstructure of shales is important for the prediction of sweet spots and shale gas production. Based on 3D digital images of the microstructure of Longmaxi black shale samples using X-ray CT, we built detailed 3D digital images...

Share

Read the Article

Courtesy of THE LIBRARY OF VIRGINIA

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics