Experimental determination of elastic coefficients of dry bovine bone

Tomáš Goldmann, Hanuš Seiner, Michal Landa


The elastic properties of single parts of a human skeleton are necessary to know for modelling bone tissue-implants interactions as well as for diagnostic purposes. This paper contributes to methodology of evaluation of elastic properties of bones by ultrasonic wave inversion. The method was developed on composite structures like as plates and cylindrical shells. The final results are then demonstrated on the bovine cortical bone specimen.

The properties are supposed to exhibit orthotropic or transversally isotropic symmetry. The quasi-longitudinal and transverse waves are generated from wave diffraction on liquid/specimen interface. The wave velocity fields obtained by the ultrasonic scanning technique are used as an input to inversion procedure for all
elastic constants determination.

The experimental results are confronted with the numerical modelling of wave propagation and the stability of resulting data is evaluated by the statistical method based on Monte-Carlo simulation. The suggested approach has a potential for qualify of such measurements performed on fresh bones and also for
improvement in-situ ultrasonic techniques.


Matrix of elastic coefficients, Ultrasonic immersion technique, Inverse problem, Monte-Carlo simmulation

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ISSN 1801-1217 (Print)
ISSN 1805-9422 (Online)
Published by the Czech Technical University in Prague, Faculty of Mechanical Engineering