dorsal/arxiv
View SchemaAn alternative ultrasonic method for measuring the elastic properties of cortical bone
| Authors | Martine Pithioux, P. Lasaygues, P. Chabrand |
|---|---|
| Categories | |
| ArXiv ID | physics/0509113 |
| URL | https://arxiv.org/abs/physics/0509113 |
| Journal | Journal of Biomechanics 35 (2002) 961-968 |
Abstract
We studied the elastic properties of bone to analyze its mechanical behavior. The basic principles of ultrasonic methods are now well established for varying isotropic media, particularly in the field of biomedical engineering. However, little progress has been made in its application to anisotropic materials. This is largely due to the complex nature of wave propagation in these media. In the present study, the theory of elastic waves is essential because it relates the elastic moduli of a material to the velocity of propagation of these waves along arbitrary directions in a solid. Transducers are generally placed in contact with the samples which are often cubes with parallel faces that are difficult to prepare. The ultrasonic method used here is original, a rough preparation of the bone is sufficient and the sample is in rotation. Moreover, to analyze heterogeneity of the structure we measure velocities in different points on the sample. The aim of the present study was to determine in vitro the anisotropic elastic properties of cortical bones. For this purpose, our method allowed measuring longitudinal and transversal velocities (CL and CT) in longitudinal (fiber direction) and radial directions (orthogonal to the fiber direction) of compact bones. Young's modulus E and Poisson's ratio , were then deduced from the velocities measured considering the compact bone as transversely isotropic or orthotropic. The results are in line with those of other methods.
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"abstract": "We studied the elastic properties of bone to analyze its mechanical behavior.\nThe basic principles of ultrasonic methods are now well established for varying\nisotropic media, particularly in the field of biomedical engineering. However,\nlittle progress has been made in its application to anisotropic materials. This\nis largely due to the complex nature of wave propagation in these media. In the\npresent study, the theory of elastic waves is essential because it relates the\nelastic moduli of a material to the velocity of propagation of these waves\nalong arbitrary directions in a solid. Transducers are generally placed in\ncontact with the samples which are often cubes with parallel faces that are\ndifficult to prepare. The ultrasonic method used here is original, a rough\npreparation of the bone is sufficient and the sample is in rotation. Moreover,\nto analyze heterogeneity of the structure we measure velocities in different\npoints on the sample. The aim of the present study was to determine in vitro\nthe anisotropic elastic properties of cortical bones. For this purpose, our\nmethod allowed measuring longitudinal and transversal velocities (CL and CT) in\nlongitudinal (fiber direction) and radial directions (orthogonal to the fiber\ndirection) of compact bones. Young\u0027s modulus E and Poisson\u0027s ratio \u0026#61550;,\nwere then deduced from the velocities measured considering the compact bone as\ntransversely isotropic or orthotropic. The results are in line with those of\nother methods.",
"arxiv_id": "physics/0509113",
"authors": [
"Martine Pithioux",
"P. Lasaygues",
"P. Chabrand"
],
"categories": [
"physics.class-ph",
"physics.bio-ph"
],
"journal_ref": "Journal of Biomechanics 35 (2002) 961-968",
"title": "An alternative ultrasonic method for measuring the elastic properties of cortical bone",
"url": "https://arxiv.org/abs/physics/0509113"
},
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