Quantitative ultrasound is used to characterize and stimulate osseointegration processes at the bone-implant interface (BII). However, the interaction between an ultrasonic wave and the implant remains poorly understood. This study aims at investigating the sensitivity of the ultrasonic response to the microscopic and macroscopic properties of the BII and to osseointegration processes. The reflection coefficient R of the BII was modeled for different frequencies using a two-dimensional finite element model. The implant surface roughness was modeled by a sinusoidal function with varying amplitude h and spatial frequency L. A soft tissue layer of thickness W was considered between bone tissue and the implant in order to model non-mineralized fibrous tissue. For microscopic roughness, R is shown to increase from around 0.55 until 0.9 when kW increases from 0 to 1 and to be constant for kW > 1, where k is the wavenumber in the implant. These results allow us to show that R depends on the properties of bone tissue located at a distance comprised between 1 and 25 μm from the implant surface. For macroscopic roughness, R is highly dependent on h and this dependence may be explained by phase cancellation and multiple scattering effects for high roughness parameters.
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July 2018
July 31 2018
Reflection of an ultrasonic wave on the bone-implant interface: A numerical study of the effect of the multiscale roughness
Yoann Hériveaux;
Yoann Hériveaux
CNRS, Laboratoire Modélisation et Simulation Multi Echelle
, MSME UMR 8208 CNRS, 61 avenue du Général de Gaulle, 94010 Créteil Cedex, France
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Vu-Hieu Nguyen;
Vu-Hieu Nguyen
Université Paris-Est, Laboratoire Modélisation et Simulation Multi Echelle
, MSME UMR, 8208 CNRS, 61 avenue du Général de Gaulle, 94010 Créteil Cedex, France
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Guillaume Haïat
Guillaume Haïat
a)
CNRS, Laboratoire Modélisation et Simulation Multi-Échelle
, MSME UMR 8208 CNRS, 61 avenue du Général de Gaulle, 94010 Créteil Cedex, France
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a)
Electronic mail: [email protected]
J. Acoust. Soc. Am. 144, 488–499 (2018)
Article history
Received:
February 12 2018
Accepted:
June 28 2018
Citation
Yoann Hériveaux, Vu-Hieu Nguyen, Guillaume Haïat; Reflection of an ultrasonic wave on the bone-implant interface: A numerical study of the effect of the multiscale roughness. J. Acoust. Soc. Am. 1 July 2018; 144 (1): 488–499. https://doi.org/10.1121/1.5046524
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