Paper Info
Title
Theoretical Study Of Bone'S Microstructural Effects On Rayleigh Wave Propagation
Abstract
The linear theory of classical elasticity cannot effectively describe bone's mechanical behavior since only homogeneous media and local stresses are assumed. Additionally, it cannot predict the dispersive nature of Rayleigh wave which has been experimental observed. By adopting Mindlin Form II gradient elastic theory and performing Boundary Element (BEM) simulations we also recently demonstrated Rayleigh dispersion. In this work we use this theory to analytically determine the dispersion of Rayleigh wave. We assume an isotropic semi-infinite space with mechanical properties equal to those of bone and microstructure and microstructural effects. Calculations are performed for various combinations between the internal constants l(1), l(2), h(1), h(2) which corresponded to a) values from closed form relations derived from a realistic model and b) values close to the osteon's size. Comparisons are made with the corresponding computational results as well as with the classical elastic case. The agreement between the computational and the analytical results was perfect demonstrating the effectiveness of Mindlin's Form II gradient theory of elasticity to predict the dispersive nature of Rayleigh wave. This study could be regarded as a step towards the ultrasonic characterization of bone.
Year
DOI
Venue
2012
10.1109/EMBC.2012.6346566
2012 ANNUAL INTERNATIONAL CONFERENCE OF THE IEEE ENGINEERING IN MEDICINE AND BIOLOGY SOCIETY (EMBC)
Keywords
Field
DocType
rayleigh waves,elasticity,biomechanics,bioacoustics
Rayleigh scattering,Dispersion (optics),Isotropy,Rayleigh wave,Linear system,Mathematical analysis,Computer science,Osteon,Electronic engineering,Boundary element method,Acoustics,Elasticity (economics)
Conference
Volume
ISSN
Citations 
2012
1557-170X
0
PageRank 
References 
Authors
0.34
0
6
Name
Order
Citations
PageRank
Maria G Vavva102.03
Leonidas N Gergidis200.68
Antonis Charalambopoulos300.34
Vasilios C Protopappas432.10
Demosthenes Polyzos572.78
Dimitrios I Fotiadis64914.82