Multiple scattering in a trabecular bone: Influence of the marrow viscosity on the effective properties

2003 ◽  
Vol 113 (5) ◽  
pp. 2889-2892 ◽  
Author(s):  
Francine Luppé ◽  
Jean-Marc Conoir ◽  
Hervé Franklin
Keyword(s):  
Trabecular Bone ◽  
Multiple Scattering ◽  
Effective Properties

Modeling of "anomalous" velocity dispersion in trabecular bone: effect of multiple scattering and of viscous absorption

2008 ◽  
Vol 123 (5) ◽  
pp. 3512-3512 ◽  
Author(s):  
Guillaume Haiat ◽  
Alain Lhémery ◽  
Frederic Padilla ◽  
Pascal Laugier ◽  
Salah Naili
Keyword(s):  
Trabecular Bone ◽  
Multiple Scattering ◽  
Velocity Dispersion ◽  
Bone Effect ◽  
Anomalous Velocity

Dynamic Effective Properties of Particle-Reinforced Composites with Imperfect Interface

2011 ◽  
Vol 194-196 ◽  
pp. 1793-1802
Author(s):  
Xi Qiang Liu ◽  
Pei Jun Wei ◽  
Li Wang ◽  
Gui Zhang
Keyword(s):  
Multiple Scattering ◽  
Effective Properties ◽  
Displacement Vector ◽  
Expansion Method ◽  
Scattered Wave ◽  
Imperfect Interface ◽  
Spherical Particles ◽  
Effective Velocity ◽  
Al Composite ◽  
Interface Parameters

Elastic wave scattering of single spherical particle and the multiple scattering in particle-reinforced composite with imperfect interfaces are studied by the use of wave function expansion method. Four typical interfaces are obtained by appropriate selection of spring constants in the classical spring interface model, i.e. perfect interface, slide interface, rough interface and unbonded interface. The jump and continuous conditions of displacement vector and traction vector are used to derive the equation which the unknown expansion coefficients of the scattered wave field satisfy. Furthermore, the multiple scattering in composite reinforced by random distributed spherical particles is investigated. The effective velocity and attenuation of coherent waves and the dynamic effective moduli of composites are evaluated. The numerical simulation is performed for the SiC-Al composite. The influences of interface parameters on the scattering cross section, the effective velocity, the effective attenuation and the effective elastic moduli are discussed.

Velocity dispersion in trabecular bone: Influence of multiple scattering and of absorption

2008 ◽  
Vol 124 (6) ◽  
pp. 4047-4058 ◽  
Author(s):  
G. Haïat ◽  
A. Lhémery ◽  
F. Renaud ◽  
F. Padilla ◽  
P. Laugier ◽  
...  
Keyword(s):  
Trabecular Bone ◽  
Multiple Scattering ◽  
Velocity Dispersion
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