Journal of Engineering Mathematics

, Volume 86, Issue 1, pp 125–138 | Cite as

Semi-analytical solution of transient plane waves transmitted through a transversely isotropic poroelastic plate immersed in fluid



This paper provides a semi-analytical time-domain solution of the plane wave field propagating in an arbitrary direction through a transversely isotropic poroelastic plate immersed in fluid. Biot’s theory is employed for modeling the anisotropic porous medium. The proposed formulation could be used as an efficient tool for studying the influence of a material’s anisotropy on the behavior of a plane wave propagating in an arbitrary direction. Some numerical results of an in vitro ultrasonic through-transmission test on cancellous bone samples will be presented.


Anisotropic poroelasticity Biot’s model Cancellous bone Plane wave Semi-analytical solution 


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Copyright information

© Springer Science+Business Media Dordrecht 2013

Authors and Affiliations

  1. 1.Laboratoire Modélisation et Simulation Multi Echelle, MSME UMR 8208 CNRSUniversité Paris-EstCréteil CedexFrance

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