Transient Propagation of Longitudinal and Transverse Waves in Cancellous Bone: Application of Biot Theory and Fractional Calculus

In this paper, the influence of transverse wave on sound propagation in a porous medium with flexible structure is considered. The study carried out time domain using modified Biot theory obtained by symmetry Lagrangian (invariance translation and rotation). viscous exchanges between fluid are described fractional calculus. When pulse arrives at normal incidence material structure, waves interfere longitudinal during because interactions that appear structure. By performing calculation Laplace domain, reflection transmission operators derived. Their expressions depend Green functions waves. order to effects transmitted waves, numerical simulations varying characteristic parameters realized whether considered or not.