Transfer functions for a one-dimensional fluid–poroelastic system subject to an ultrasonic pulse

• Published in: Nonlinear analysis: real world applications Vol. 13; no. 3; pp. 1030 - 1043
• Main Authors: Buchanan, James L., Gilbert, Robert P., Ou, Miao-jung
• Format: Journal Article
• Language: English
• Published: Elsevier Ltd 01.06.2012
• Subjects: Biot’s equations; Bones; Discretization; Fast Fourier transforms; In vitro testing; Laplace transforms; Mathematical models; Numerical methods; Poroelastic materials; Series expansion; Tortuosity; Transfer functions; Fast Fourier transforms; Laplace transforms; Poroelastic materials; Numerical methods; Biot’s equations

A one-dimensional model of an in vitro experiment, in which a specimen of cancellous bone is immersed in water and insonified by an ultrasonic pulse, is considered. The modification of the poroelastic model of Biot due to Johnson et al. [D.L. Johnson, J. Koplik, R. Dashen, Theory of dynamic permeabi...