The Biot Model for Anisotropic Poro-Elastic Media: The Viscoelastic Fluid Case-Reference-Cited by-同舟云学术

The Biot Model for Anisotropic Poro-Elastic Media: The Viscoelastic Fluid Case

Published:2017-09 Issue:03 Volume:25 Page:1750012
ISSN:0218-396X
Container-title:Journal of Computational Acoustics
language:en
Short-container-title:J. Comp. Acous.

Author:

Gilbert Robert P.¹²^ORCID,Shoushani Michael³

Affiliation:

1. Department of Mathematical Sciences, University of Delaware, New York, USA

2. Institute of Mechanics of Materials, Ruhr-Universitaet Bochum, Germany

3. Department of Mathematics, Western Connecticut State University, Danbury, CT 06810, USA

Abstract

We show that an existence theorem for the completely anisotropic, time-harmonic poro-elastic boundary value problem can be established for the linear anisotropic Biot equations. Using the existence of these solutions, we present a scheme for solving the quasi-linear system for a nonlinear fluid–fluid viscosity such as the Carreau type.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Acoustics and Ultrasonics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218396X17500126

Reference22 articles.

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2. Theory of Propagation of Elastic Waves in a Fluid‐Saturated Porous Solid. I. Low‐Frequency Range

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4. DETERMINATION OF THE PARAMETERS OF CANCELLOUS BONE USING LOW FREQUENCY ACOUSTIC MEASUREMENTS

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