Publications

The effective equations for the ultrasonic response of wet cortical bone

Blaszczyk, M. and Pertsch Gilbert, R. and Hackl, K.

MATHEMATICAL METHODS IN THE APPLIED SCIENCES
Volume: 44 Pages: 9096-9109
DOI: 10.1002/mma.7337
Published: 2021

Abstract
We outline the mathematical model of the ultrasonic response of wet cortical bone and its time-harmonic formulation. We employ an energetic approach based on the Reuss bound of the free energy of a porous material consisting of a piezo-electric solid and a conducting fluid part. Magnetic effects are taken into consideration. Corresponding boundary value problems are stated, and associated theorems are established. A conclusion is included concerning future developments of this formulation. © 2021 John Wiley & Sons, Ltd.

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