The effective equations for the ultrasonic response of wet cortical bone

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.

Automated summary

This paper outlines the mathematical model and time-harmonic formulation of the ultrasonic response of wet cortical bone, employing an energetic approach based on the Reuss bound. Magnetic effects are taken into consideration, with corresponding boundary value problems and theorems established. The conclusion includes future developments of this formulation.