Journal
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
Volume 44, Issue 11, Pages 9096-9109Publisher
WILEY
DOI: 10.1002/mma.7337
Keywords
Maxwell equations; ultrasonic response; wet bone
Categories
Funding
- Mathematisches Forschungsinstitut Oberwolfach
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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.
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.
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