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The effective Equations for the Ultrasonic Response of Wet Cortical Bone
  • Mischa Blaszczyk,
  • Robert Gilbert,
  • Klaus Hackl
Mischa Blaszczyk
Ruhr-University Bochum Faculty for Mechanical Engineering
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Robert Gilbert
University of Delaware
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Klaus Hackl
Ruhr-University Bochum Faculty for Mechanical Engineering
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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 established. A conclusion is included concerning future developments of this formulation.} \keywords{wet bone, ultrasonic response, Maxwell equations}

Peer review status:ACCEPTED

19 Nov 2020Submitted to Mathematical Methods in the Applied Sciences
23 Nov 2020Assigned to Editor
23 Nov 2020Submission Checks Completed
28 Nov 2020Reviewer(s) Assigned
28 Nov 2020Review(s) Completed, Editorial Evaluation Pending
23 Jan 2021Editorial Decision: Accept