Simplified Timoshenko-Ehrenfest beam equation to analyze metamaterials

Authors

• Isaac Elishakoff, Florida Atlantic University
• Yuchen Li, Florida Atlantic University
• Noël Challamel, Université de Bretagne-Sud
• J. N. Reddy, College of Engineering

Author Type

Faculty

Co-Author Type 1

Faculty

Co-Author Type 2

Outside Researcher

Co-Author Type 3

Outside Researcher

College

Engineering and Computer Science

Department

Ocean and Mechanical Engineering

Document Type

Article

Publication/Event/Conference Title

Journal of Applied Physics

Publication Status

Version of Record

Abstract

This paper is devoted to the incorporation of rotary inertia and shear deformation in the study of acoustic metamaterials. An overwhelming majority of investigators resort to either Bernoulli-Euler or to the Timoshenko-Ehrenfest beam theories. Here, we demonstrate that the full version of the Timoshenko-Ehrenfest beam theory is not needed, and the truncated version is sufficient. An extensive numerical investigation is conducted to this end.

DOI

10.1063/5.0077001

Publication Date

3-14-2022

Recommended Citation

Elishakoff, Isaac; Li, Yuchen; Challamel, Noël; and Reddy, J. N., "Simplified Timoshenko-Ehrenfest beam equation to analyze metamaterials" (2022). Faculty Scholarship. 201.
https://digitalcommons.fau.edu/faculty_papers/201