0
research-article

Generalized Spatial Aliasing Solution for the Dispersion Analysis of Infinitely Periodic Multilayered Composites Using the Finite Element Method

[+] Author and Article Information
A B M Tahidul Haque

Department of Civil, Structural and Environmental Engineering, University at Buffalo
abmtahid@buffalo.edu

Ratiba F. Ghachi

Department of Civil and Architectural Engineering, Qatar University
rg1408372@student.qu.edu.qa

Wael I. Alnahhal

Department of Civil and Architectural Engineering, Qatar University
wael.alnahhal@qu.edu.qa

Amjad Aref

Department of Civil, Structural and Environmental Engineering, University at Buffalo
aaref@buffalo.edu

Jongmin Shim

Department of Civil, Structural and Environmental Engineering, University at Buffalo
jshim@buffalo.edu

1Corresponding author.

ASME doi:10.1115/1.4036469 History: Received September 26, 2016; Revised March 28, 2017

Abstract

The finite element (FE) method offers an efficient framework to investigate the evolution of phononic crystals which possess materials or geometric nonlinearity subject to external loading. Despite its superior efficiency, the FE method suffers from spectral distortions in the dispersion analysis of waves perpendicular to the layers in infinitely periodic multilayered composites. In this study, the analytical dispersion relation for sagittal elastic waves is re-formulated in a substantially concise form, and it is employed to reproduce spatial aliasing-induced spectral distortions in FE dispersion relations. Furthermore, through an anti-aliasing condition and the effective elastic modulus theory, a FE modeling general guideline is provided to overcome the observed spectral distortions in FE dispersion relations of infinitely periodic multilayered composites and its validity is also demonstrated.

Copyright (c) 2017 by ASME
Your Session has timed out. Please sign back in to continue.

References

Figures

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In