Vol. 14, No. 2, 2019

Download this article
Download this article For screen
For printing
Recent Issues

Volume 19
Issue 4, 541–572
Issue 3, 303–540
Issue 2, 157–302
Issue 1, 1–156

Volume 18, 5 issues

Volume 17, 5 issues

Volume 16, 5 issues

Volume 15, 5 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 5 issues

Volume 10, 5 issues

Volume 9, 5 issues

Volume 8, 8 issues

Volume 7, 10 issues

Volume 6, 9 issues

Volume 5, 6 issues

Volume 4, 10 issues

Volume 3, 10 issues

Volume 2, 10 issues

Volume 1, 8 issues

The Journal
About the journal
Ethics and policies
Peer-review process
Submission guidelines
Submission form
Editorial board
ISSN (electronic): 1559-3959
ISSN (print): 1559-3959
Author index
To appear
Other MSP journals
This article is available for purchase or by subscription. See below.
Elastic wave propagation in a periodic composite plate structure: band gaps incorporating microstructure, surface energy and foundation effects

Gongye Zhang and Xin-Lin Gao

Vol. 14 (2019), No. 2, 219–236

A new model for predicting band gaps for flexural elastic wave propagation in a periodic composite plate structure is developed using a non-classical Kirchhoff plate model that is based on a modified couple stress theory, a surface elasticity theory and a two-parameter Winkler–Pasternak elastic foundation model. The formulation is based on the plane wave expansion method and Bloch’s theorem. The current non-classical model simultaneously incorporates microstructure, surface energy and foundation effects, unlike existing models. When the microstructure and surface energy effects are both suppressed, the new model reduces to the classical elasticity-based model. The band gaps predicted by the newly developed model vary with the microstructure-dependent length scale parameters, the surface elastic constants, the elastic foundation moduli, the unit cell size, and the volume fraction. The numerical results reveal that the first band gap including the foundation effect is always smaller than that without considering the foundation effect, and the first foundation band gap size increases with the increase of the elastic foundation moduli. Also, the first band gap predicted by the new non-classical model is always larger than that predicted by the classical model, but the difference is diminishing as the plate thickness increases. In addition, it is found that the sizes of the first band gap and the first foundation band gap decrease with the increase of the unit cell length at different length scales. Furthermore, it is seen that the volume fraction has a significant effect on the sizes of the first band gap and the first foundation band gap, and band gaps can be tailored by adjusting the volume fraction as well as the constituent properties.

PDF Access Denied

We have not been able to recognize your IP address as that of a subscriber to this journal.
Online access to the content of recent issues is by subscription, or purchase of single articles.

Please contact your institution's librarian suggesting a subscription, for example by using our journal-recom­mendation form. Or, visit our subscription page for instructions on purchasing a subscription.

You may also contact us at contact@msp.org
or by using our contact form.

Or, you may purchase this single article for USD 45.00:

band gaps, wave propagation, Kirchhoff plate, couple stress, surface elasticity, elastic foundation, plane wave expansion method, Bloch theorem, size effect
Received: 20 October 2018
Accepted: 25 December 2018
Published: 29 May 2019
Gongye Zhang
Jiangsu Key Laboratory of Engineering Mechanics
School of Civil Engineering
Southeast University
Nanjing, Jiangsu
Xin-Lin Gao
Department of Mechanical Engineering
Southern Methodist University
Dallas, TX
United States