Author
Listed:
- Lenser A. Aghalovyan
(Institute of Mechanics, National Academy of Sciences of the Republic of Armenia, Yerevan 0019, Armenia
These authors contributed equally to this work.)
- Lusine G. Ghulghazaryan
(Institute of Mechanics, National Academy of Sciences of the Republic of Armenia, Yerevan 0019, Armenia
Faculty of Mathematics, Physics and Informatics, Department of Mathematics and its Teaching Methods, Armenian State Pedagogical University after Khachatur Abovyan, Abovyan 0010, Armenia
These authors contributed equally to this work.)
- Julius Kaplunov
(School of Computer Science and Mathematics, Keele University, Keele, Staffordshire ST5 5BG, UK
These authors contributed equally to this work.)
- Danila Prikazchikov
(School of Computer Science and Mathematics, Keele University, Keele, Staffordshire ST5 5BG, UK
These authors contributed equally to this work.)
Abstract
The effect of high contrast on the multiscale behaviour of elastic laminates is studied. Mathematical modelling in this area is of significant interest for a variety of modern applications, including but not limited to advanced sandwich structures and photovoltaic panels. As an example, the antiplane shear of a symmetric, three-layered plate is considered. The problem parameters expressing relative thickness, stiffness and density are assumed to be independent. The high contrast may generally support extra length and time scales corresponding to degenerated boundary layers and propagating long-wave low-frequency vibration modes. The main focus is on the relation between these two phenomena. The developed multiparametric approach demonstrates that those do not always appear simultaneously. The associated explicit estimates on contrast parameters are established. In addition, the recent asymptotic extension of the classical Saint-Venant’s principle is adapted for calculating the contribution of the degenerate boundary layer or long-wave low-frequency propagation mode. The peculiarity of the limiting absorption principle in application to layered media is also addressed.
Suggested Citation
Lenser A. Aghalovyan & Lusine G. Ghulghazaryan & Julius Kaplunov & Danila Prikazchikov, 2023.
"Degenerated Boundary Layers and Long-Wave Low-Frequency Motion in High-Contrast Elastic Laminates,"
Mathematics, MDPI, vol. 11(18), pages 1-11, September.
Handle:
RePEc:gam:jmathe:v:11:y:2023:i:18:p:3905-:d:1239519
Download full text from publisher
Corrections
All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:gam:jmathe:v:11:y:2023:i:18:p:3905-:d:1239519. See general information about how to correct material in RePEc.
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
We have no bibliographic references for this item. You can help adding them by using this form .
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .
Please note that corrections may take a couple of weeks to filter through
the various RePEc services.