Publication Cover
Applicable Analysis
An International Journal
Volume 100, 2021 - Issue 5
62
Views
3
CrossRef citations to date
0
Altmetric
Articles

Small-amplitude homogenization of elastic plate equation

&
Pages 1039-1050 | Received 03 Dec 2018, Accepted 17 Jun 2019, Published online: 29 Jun 2019
 

ABSTRACT

In this paper we explicitly calculate the first correction in the small-amplitude homogenization limit of a sequence of periodic tensors describing material properties in the Kirchhoff model for pure bending of a thin solid symmetric plate under a transverse load. We also discuss smooth dependence of H-limit on a parameter and calculate H-limit of a periodic sequence of tensors.

Mathematics Subject Classification 2010:

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work has been supported in part by Croatian Science Foundation (Hrvatska Zaklada za Znanost) under projects 9780 WeConMApp and 8904 Homdirestroptcm.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.