Universität zu Köln

Nazarov, Sergey A., Stylianou, Athanasios ORCID: 0000-0001-7863-4028 and Sweers, Guido ORCID: 0000-0003-0180-5890 (2012). Hinged and supported plates with corners. Z. Angew. Math. Phys., 63 (5). S. 929 - 961. CHAM: SPRINGER INTERNATIONAL PUBLISHING AG. ISSN 1420-9039

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Abstract

We consider the Kirchhoff-Love model for the supported plate, that is, the fourth-order differential equation Delta(2) u = f with appropriate boundary conditions. Due to the expectation that a downwardly directed force f will imply that the plate, which is supported at its boundary, touches that support everywhere, one commonly identifies those boundary conditions with the ones for the so-called hinged plate: u = 0 = Delta u - (1 - sigma ) kappa u (n) . Structural engineers however are usually aware that rectangular roofs tend to bend upwards near the corners, and this would mean that u = 0 is not appropriate. We will confirm this behavior and show the difference of the supported and the hinged plates in case of domains with corners.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Nazarov, Sergey A. UNSPECIFIED UNSPECIFIED UNSPECIFIED Stylianou, Athanasios UNSPECIFIED orcid.org/0000-0001-7863-4028 UNSPECIFIED Sweers, Guido UNSPECIFIED orcid.org/0000-0003-0180-5890 UNSPECIFIED
URN:	urn:nbn:de:hbz:38-481541
DOI:	10.1007/s00033-012-0195-y
Journal or Publication Title:	Z. Angew. Math. Phys.
Volume:	63
Number:	5
Page Range:	S. 929 - 961
Date:	2012
Publisher:	SPRINGER INTERNATIONAL PUBLISHING AG
Place of Publication:	CHAM
ISSN:	1420-9039
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language BOUNDARY Multiple languages Mathematics, Applied Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/48154