Convergence of equilibria of thin elastic plates under physical growth conditions for the energy density

Mora, M.G. and Scardia, L. (2012) Convergence of equilibria of thin elastic plates under physical growth conditions for the energy density. Journal of Differential Equations, 252(1), pp. 35-55. (doi: 10.1016/j.jde.2011.09.009)

Abstract

The asymptotic behaviour of the equilibrium configurations of a thin elastic plate is studied, as the thickness of the plate goes to zero. More precisely, it is shown that critical points of the nonlinear elastic functional converge to critical points of the Γ-limit. This is proved under the physical assumption that the energy density blows up as the determinant of the deformation gradient becomes infinitesimally small.

• Item Type: Articles
• Additional Information: NOTICE: this is the author’s version of a work that was accepted for publication in Journal of Differential Equations. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of Differential Equations, [252, 1, (2012)] DOI:10.1016/j.jde.2011.09.009
• Status: Published
• Refereed: Yes
• Glasgow Author(s) Enlighten ID: Scardia, Dr Lucia
• Authors: Mora, M.G., and Scardia, L.
• Subjects: Q Science > QA Mathematics
• College/School: College of Science and Engineering > School of Mathematics and Statistics > Mathematics
• Journal Name: Journal of Differential Equations
• Publisher: Elsevier
• ISSN: 0022-0396
• Published Online: 22 September 2011
• Copyright Holders: Copyright © 2012 Elsevier
• First Published: First published in Journal of Differential Equations 252(1):35-55
• Publisher Policy: Reproduced in accordance with the copyright policy of the publisher