Jump to ContentJump to Main Navigation
Gamma-Convergence for Beginners$
Users without a subscription are not able to see the full content.

Andrea Braides

Print publication date: 2002

Print ISBN-13: 9780198507840

Published to Oxford Scholarship Online: September 2007

DOI: 10.1093/acprof:oso/9780198507840.001.0001

Show Summary Details
Page of

PRINTED FROM OXFORD SCHOLARSHIP ONLINE (www.oxfordscholarship.com). (c) Copyright Oxford University Press, 2019. All Rights Reserved. Under the terms of the licence agreement, an individual user may print out a PDF of a single chapter of a monograph in OSO for personal use (for details see www.oxfordscholarship.com/page/privacy-policy).date: 21 May 2019



Gamma-Convergence for Beginners

Andrea Braides

Oxford University Press

This chapter presents a brief treatment of problems defined on thin structures. A scaling argument allows the expression of the problem as an asymptotic study of degenerate energies on a single set. It is shown that the limit energy is independent on the ‘thin dimension’, and thus it is a dimensionally-reduced energy. In the convex case, the limit energy density is obtained by an optimization of a problem involving the original energy. An example shows that the same formula does not hold if the energies are polyconvex, and an additional quasiconvexification process is needed as in the theory of LeDret and Raoult.

Keywords:   thin domains, scaling argument, quasiconvexification, LeDret-Raoult

Oxford Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.

Please, subscribe or login to access full text content.

If you think you should have access to this title, please contact your librarian.

To troubleshoot, please check our FAQs , and if you can't find the answer there, please contact us .