ON A NONLOCAL FUNCTIONAL ARISING IN THE STUDY OF THIN-FILM BLISTERING-Reference-Cited by-同舟云学术

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ON A NONLOCAL FUNCTIONAL ARISING IN THE STUDY OF THIN-FILM BLISTERING

Published:2010-04 Issue:02 Volume:08 Page:109-123
ISSN:0219-5305
Container-title:Analysis and Applications
language:en
Short-container-title:Anal. Appl.

Author:

ANSINI N.¹,VALENTE V.²

Affiliation:

1. Dipartimento di Matematica, Sapienza Università di Roma, Piazzale Aldo Moro 2, 00185 Roma, Italy

2. Istituto per le Applicazioni del Calcolo "M. Picone", Consiglio Nazionale delle Ricerche, via dei Taurini 19, I-00185 Roma, Italy

Abstract

The energy of a Von Kármán circular plate is described by a nonlocal nonconvex one-dimensional functional depending on the thickness ε. Here we perform the asymptotic analysis via Γ-convergence as the parameter ε goes to zero.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Analysis

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219530510001540

Reference19 articles.

1. Line energies for gradient vector fields in the plane

2. Multiscale Analysis by Γ‐Convergence of a One‐Dimensional Nonlocal Functional Related to a Shell‐Membrane Transition

3. Stability of Straight Delamination Blisters

4. Mode-dependent toughness and the delamination of compressed thin films

5. Rigorous Bounds for the Föppl—von Kármán Theory of Isotropically Compressed Plates

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