Adhesive flexible material structures

Francesco Maddalena; Danilo Percivale; Franco Tomarelli

doi:10.3934/dcdsb.2012.17.553

Article Contents

2012, Volume 17, Issue 2: 553-574. Doi: 10.3934/dcdsb.2012.17.553

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Adhesive flexible material structures

1.
Dipartimento di Matematica Politecnico di Bari, via Re David 200, 70125 Bari
2.
Dipartimento di Ingegneria della Produzione Termoenergetica e Modelli Matematici, Università di Genova, Piazzale Kennedy, Fiera del Mare, Padiglione D, 16129 Genova
3.
Dipartimento di Matematica "Francesco Brioschi", Politecnico di Milano, Piazza Leonardo da Vinci 32, 20133 Milano

Received: November 2010

Revised: June 2011

Published: March 2012

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Abstract

We study variational problems modeling the adhesion interaction with a rigid substrate for elastic strings and rods. We produce conditions characterizing bonded and detached states as well as optimality properties with respect to loading and geometry. We show Euler equations for minimizers of the total energy outside self-contact and secondary contact points with the substrate.

Keywords:

Mathematics Subject Classification: Primary: 49K10, 49Q10; 74G55 Secondary: 74B20; 74G65.

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