# American Institute of Mathematical Sciences

March  2012, 17(2): 553-574. doi: 10.3934/dcdsb.2012.17.553

## Adhesive flexible material structures

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

Received  November 2010 Revised  June 2011 Published  December 2011

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.
Citation: Francesco Maddalena, Danilo Percivale, Franco Tomarelli. Adhesive flexible material structures. Discrete & Continuous Dynamical Systems - B, 2012, 17 (2) : 553-574. doi: 10.3934/dcdsb.2012.17.553
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