Calculus of Variations and Geometric Measure Theory

F. Maddalena - D. Percivale - F. Tomarelli

Adhesive Flexible Material Structures

created by maddalena on 28 Oct 2010
modified by tomarelli on 08 Feb 2013


Published Paper

Inserted: 28 oct 2010
Last Updated: 8 feb 2013

Journal: Discrete Contin. Dyn. Syst. Ser. B
Volume: 17
Number: 2
Pages: 553 - 574
Year: 2012
Links: published online


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: Calculus of variations, adhesion, nonlinear elasticity