Inserted: 28 oct 2010
Last Updated: 8 feb 2013
Journal: Discrete Contin. Dyn. Syst. Ser. B
Pages: 553 - 574
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