Calculus of Variations and Geometric Measure Theory

G. Buttazzo - N. Varchon

On the Optimal Reinforcement of an Elastic Membrane

created by buttazzo on 11 Mar 2005
modified on 18 Mar 2005



Inserted: 11 mar 2005
Last Updated: 18 mar 2005

Year: 2005


We consider an elastic membrane occupying a domain $\Omega$ of $*R*^N$ under the action of a given exterior load $f$. The membrane can be reinforced by the addition of a suitable potential term in the energy; this is usually a boundary term but also other situations can be considered. We study the optimal configuration of the stiffeners which provide the best reinforcement of the membrane.

Keywords: elasticity, reinforcement, membrane, stiffeners