Calculus of Variations and Geometric Measure Theory

G. Buttazzo - A. Wagner

On the optimal shape of a rigid body supported by an elastic membrane

created by buttazzo on 30 Oct 2017


Published Paper

Inserted: 30 oct 2017

Journal: Nonlinear Anal.
Volume: 39
Pages: 47-63
Year: 2000
Doi: 10.1016/S0362-546X(98)00163-1
Links: paper at the journal web site


We consider an elastic membrane which supports a rigid body. Under height or volume constraints on the rigid body, we study the elastic deformation of the membrane and we determine the shape of the body which minimizes the total energy.

Keywords: optimal shape, rigid body, supporting membrane