| Abstract: |
| We reconsider the minimization of the compliance of a two dimensional elastic body
with traction boundary conditions for a given weight.
It is well known how to rewrite this optimal design problem as a
nonlinear variational problem. The limit of vanishing weight is taken by sending a suitable Lagrange
multiplier to infinity in the variational formulation. We show that the limit, in the sense of
$\Gamma$-convergence, is a certain Michell truss problem. This proves a conjecture by Kohn and Allaire. |
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