Abstract
We discuss the optimization problem of maximizing the torsional rigidity among bars with a given hole and a volume constraint. We find a class of holes for which the optimal bar exists and has a locally analytic outer boundary. We also prove that the problem is stable in this class.
Citation
Claudia Lederman. "An optimization problem in elasticity." Differential Integral Equations 8 (8) 2025 - 2044, 1995. https://doi.org/10.57262/die/1369056138
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