Differential and Integral Equations

An optimization problem in elasticity

Claudia Lederman

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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.

Article information

Source
Differential Integral Equations, Volume 8, Number 8 (1995), 2025-2044.

Dates
First available in Project Euclid: 20 May 2013

Permanent link to this document
https://projecteuclid.org/euclid.die/1369056138

Mathematical Reviews number (MathSciNet)
MR1348963

Zentralblatt MATH identifier
0832.73041

Subjects
Primary: 73K40
Secondary: 35Q72 49J20: Optimal control problems involving partial differential equations 73V25

Citation

Lederman, Claudia. An optimization problem in elasticity. Differential Integral Equations 8 (1995), no. 8, 2025--2044. https://projecteuclid.org/euclid.die/1369056138


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