Shape Derivative for Some Eigenvalue Functionals in Elasticity Theory

DOI10.1137/20M1343105zbMath1460.49032OpenAlexW3145474824MaRDI QIDQ5858109

Marc Dambrine, Fabien Caubet, Rajesh Mahadevan

Publication date: 9 April 2021

Published in: SIAM Journal on Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/20m1343105

zbMATH Keywords

shape derivativesshape sensitivity analysisgeneralized boundary conditionseigenvalues of elasticity operators

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Optimization of shapes other than minimal surfaces (49Q10) Variational methods for eigenvalues of operators (49R05)

Related Items (2)

Robust obstacle reconstruction in an elastic medium ⋮ One-Sided Derivative of Parametrized Minima for Shape and Topological Derivatives

Cites Work

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• Homogenized interface model describing inhomogeneities located on a surface
• Optimal treatment of structures
• An introduction to \(\Gamma\)-convergence
• Shape sensitivity analysis for elastic structures with generalized impedance boundary conditions of the Wentzell type -- application to compliance minimization
• Variation and optimization of formes. A geometric analysis
• A level-set method for vibration and multiple loads structural optimization
• On Generalized Ventcel's Type Boundary Conditions for Laplace Operator in a Bounded Domain
• On traces of Sobolev functions on the boundary of extension domains
• Artificial conditions for the linear elasticity equations

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