On topological derivatives for elastic solids with uncertain input data

DOI10.1007/s10957-008-9490-3zbMath1215.74065OpenAlexW1990418745MaRDI QIDQ1035879

Jan Sokolowski, Antonio André Novotny, Ivan Hlaváček, Antoni Żochowski

Publication date: 4 November 2009

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-008-9490-3

zbMATH Keywords

shape optimizationtopological sensitivityworst scenario methodmaximum range scenario

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Topological methods for optimization problems in solid mechanics (74P15)

Related Items (9)

A linearized approach to worst-case design in parametric and geometric shape optimization ⋮ Shape Optimization for Quadratic Functionals and States with Random Right-Hand Sides ⋮ Robust compliance topology optimization based on the topological derivative concept ⋮ Shape and topological sensitivity analysis in domains with cracks. ⋮ Topological derivatives of shape functionals. II: First-order method and applications ⋮ Structural optimization under internal porosity constraints using topological derivatives ⋮ A new method for inverse electromagnetic casting problems based on the topological derivative ⋮ Shape and topology sensitivity analysis for cracks in elastic bodies on boundaries of rigid inclusions ⋮ On topological derivatives for contact problems in elasticity

Cites Work

• A topological derivative method for topology optimization
• Topological sensitivity analysis for three-dimensional linear elasticity problem
• Topological sensitivity analysis
• Asymptotic analysis of shape functionals
• Energy change due to the appearance of cavities in elastic solids.
• The Topological Asymptotic for PDE Systems: The Elasticity Case
• On the Topological Derivative in Shape Optimization
• Unnamed Item

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