A notion of compliance robustness in topology optimization

DOI10.1051/cocv/2014066zbMath1335.49069OpenAlexW1995840441MaRDI QIDQ2798003

Samuel Amstutz, Marc Ciligot-Travain

Publication date: 1 April 2016

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/34e1ea7cc20288fb3ae40c977d4ca0718e40f212

zbMATH Keywords

robustnessshape optimizationstability radiustopology optimizationtopological derivativecompliance

Mathematics Subject Classification ID

Numerical methods involving duality (49M29) Quadratic programming (90C20) Optimization of other properties in solid mechanics (74P10) Optimization of shapes other than minimal surfaces (49Q10) Topological methods for optimization problems in solid mechanics (74P15) Compliance or weight optimization in solid mechanics (74P05)

Related Items

Shape Optimization for Quadratic Functionals and States with Random Right-Hand Sides ⋮ Robust compliance topology optimization based on the topological derivative concept ⋮ Shape sensitivity analysis for elastic structures with generalized impedance boundary conditions of the Wentzell type -- application to compliance minimization ⋮ Robust shape and topology optimization of nanophotonic devices using the level set method ⋮ Topological derivatives of shape functionals. II: First-order method and applications ⋮ Shape and topology optimization ⋮ A deterministic approximation method in shape optimization under random uncertainties

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