Structural optimization under internal porosity constraints using topological derivatives
type: Item
instance of: scholarly article
title: Structural optimization under internal porosity constraints using topological derivatives
zbMATH Open document ID: 1440.74273
author: Jesús Martínez-Frutos
author: Grégoire Allaire
author: Charles Dapogny
author: F. Periago
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 2020-04-09T00:00:00Z
Mathematics Subject Classification ID: 74P10
Mathematics Subject Classification ID: 49Q10
Mathematics Subject Classification ID: 49Q12
Mathematics Subject Classification ID: 74B05
Mathematics Subject Classification ID: 90C90
zbMATH DE Number: 7188708
zbMATH Keywords: porosity
zbMATH Keywords: structural optimization
zbMATH Keywords: compliant mechanisms
zbMATH Keywords: manufacturing constraints
zbMATH Keywords: shape and topological derivatives
zbMATH Keywords: level set method
MaRDI profile type: Publication
full work available at URL: j.cma.2018.10.036
OpenAlex ID: W2887787480
cites work: A linearized approach to worst-case design in parametric and geometric shape optimization
cites work: A deterministic approximation method in shape optimization under random uncertainties
cites work: Computing quantities of interest for random domains with second order shape sensitivity analysis
cites work: Topology optimization with geometric uncertainties by perturbation techniques
cites work: Robust shape optimization of continuous structures via the level set method
cites work: Risk-averse structural topology optimization under random fields using stochastic expansion methods
cites work: Manufacturing tolerant topology optimization
cites work: Q5323149
cites work: Minimum stress optimal design with the level set method
cites work: A new algorithm for topology optimization using a level-set method
cites work: Topological derivatives in shape optimization
cites work: Multi-phase structural optimizationviaa level set method
cites work: The topological asymptotic with respect to a singular boundary perturbation
cites work: Optimal treatment of structures
cites work: Variation and optimization of formes. A geometric analysis
cites work: Q4000354
cites work: Structural optimization using sensitivity analysis and a level-set method.
cites work: The topological asymptotic for PDE systems: The elasticity case
cites work: Conception optimale ou identification de formes, calcul rapide de la dérivée directionnelle de la fonction coût
cites work: On topological derivatives for elastic solids with uncertain input data
cites work: Q5491447
cites work: Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
cites work: Structural boundary design via level set and immersed interface methods
cites work: A level set method for structural topology optimization.
cites work: Q4265376
cites work: Computing minimal surfaces via level set curvature flow
cites work: Q4449265
Wikidata QID: Q128977398
DOI: 10.1016/J.CMA.2018.10.036
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description: scientific article; zbMATH DE number 7188708