Analytical sensitivity analysis using the extended finite element method in shape optimization of bimaterial structures

DOI10.1002/nme.5181zbMath1352.74256OpenAlexW2281941035MaRDI QIDQ2952966

Laurent van Miegroet, Lise Noël, Pierre Duysinx

Publication date: 30 December 2016

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: http://orbi.ulg.ac.be/handle/2268/196305

zbMATH Keywords

level setshape optimizationbimaterialXFEManalytical sensitivity analysis

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Geometrical methods for optimization problems in solid mechanics (74P20)

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Cites Work

• Shape optimal design using B-splines
• A level set approach for optimal design of smart energy harvesters
• Stress-related topology optimization of continuum structures involving multi-phase materials
• Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
• Generating optimal topologies in structural design using a homogenization method
• A study of design velocity field computation for shape optimal design
• A computational approach to handle complex microstructure geometries.
• ``Color level sets: A multi-phase method for structural topology optimization with multiple materials.
• A level-set method for shape optimization.
• A shape optimization approach based on natural design variables and shape functions
• A level set method for structural topology optimization.
• Review of options for structural design sensitivity analysis. I: Linear systems
• A modified extended finite element method approach for design sensitivity analysis
• Discrete material optimization of general composite shell structures
• The method of moving asymptotes—a new method for structural optimization
• Structured extended finite element methods for solids defined by implicit surfaces
• A finite element method for crack growth without remeshing
• Modeling holes and inclusions by level sets in the extended finite element method