A robust topological derivative-based multi-material optimization approach: optimality condition and computational algorithm

DOI10.1016/j.cma.2020.113044zbMath1442.74178OpenAlexW3017165575MaRDI QIDQ2184443

A. A. Romero Onco, Sebastián M. Giusti

Publication date: 28 May 2020

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2020.113044

zbMATH Keywords

optimality conditionlevel-set methodtopological derivativemulti-material optimization

Mathematics Subject Classification ID

Optimization of shapes other than minimal surfaces (49Q10) Topological methods for optimization problems in solid mechanics (74P15)

Related Items (4)

Extended level set method: a multiphase representation with perfect symmetric property, and its application to multi-material topology optimization ⋮ Orientation optimization via topological derivatives in combination with multi-material topology optimization based on extended level set method ⋮ <scp>Tensor</scp> product decomposed multi‐material isogeometric topology optimization with explicit <scp>NURBS</scp> element stiffness computation ⋮ An incremental form interpolation model together with the Smolyak method for multi-material topology optimization

Cites Work

• Second-order topological expansion for electrical impedance tomography
• A topological derivative method for topology optimization
• Damage and fracture evolution in brittle materials by shape optimization methods
• Topological derivative-based topology optimization of structures subject to Drucker-Prager stress constraints
• Multiphase image segmentation and modulation recovery based on shape and topological sensitivity
• Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
• Structural optimization using sensitivity analysis and a level-set method.
• ``Color level sets: A multi-phase method for structural topology optimization with multiple materials.
• A multi-material level set-based topology and shape optimization method
• Applications of the topological derivative method
• A level set method for structural topology optimization.
• Topological derivatives in shape optimization
• Numerical technique for the 3D microarchitecture design of elastic composites inspired by crystal symmetries
• Second order topological sensitivity analysis
• Topological sensitivity analysis in heterogeneous anisotropic elasticity problem. Theoretical and computational aspects
• A new algorithm for topology optimization using a level-set method
• Optimum Design of Flextensional Piezoelectric Actuators into Two Spatial Dimensions
• Crack nucleation sensitivity analysis
• Topological asymptotic analysis of the Kirchhoff plate bending problem
• On the Topological Derivative in Shape Optimization
• Multi-phase structural optimizationviaa level set method
• Unnamed Item

This page was built for publication: A robust topological derivative-based multi-material optimization approach: optimality condition and computational algorithm