Boundary effects in a phase-field approach to topology optimization

DOI10.1016/j.cma.2014.05.012zbMath1423.74766OpenAlexW2047221773MaRDI QIDQ1667314

Mathias Wallin, Ristinmaa, Matti

Publication date: 28 August 2018

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.2014.05.012

zbMATH Keywords

topology optimizationphase-fielddouble obstacle problemboundary energyHoward's algorithm

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Topological methods for optimization problems in solid mechanics (74P15) Compliance or weight optimization in solid mechanics (74P05) Sensitivity analysis for optimization problems on manifolds (49Q12)

Related Items (7)

Large strain phase-field-based multi-material topology optimization ⋮ An improved optimality criterion combined with density filtering method for structural topology optimization ⋮ Topology optimization of light structures using the natural neighbour radial point interpolation method ⋮ Topology optimization utilizing inverse motion based form finding ⋮ Cahn-Hilliard phase field theory coupled to mechanics: fundamentals, numerical implementation and application to topology optimization ⋮ Topology optimization benchmarks in 2D: results for minimum compliance and minimum volume in planar stress problems ⋮ Topology optimization using a natural neighbour meshless method combined with a bi-directional evolutionary algorithm

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