Minimum length scale control in a NURBS-based SIMP method

DOI10.1016/j.cma.2019.05.026zbMath1441.74155OpenAlexW2947687901MaRDI QIDQ1988193

Marco Montemurro, Jérôme Pailhès, Giulio Costa

Publication date: 16 April 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.2019.05.026

zbMATH Keywords

SIMP methodtopology optimisationminimum length scaleNURBS hyper-surfaces

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Topological methods for optimization problems in solid mechanics (74P15)

Related Items (12)

Multi-Displacement Requirement in a Topology Optimization Algorithm Based on Non-uniform Rational Basis Spline Hyper-Surfaces ⋮ Bézier extraction based isogeometric topology optimization with a locally-adaptive smoothed density model ⋮ Topology optimization and geometric nonlinear modeling using positional finite elements ⋮ Non-uniform rational basis spline hyper-surfaces for metamodelling ⋮ Additive manufacturing applications of phase‐field‐based topology optimization using adaptive isogeometric analysis ⋮ Stress-related topology optimization with multilevel smoothed isogeometric densities and Bézier elements ⋮ The asymptotic concentration approach combined with isogeometric analysis for topology optimization of two-dimensional linear elasticity structures ⋮ Design of compliant constant-output-force mechanisms using topology optimization ⋮ Topological gradient in structural optimization under stress and buckling constraints ⋮ Three-dimensional topology optimization of auxetic metamaterial using isogeometric analysis and model order reduction ⋮ Topology optimization with precise evolving boundaries based on IGA and untrimming techniques ⋮ Structural displacement requirement in a topology optimization algorithm based on isogeometric entities

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Manufacturing tolerant topology optimization
• On projection methods, convergence and robust formulations in topology optimization
• Explicit feature control in structural topology optimization via level set method
• Generating optimal topologies in structural design using a homogenization method
• Structural optimization using sensitivity analysis and a level-set method.
• An explicit length scale control approach in SIMP-based topology optimization
• Topology optimization in B-spline space
• Minimum length scale in topology optimization by geometric constraints
• A new scheme for imposing a minimum length scale in topology optimization
• Achieving minimum length scale in topology optimization using nodal design variables and projection functions

This page was built for publication: Minimum length scale control in a NURBS-based SIMP method