Shape optimization of Dirichlet boundaries based on weighted B-spline finite cell method and level-set function

DOI10.1016/j.cma.2015.06.012zbMath1423.74730OpenAlexW2212981526MaRDI QIDQ2632992

Shouyu Cai, Linying Zhao, Wei-Hong Zhang

Publication date: 15 May 2019

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.2015.06.012

zbMATH Keywords

Dirichlet boundary conditionweighting functionfinite cell methodfixed gridlevel-set functionshape optimization of support boundary

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Applications of mathematical programming (90C90) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Optimization of shapes other than minimal surfaces (49Q10) Compliance or weight optimization in solid mechanics (74P05) Finite volume methods applied to problems in solid mechanics (74S10)

Related Items (13)

Fracture-based shape optimization built upon the topological derivative ⋮ M-VCUT level set method for optimizing cellular structures ⋮ Topology optimization of compliant mechanism and its support through a level set method ⋮ WEB-spline finite elements for the approximation of Navier-Lamé system with \(C_{A, B}\) boundary condition ⋮ Optimization of the shape of regions supporting boundary conditions ⋮ Fractional calculus in abstract space and its application in fractional Dirichlet type problems ⋮ A bio-inspired B-spline offset feature for structural topology optimization ⋮ Exact imposition of inhomogeneous Dirichlet boundary conditions based on weighted finite cell method and level-set function ⋮ CBS-based topology optimization including design-dependent body loads ⋮ A comprehensive study of feature definitions with solids and voids for topology optimization ⋮ Feature-driven topology optimization method with signed distance function ⋮ Topology optimization of self-supporting structures with polygon features for additive manufacturing ⋮ Multiphysics Topology Optimization of Thermal Actuators by Using the Level Set-Based Multiple-Type Boundary Method

Uses Software

• BOSS-Quattro

Cites Work

• Unnamed Item
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