Topology optimization using B-spline finite elements

DOI10.1007/s00158-011-0650-yzbMath1274.74358OpenAlexW2081818981MaRDI QIDQ381645

Ashok V. Kumar, Anand Parthasarathy

Publication date: 15 November 2013

Published in: Structural and Multidisciplinary Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00158-011-0650-y

zbMATH Keywords

topology optimizationB-spline finite elementscompliance minimizationdensity smoothing

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) Topological methods for optimization problems in solid mechanics (74P15) Compliance or weight optimization in solid mechanics (74P05)

Related Items (14)

Isogeometric analysis for parameterized LSM-based structural topology optimization ⋮ Isogeometric topology optimization of strain gradient materials ⋮ Bézier extraction based isogeometric topology optimization with a locally-adaptive smoothed density model ⋮ Explicit topology optimization using IGA-based moving morphable void (MMV) approach ⋮ Isogeometric gradient‐free proportional topology optimization (<scp>IGA‐PTO</scp>) for compliance problem ⋮ A continuous field adaptive mesh refinement algorithm for isogeometric topology optimization using PHT-splines ⋮ The asymptotic concentration approach combined with isogeometric analysis for topology optimization of two-dimensional linear elasticity structures ⋮ Alternating Optimization Method for Isogeometric Topology Optimization with Stress Constraints ⋮ Topology optimization in B-spline space ⋮ Isogeometric analysis for topology optimization with a phase field model ⋮ A new isogeometric topology optimization using moving morphable components based on R-functions and collocation schemes ⋮ An isogeometric multimesh design approach for size and shape optimization of multidirectional functionally graded plates ⋮ A multi-resolution approach for multi-material topology optimization based on isogeometric analysis ⋮ Performance optimization and broadband design of piezoelectric energy harvesters based on isogeometric topology optimization framework

Uses Software

• ESOFRAME

Cites Work

• Topology optimization of shell structures using adaptive inner-front (AIF) level set method
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• Isogeometric shape design optimization: exact geometry and enhanced sensitivity
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• On various aspects of evolutionary structural optimization for problems with stiffness constraints
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• A level set method for structural topology optimization.
• Stability of finite element models for distributed-parameter optimization and topology design
• Isogeometric structural shape optimization
• Continuous approximation of material distribution for topology optimization
• A finite element-based level set method for structural optimization
• Implicit boundary method for analysis using uniform B-spline basis and structured grid
• Implicit boundary method for finite element analysis using non-conforming mesh or grid
• Optimal design and relaxation of variational problems, I

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