Simultaneous material, shape and topology optimization
type: Item
instance of: scholarly article
title: Simultaneous material, shape and topology optimization
zbMATH Open document ID: 1506.74272
author: F. Fernández
author: Andrew T. Barker
author: Jun Kudo
author: James P. Lewicki
author: Kenneth Swartz
author: Daniel A. Tortorelli
author: Seth E. Watts
author: Daniel White
author: Jonathan Wong
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 2021-04-26T00:00:00Z
Mathematics Subject Classification ID: 74P15
zbMATH DE Number: 7337962
zbMATH Keywords: material
zbMATH Keywords: shape
zbMATH Keywords: topology
zbMATH Keywords: design dependent loads
zbMATH Keywords: structural optimization
describes a project that uses: hypre
describes a project that uses: Ipopt
MaRDI profile type: Publication
full work available at URL: j.cma.2020.113321
OpenAlex ID: W3077569466
cites work: A level set method for structural topology optimization.
cites work: Topology optimization with implicit functions and regularization
cites work: Structural optimization using sensitivity analysis and a level-set method.
cites work: A critical review of established methods of structural topology optimization
cites work: On the Topological Derivative in Shape Optimization
cites work: Q5323149
cites work: Structural boundary design via level set and immersed interface methods
cites work: Shape optimization with topological changes and parametric control
cites work: Achieving minimum length scale in topology optimization using nodal design variables and projection functions
cites work: Topology optimization of 3D shell structures with porous infill
cites work: Topology optimization of nonlinear elastic structures and compliant mechanisms
cites work: Filters in topology optimization
cites work: An optimal design problem with perimeter penalization
cites work: Optimal design of elastic plates with a constraint on the slope of the thickness function
cites work: Shape optimization with a level set based mesh evolution method
cites work: Shape optimization and fictitious domain approach for solving free boundary problems of Bernoulli type
cites work: Levelset based fluid topology optimization using the extended finite element method
cites work: Fictitious domain methods using cut elements: III. A stabilized Nitsche method for Stokes’ problem
cites work: The shape and topological optimizations' connection
cites work: Topological sensitivity analysis
cites work: A topological derivative method for topology optimization
cites work: Regularized formulation for optimal design of axisymmetric plates
cites work: Optimal design and relaxation of variational problems, II
cites work: Generating optimal topologies in structural design using a homogenization method
cites work: Materials with prescribed constitutive parameters: An inverse homogenization problem
cites work: Multiphase composites with extremal bulk modulus
cites work: Topological optimization of continuum structures with design-dependent surface loading. I: New computational approach for 2D problems
cites work: Topological optimization of continuum structures with design-dependent surface loading. II: Algorithm and examples for 3D problems
cites work: Design-dependent loads in topology optimization
cites work: Topology optimization with design-dependent loads
cites work: Topology optimization using a mixed formulation: an alternative way to solve pressure load problems
cites work: Topology optimization for thermal conductors considering design-dependent effects, including heat conduction and convection
cites work: Topology optimization of convection-dominated, steady-state heat transfer problems
cites work: A geometry projection method for shape optimization
cites work: Application of spectral level set methodology in topology optimization
cites work: Radial basis functions and level set method for structural topology optimization
cites work: Parametric structural shape \& topology optimization with a variational distance-regularized level set method
cites work: Topology optimization in B-spline space
cites work: Feature-driven topology optimization method with signed distance function
cites work: Explicit structural topology optimization based on moving morphable components (MMC) with curved skeletons
cites work: A comprehensive study of feature definitions with solids and voids for topology optimization
cites work: A geometry projection method for continuum-based topology optimization with discrete elements
cites work: Stress-based topology optimization with discrete geometric components
cites work: Semi-analytic geometry with R-functions
cites work: A level set based model for damage growth: the thick level set approach
cites work: An embedded mesh method in a multiple material ALE
cites work: An embedded mesh method using piecewise constant multipliers with stabilization: mathematical and numerical aspects
cites work: A level set-based parameterization method for structural shape and topology optimization
cites work: Topology optimization of multiple deformable bodies in contact with large deformations
cites work: Q4214182
cites work: On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming
cites work: Multiscale topology optimization using neural network surrogate models
cites work: Filters in topology optimization based on Helmholtz-type differential equations

Simultaneous material, shape and topology optimization (cites work)
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cites work: Optimal design of fiber reinforced composite structures and their direct ink write fabrication

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cites work: Fixed grid finite elements in elasticity problems

Simultaneous material, shape and topology optimization (DOI)
DOI: 10.1016/J.CMA.2020.113321