A reduced multiscale model for nonlinear structural topology optimization

DOI10.1016/j.cma.2014.07.024zbMath1423.74771OpenAlexW2064590760MaRDI QIDQ1668747

Liang Xia, Piotr Breitkopf

Publication date: 29 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.2014.07.024

zbMATH Keywords

proper orthogonal decompositionparallel computingmodel reductionmultiscale analysistopology optimizationdiffuse approximation

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Composite and mixture properties (74E30) Topological methods for optimization problems in solid mechanics (74P15)

Related Items (27)

Recent advances on topology optimization of multiscale nonlinear structures ⋮ Automatised selection of load paths to construct reduced-order models in computational damage micromechanics: from dissipation-driven random selection to Bayesian optimization ⋮ Concurrent topology optimization design of material and structure within \(\operatorname{FE}^2\) nonlinear multiscale analysis framework ⋮ Microstructure-informed reduced modes synthesized with Wang tiles and the generalized finite element method ⋮ Accelerating multiscale finite element simulations of history-dependent materials using a recurrent neural network ⋮ Data-driven streamline stiffener path optimization (SSPO) for sparse stiffener layout design of non-uniform curved grid-stiffened composite (NCGC) structures ⋮ Multiscale design of nonlinear materials using reduced-order modeling ⋮ Concurrent topology optimization for minimizing frequency responses of two-level hierarchical structures ⋮ Topology optimization of geometrically nonlinear structures using reduced-order modeling ⋮ Topology optimization of multiscale elastoviscoplastic structures ⋮ Deep convolutional Ritz method: parametric PDE surrogates without labeled data ⋮ Convolution hierarchical deep-learning neural network tensor decomposition (C-HiDeNN-TD) for high-resolution topology optimization ⋮ Multiscale topology optimization with direct \(\mathrm{FE}^2\) ⋮ Multiscale modeling of prismatic heterogeneous structures based on a localized hyperreduced-order method ⋮ POD-assisted strategies for structural topology optimization ⋮ Towards surrogate modeling of material microstructures through the processing variables ⋮ Functionally graded lattice structure topology optimization for the design of additive manufactured components with stress constraints ⋮ Two-scale shape optimisation based on numerical homogenisation techniques and variational sensitivity analysis ⋮ Topology optimization in aircraft and aerospace structures design ⋮ Three-dimensional topology optimization of auxetic metamaterial using isogeometric analysis and model order reduction ⋮ Bi-directional evolutionary structural optimization on advanced structures and materials: a comprehensive review ⋮ Topology optimization benchmarks in 2D: results for minimum compliance and minimum volume in planar stress problems ⋮ Multiscale structural topology optimization with an approximate constitutive model for local material microstructure ⋮ Isogeometric shape optimization of smoothed petal auxetic structures via computational periodic homogenization ⋮ Acceleration of shape optimization analysis using model order reduction by Karhunen-Loève expansion ⋮ Stress-constrained topology optimization of lattice-like structures using component-wise reduced order models ⋮ Efficient acoustic topology optimization with the multifrequency quasi-static Ritz vector (MQSRV) method

Uses Software

• Matlab

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