Towards solving large-scale topology optimization problems with buckling constraints at the cost of linear analyses
From MaRDI portal
Publication:2309393
DOI10.1016/j.cma.2020.112911zbMath1436.74055arXiv1909.13585OpenAlexW3004953002MaRDI QIDQ2309393
Publication date: 31 March 2020
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1909.13585
Bifurcation and buckling (74G60) Topological methods for optimization problems in solid mechanics (74P15)
Related Items (10)
Adaptive isogeometric topology optimization using PHT splines ⋮ A strategy for avoiding spurious localized buckling modes in topology optimization ⋮ Reliability‐based topology optimization of continuum structure under buckling and compliance constraints ⋮ Finite strain topology optimization with nonlinear stability constraints ⋮ XFEM{\textbackslash}GFEM based approach for topology optimization of extruded beams with enhanced buckling resistance ⋮ Topology optimization of multiscale structures considering local and global buckling response ⋮ Revisiting element removal for density-based structural topology optimization with reintroduction by Heaviside projection ⋮ Reduced-order methods for dynamic problems in topology optimization: a comparative study ⋮ A novel elastoplastic topology optimization formulation for enhanced failure resistance via local ductile failure constraints and linear buckling analysis ⋮ A phase field method based on multi-level correction for eigenvalue topology optimization
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On projection methods, convergence and robust formulations in topology optimization
- Block Krylov-Schur method for large symmetric eigenvalue problems
- Computing several eigenpairs of Hermitian problems by conjugate gradient iterations
- Iteration methods in eigenvalue problems
- Multi-grid methods for Stokes and Navier-Stokes equations. Transforming smoothers: Algorithms and numerical results
- The block conjugate gradient algorithm and related methods
- Minimization of the computational labor in determining the first eigenvalues of differential operators
- Structural topology and shape optimization for a frequency response problem
- A stopping criterion for the conjugate gradient algorithm in a finite element method framework
- Inexact inverse iteration for generalized eigenvalue problems
- A geometric theory for preconditioned inverse iteration. I: Extrema of Rayleigh quotient
- A geometric theory for preconditioned inverse iteration. III: A short and sharp convergence estimate for generalized eigenvalue problems
- Preconditioning techniques for large linear systems: A survey
- Buckling strength topology optimization of 2D periodic materials based on linearized bifurcation analysis
- A block conjugate gradient method applied to linear systems with multiple right-hand sides
- Filters in topology optimization
- Toward the Optimal Preconditioned Eigensolver: Locally Optimal Block Preconditioned Conjugate Gradient Method
- A Krylov--Schur Algorithm for Large Eigenproblems
- Level-set topology optimization with many linear buckling constraints using an efficient and robust eigensolver
- Rational approach for assumed stress finite elements
- The method of moving asymptotes—a new method for structural optimization
- Alternative ways for formulation of hybrid stress elements
- Optimum structural design with stability constraints
- A Multigrid Tutorial, Second Edition
This page was built for publication: Towards solving large-scale topology optimization problems with buckling constraints at the cost of linear analyses
