\texttt{PolyTop}: a Matlab implementation of a general topology optimization framework using unstructured polygonal finite element meshes
From MaRDI portal
Publication:381728
DOI10.1007/s00158-011-0696-xzbMath1274.74402OpenAlexW2024698587MaRDI QIDQ381728
Cameron Talischi, Glaucio H. Paulino, Pereira Anderson, Ivan F. M. Menezes
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/s00158-011-0696-x
Finite element methods applied to problems in solid mechanics (74S05) Topological methods for optimization problems in solid mechanics (74P15) Software, source code, etc. for problems pertaining to mechanics of deformable solids (74-04)
Related Items
Polygonal composite elements for stress-constrained topology optimization of nearly incompressible materials ⋮ Topology optimization using polytopes ⋮ Virtual element approximation of two-dimensional parabolic variational inequalities ⋮ On the virtual element method for topology optimization on polygonal meshes: a numerical study ⋮ The finite cell method for polygonal meshes: poly-FCM ⋮ Machine learning for topology optimization: physics-based learning through an independent training strategy ⋮ An efficient 146-line 3D sensitivity analysis code of stress-based topology optimization written in Matlab ⋮ A closer look at consistent operator splitting and its extensions for topology optimization ⋮ Polygonal shell elements with assumed transverse shear and membrane strains ⋮ \texttt{PolyMesher}: a general-purpose mesh generator for polygonal elements written in Matlab ⋮ Efficient generation of large-scale Pareto-optimal topologies ⋮ Efficient integration method for fictitious domain approaches ⋮ A novel formulation for the explicit discretisation of evolving boundaries with application to topology optimisation ⋮ Scaled boundary polygons with application to fracture analysis of functionally graded materials ⋮ Reduction in mesh bias for dynamic fracture using adaptive splitting of polygonal finite elements ⋮ Polygonal finite elements for finite elasticity ⋮ Gradient correction for polygonal and polyhedral finite elements ⋮ Virtual and smoothed finite elements: A connection and its application to polygonal/polyhedral finite element methods ⋮ \texttt{HoneyTop90}: a 90-line MATLAB code for topology optimization using honeycomb tessellation ⋮ A single variable stress-based multi-material topology optimization method with three-dimensional unstructured meshes ⋮ Numerical Integration Approach Based on Radial Integration Method for General 3D Polyhedral Finite Elements ⋮ A brief review on polygonal/polyhedral finite element methods ⋮ An operator splitting algorithm for Tikhonov-regularized topology optimization ⋮ Quadratic maximum-entropy serendipity shape functions for arbitrary planar polygons ⋮ Design of functionally graded piezocomposites using topology optimization and homogenization -- toward effective energy harvesting materials ⋮ Implementation of the virtual element method for coupled thermo-elasticity in Abaqus ⋮ On the application of polygonal finite element method for Stokes flow -- a comparison between equal order and different order approximation ⋮ Multi-material continuum topology optimization with arbitrary volume and mass constraints ⋮ An adaptive strategy based on conforming quadtree meshes for kinematic limit analysis ⋮ A simple and effective gradient recovery scheme and \textit{a posteriori} error estimator for the virtual element method (VEM) ⋮ Polytopal composite finite elements ⋮ An ODE-driven level-set density method for topology optimization ⋮ M-Adaptation in the mimetic finite difference method ⋮ New perspectives on polygonal and polyhedral finite element methods ⋮ Addressing integration error for polygonal finite elements through polynomial projections: A patch test connection ⋮ Post processing of solution and flux for the nodal mimetic finite difference method ⋮ Adaptive multi-material topology optimization with hyperelastic materials under large deformations: a virtual element approach ⋮ Imposing minimum and maximum member size, minimum cavity size, and minimum separation distance between solid members in topology optimization ⋮ Universal machine learning for topology optimization ⋮ Multiscale VEM for the Biot consolidation analysis of complex and highly heterogeneous domains ⋮ A combined virtual element method and the scaled boundary finite element method for linear elastic fracture mechanics ⋮ \(n\)-sided polygonal hybrid finite elements with unified fundamental solution kernels for topology optimization ⋮ PolyTop ⋮ A polytree-based adaptive approach to limit analysis of cracked structures ⋮ Some basic formulations of the virtual element method (VEM) for finite deformations ⋮ Stochastic sampling for deterministic structural topology optimization with many load cases: density-based and ground structure approaches ⋮ High-order polygonal discontinuous Petrov-Galerkin (PolyDPG) methods using ultraweak formulations ⋮ A polytree-based adaptive polygonal finite element method for multi-material topology optimization ⋮ Scaled boundary polygons for linear elastodynamics ⋮ A C\# code for solving 3D topology optimization problems using SAP2000 ⋮ A Family of $H(div)$ Finite Element Approximations on Polygonal Meshes ⋮ \(n+1\) Integration scheme for polygonal elements using Richardson extrapolation ⋮ Virtual elements for sound propagation in complex poroelastic media
Uses Software
Cites Work
- Unnamed Item
- A critical review of established methods of structural topology optimization
- Honeycomb Wachspress finite elements for structural topology optimization
- Layout and material gradation in topology optimization of functionally graded structures: a global-local approach
- Efficient topology optimization in MATLAB using 88 lines of code
- \texttt{PolyMesher}: a general-purpose mesh generator for polygonal elements written in Matlab
- A note on the theoretical convergence properties of the SIMP method
- An optimal design problem with perimeter penalization
- Topology optimization of elastic continua using restriction.
- Existence of minimizers for non-quasiconvex functionals arising in optimal design
- Structural optimization using sensitivity analysis and a level-set method.
- Material interpolation schemes in topology optimization
- Variational methods for structural optimization
- A level set method for structural topology optimization.
- Some convergence results in perimeter-controlled topology optimization
- A level-set method for vibration and multiple loads structural optimization
- Filters in topology optimization
- APPLICATION OF POLYGONAL FINITE ELEMENTS IN LINEAR ELASTICITY
- Optimal design and relaxation of variational problems, III
- Polygonal finite elements for topology optimization: A unifying paradigm
- On the ersatz material approximation in level-set methods
- On the equivalence of optimality criterion and sequential approximate optimization methods in the classical topology layout problem
- Numerical integration over arbitrary polygonal domains based on Schwarz-Christoffel conformal mapping
- The method of moving asymptotes—a new method for structural optimization
- Optimal design and relaxation of variational problems, I
- Optimal design and relaxation of variational problems, II
- Design-dependent loads in topology optimization
- Topology optimization with implicit functions and regularization
- A Simple Mesh Generator in MATLAB
- A symmetry reduction method for continuum structural topology optimization
- Generalized Gaussian quadrature rules on arbitrary polygons
- Achieving minimum length scale in topology optimization using nodal design variables and projection functions
- Conforming polygonal finite elements
- Topology optimization using regularized intermediate density control
- Shape optimization by the homogenization method