Isogeometric gradient‐free proportional topology optimization (<scp>IGA‐PTO</scp>) for compliance problem
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Publication:6082593
DOI10.1002/nme.7315zbMath1530.74061OpenAlexW4381848968WikidataQ123143589 ScholiaQ123143589MaRDI QIDQ6082593
Jaroon Rungamornrat, Tinh Quoc Bui, Minh Ngoc Nguyen, Duy Vo, Pana Suttakul
Publication date: 30 November 2023
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/nme.7315
multiresolutionpenalization methodreconstructioncompliance minimizationnon-uniform rational B-spline basis functiongradient-based optimality criterion algorithmL-shaped cantileversemi-circular disc
Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Plates (74K20) Topological methods for optimization problems in solid mechanics (74P15) Compliance or weight optimization in solid mechanics (74P05) Isogeometric methods applied to problems in solid mechanics (74S22)
Cites Work
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- Isogeometric analysis for parameterized LSM-based structural topology optimization
- Isogeometric fluid structure interaction analysis with emphasis on non-matching discretizations, and with application to wind turbines
- A computational paradigm for multiresolution topology optimization (MTOP)
- Isogeometric design of elastic arches for maximum fundamental frequency
- On the usefulness of non-gradient approaches in topology optimization
- Topology optimization using B-spline finite elements
- An isogeometrical approach to structural topology optimization by optimality criteria
- Optimization of vibrating structures to reduce radiated noise
- Microstructural topology optimization with respect to sound power radiation
- Stress constrained topology optimization
- Multimaterial structural topology optimization with a generalized Cahn-Hilliard model of multiphase transition
- Some estimates for \(h\)-\(p\)-\(k\)-refinement in isogeometric analysis
- Isogeometric sizing and shape optimisation of beam structures
- Isogeometric shell analysis: the Reissner-Mindlin shell
- Isogeometric shell analysis with Kirchhoff-Love elements
- Full analytical sensitivities in NURBS based isogeometric shape optimization
- Stress constraints sensitivity analysis in structural topology optimization
- A NURBS-based multi-material interpolation (N-MMI) for isogeometric topology optimization of structures
- Isogeometric analysis: CAD, finite elements, NURBS, exact geometry and mesh refinement
- Studies of refinement and continuity in isogeometric structural analysis
- Generating optimal topologies in structural design using a homogenization method
- Structural optimization using sensitivity analysis and a level-set method.
- Material interpolation schemes in topology optimization
- Structural boundary design via level set and immersed interface methods
- Simultaneous isogeometrical shape and material design of functionally graded structures for optimal eigenfrequencies
- Fundamental aspects of shape optimization in the context of isogeometric analysis
- A level set method for structural topology optimization.
- A new isogeometric topology optimization using moving morphable components based on R-functions and collocation schemes
- Preconditioning immersed isogeometric finite element methods with application to flow problems
- Extended isogeometric analysis with strong imposing essential boundary conditions for weak discontinuous problems using B++ splines
- An efficient isogeometric beam formulation for analysis of 2D non-prismatic beams
- A 2D field-consistent beam element for large displacement analysis using a rational Bézier representation with varying weights
- On invariance of spatial isogeometric Timoshenko-Ehrenfest beam formulations for static analysis
- A reaction diffusion-based B-spline level set (RDBLS) method for structural topology optimization
- Explicit topology optimization using IGA-based moving morphable void (MMV) approach
- An immersed-boundary/isogeometric method for fluid-structure interaction involving thin shells
- Geometrically nonlinear multi-patch isogeometric analysis of spatial Euler-Bernoulli beam structures
- A level-set based IGA formulation for topology optimization of flexoelectric materials
- Isogeometric collocation methods for Cosserat rods and rod structures
- Multiscale isogeometric topology optimization for lattice materials
- An isogeometrical approach to structural level set topology optimization
- Explicit three dimensional topology optimization via moving morphable void (MMV) approach
- A multi-resolution approach for multi-material topology optimization based on isogeometric analysis
- An efficient blended mixed B-spline formulation for removing membrane locking in plane curved Kirchhoff rods
- Locking-free isogeometric collocation formulation for three-dimensional geometrically exact shear-deformable beams with arbitrary initial curvature
- Explicit isogeometric topology optimization using moving morphable components
- Explicit structural topology optimization based on moving morphable components (MMC) with curved skeletons
- A reconstructed local \(\bar{B}\) formulation for isogeometric Kirchhoff-Love shells
- Bézier \(\bar{B}\) projection
- Isogeometric design of anisotropic shells: optimal form and material distribution
- Isogeometric structural shape optimization
- Duality and unified analysis of discrete approximations in structural dynamics and wave propagation: comparison of p-method finite elements with \(k\)-method NURBS
- A nodal variable method of structural topology optimization based on Shepard interpolant
- Improving multiresolution topology optimization via multiple discretizations
- Large-scale topology optimization using preconditioned Krylov subspace methods with recycling
- The method of moving asymptotes—a new method for structural optimization
- Isogeometric Analysis
- Large-scale topology optimization in 3D using parallel computing
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