Topology optimization benchmarks in 2D: results for minimum compliance and minimum volume in planar stress problems
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Publication:724775
DOI10.1007/s11831-016-9190-3zbMath1391.74208OpenAlexW2520703132WikidataQ113323116 ScholiaQ113323116MaRDI QIDQ724775
José L. Marroquín, Victor Cardoso, S. Ivvan Valdez, Salvador Botello, Miguel A. Ochoa
Publication date: 26 July 2018
Published in: Archives of Computational Methods in Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11831-016-9190-3
Abstract computational complexity for mathematical programming problems (90C60) Topological methods for optimization problems in solid mechanics (74P15) Sensitivity analysis for optimization problems on manifolds (49Q12)
Related Items (5)
An isogeometric boundary element approach for topology optimization using the level set method ⋮ SVR-TO-APMA: hybrid efficient modelling and topology framework for stable topology optimization with accelerated performance measure approach ⋮ Enhancing level set-based topology optimization with anisotropic graded meshes ⋮ An optimization algorithm for automatic structural design ⋮ Adaptive continuation solid isotropic material with penalization for volume constrained compliance minimization
Uses Software
Cites Work
- Analytical benchmarks for topological optimization. IV: Square-shaped line support
- Evolutionary topology optimization of continuum structures with an additional displacement constraint
- Topological optimization of structures subject to von Mises stress constraints
- Erratum: Exact analytical solutions for some popular benchmark problems in topology optimization. III: L-shaped domains revisited
- Structural topology optimization based on non-local shepard interpolation of density field
- Topology optimization of 2D elastic structures using boundary elements
- Exact analytical solutions for some popular benchmark problems in topology optimization. II: Three-sided polygonal supports
- Exact analytical solutions for some popular benchmark problems in topology optimization.
- A level set method for shape and topology optimization of both structure and support of continuum structures
- Explicit feature control in structural topology optimization via level set method
- Robust topology optimization under loading uncertainty based on linear elastic theory and orthogonal diagonalization of symmetric matrices
- An enhanced aggregation method for topology optimization with local stress constraints
- Robust structural topology optimization considering boundary uncertainties
- Integrated topology optimization with embedded movable holes based on combined description by material density and level sets
- Isogeometric analysis for topology optimization with a phase field model
- Stress-related topology optimization via level set approach
- Topological derivative-based topology optimization of structures subject to Drucker-Prager stress constraints
- An extended level set method for shape and topology optimization
- A semi-implicit level set method for structural shape and topology optimization
- Generating optimal topologies in structural design using a homogenization method
- Topology optimization of elastic continua using restriction.
- Structural optimization using sensitivity analysis and a level-set method.
- ``Color level sets: A multi-phase method for structural topology optimization with multiple materials.
- Material interpolation schemes in topology optimization
- The shape and topological optimizations' connection
- Topology optimization with design-dependent loads
- A level-set method for shape optimization.
- Structural topology optimization with strength and heat conduction constraints
- Interpolation scheme for fictitious domain techniques and topology optimization of finite strain elastic problems
- Boundary effects in a phase-field approach to topology optimization
- Stress constrained shape and topology optimization with fixed mesh: a B-spline finite cell method combined with level set function
- Concurrent topology optimization design of material and structure within \(\operatorname{FE}^2\) nonlinear multiscale analysis framework
- Structural topology and shape optimization using a level set method with distance-suppression scheme
- A multi-material level set-based topology and shape optimization method
- A reduced multiscale model for nonlinear structural topology optimization
- Shape optimization with a level set based mesh evolution method
- An explicit length scale control approach in SIMP-based topology optimization
- Topology optimization with pressure load through a level set method
- Stochastic topology design optimization for continuous elastic materials
- Stress constrained topology optimization with free-form design domains
- Topology optimization utilizing inverse motion based form finding
- A multi-resolution method for 3D multi-material topology optimization
- Multiscale structural topology optimization with an approximate constitutive model for local material microstructure
- A staggered approach to shape and topology optimization using the traction method and an evolutionary-type advancing front algorithm
- A level set method for structural topology optimization.
- A level set method for structural topology optimization and its applications
- Guide-weight method for topology optimization of continuum structures including body forces
- Block aggregation of stress constraints in topology optimization of structures
- An implicit model for the integrated optimization of component layout and structure topology
- Nonlinear structural design using multiscale topology optimization. Part I: Static formulation
- Topology optimization in B-spline space
- Correlation between hole insertion criteria in a boundary element and level set based topology optimisation method
- A level-set method for vibration and multiple loads structural optimization
- A new algorithm for topology optimization using a level-set method
- A nodal variable method of structural topology optimization based on Shepard interpolant
- Structural shape and topology optimization using a meshless Galerkin level set method
- A new efficient convergence criterion for reducing computational expense in topology optimization: reducible design variable method
- Explicit level-set-based topology optimization using an exact Heaviside function and consistent sensitivity analysis
- Improving multiresolution topology optimization via multiple discretizations
- Howard's algorithm in a phase-field topology optimization approach
- A level set approach for topology optimization with local stress constraints
- A consistent grayscale-free topology optimization method using the level-set method and zero-level boundary tracking mesh
- A structural optimization method based on the level set method using a new geometry-based re-initialization scheme
- Continuous approximation of material distribution for topology optimization
- An enhanced genetic algorithm for structural topology optimization
- Topology optimization by a neighbourhood search method based on efficient sensitivity calculations
- Reducing dimensionality in topology optimization using adaptive design variable fields
- Polygonal finite elements for topology optimization: A unifying paradigm
- A level set method for shape and topology optimization of large-displacement compliant mechanisms
- A level set-based parameterization method for structural shape and topology optimization
- An element removal and reintroduction strategy for the topology optimization of structures and compliant mechanisms
- Bilateral filtering for structural topology optimization
- Large scale structural optimization: Computational methods and optimization algorithms.
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