An algorithm for the topology optimization of geometrically nonlinear structures
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Publication:2952527
DOI10.1002/nme.4686zbMath1352.74242OpenAlexW2147424359MaRDI QIDQ2952527
Francisco A. M. Gomes, Thadeu A. Senne
Publication date: 30 December 2016
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.4686
Numerical mathematical programming methods (65K05) Applications of mathematical programming (90C90) Topological methods for optimization problems in solid mechanics (74P15)
Related Items (6)
Topology optimization and geometric nonlinear modeling using positional finite elements ⋮ Inexact Newton method with iterative combined approximations in the topology optimization of geometrically nonlinear elastic structures and compliant mechanisms ⋮ A new geometrically nonlinear topology optimization formulation for controlling maximum displacement ⋮ Explicit structural topology optimization under finite deformation via moving morphable void (MMV) approach ⋮ A new variational approach for the thermodynamic topology optimization of hyperelastic structures ⋮ On the approximate reanalysis technique in topology optimization
Uses Software
Cites Work
- A level-set based topology optimization using the element connectivity parameterization method
- First-order sequential convex programming using approximate diagonal QP subproblems
- Towards the stabilization of the low density elements in topology optimization with large deformation
- An SLP algorithm and its application to topology optimization
- Convexity conditions and existence theorems in nonlinear elasticity
- An incremental approach to the solution of snapping and buckling problems
- Design optimization method for compliant mechanisms and material microstructure
- Distributed-parameter optimization and topology design for nonlinear thermoelasticity
- Nonlinear programming algorithms using trust regions and augmented Lagrangians with nonmonotone penalty parameters.
- Structural boundary design via level set and immersed interface methods
- Topology optimization using nonlinear finite elements and control-point-based parametrization
- On the use of piecewise linear models in nonlinear programming
- Discrete approximations related to nonlinear theories of solids
- A Class of Globally Convergent Optimization Methods Based on Conservative Convex Separable Approximations
- Approximate reanalysis in topology optimization
- A quadratic approximation for structural topology optimization
- A level set method for shape and topology optimization of large-displacement compliant mechanisms
- The method of moving asymptotes—a new method for structural optimization
- Incremental displacement algorithms for nonlinear problems
- A fast incremental/iterative solution procedure that handles “snap-through”
- Topology optimization of compliant mechanisms using the homogenization method
- An element removal and reintroduction strategy for the topology optimization of structures and compliant mechanisms
- Very large scale optimization by sequential convex programming
- Numerical methods for the topology optimization of structures that exhibit snap-through
- Achieving minimum length scale in topology optimization using nodal design variables and projection functions
- Topology optimization of nonlinear elastic structures and compliant mechanisms
- Global convergence of a nonlinear programming method using convex approximations
- Benchmarking optimization software with performance profiles.
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