Stochastic topology design optimization for continuous elastic materials

DOI10.1016/j.cma.2015.02.003zbMath1423.74727OpenAlexW2056753174MaRDI QIDQ1737004

Miguel Carrasco, Benjamin Ivorra, Angel Manuel Ramos

Publication date: 26 March 2019

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://eprints.ucm.es/id/eprint/28198/1/4431.pdf

zbMATH Keywords

stochastic programmingfinite element methodstructural optimizationtopology optimization

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Finite element methods applied to problems in solid mechanics (74S05) Topological methods for optimization problems in solid mechanics (74P15) Compliance or weight optimization in solid mechanics (74P05) PDEs in connection with mechanics of deformable solids (35Q74) Stochastic and other probabilistic methods applied to problems in solid mechanics (74S60)

Related Items (9)

Robust topology optimization of continuum structures with loading uncertainty using a perturbation method ⋮ A multi-layer line search method to improve the initialization of optimization algorithms ⋮ Robust shape optimization of continuous structures via the level set method ⋮ Topology Optimization for Incremental Elastoplasticity: A Phase-Field Approach ⋮ Large-scale stochastic topology optimization using adaptive mesh refinement and coarsening through a two-level parallelization scheme ⋮ Topology optimization benchmarks in 2D: results for minimum compliance and minimum volume in planar stress problems ⋮ Large-scale robust topology optimization using multi-GPU systems ⋮ Risk-averse structural topology optimization under random fields using stochastic expansion methods ⋮ Modelling and optimization applied to the design of fast hydrodynamic focusing microfluidic mixer for protein folding

Uses Software

• top.m

Cites Work

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• Level set based robust shape and topology optimization under random field uncertainties
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• Minimization of the expected compliance as an alternative approach to multiload truss optimization
• Robust topology optimization under loading uncertainty based on linear elastic theory and orthogonal diagonalization of symmetric matrices
• Optimization strategies in credit portfolio management
• A variance-expected compliance model for structural optimization
• Structural optimization under uncertain loads and nodal locations
• Semi-deterministic and genetic algorithms for global optimization of microfluidic protein-folding devices
• Shape Optimization Under Uncertainty—A Stochastic Programming Perspective

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