Shape and topology optimization for periodic problems. I: The shape and the topological derivative

DOI10.1007/s00158-009-0378-0zbMath1274.74314OpenAlexW2333053272MaRDI QIDQ381388

Anca-Maria Toader, Cristian Barbarosie

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/s00158-009-0378-0

zbMATH Keywords

porous materialsperiodic homogenizationshape derivativetopological derivativeoptimization of microstructures

Mathematics Subject Classification ID

Optimization of shapes other than minimal surfaces (49Q10) Topological methods for optimization problems in solid mechanics (74P15)

Related Items (9)

Scalable topology optimization with the kernel-independent fast multipole method ⋮ Fast topological-shape optimization with boundary elements in two dimensions ⋮ A gradient-type algorithm for constrained optimization with application to microstructure optimization ⋮ Shape and topology optimization for periodic problems. II: Optimization algorithm and numerical examples ⋮ Comments on ``Shape and topology optimization for periodic problems. I: The shape and the topological derivative ⋮ Two-Stage Stochastic Optimization Meets Two-Scale Simulation ⋮ Optimal boundary holes for the Sobolev trace constant ⋮ Optimization of bodies with locally periodic microstructure by varying the periodicity pattern ⋮ A posteriori error estimates for sequential laminates in shape optimization

Cites Work

• Shape optimization of periodic structures
• Structural optimization using sensitivity analysis and a level-set method.
• The Topological Asymptotic for PDE Systems: The Elasticity Case
• Homogenization and Two-Scale Convergence
• Unnamed Item

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