Optimization of bodies with locally periodic microstructure by varying the periodicity pattern

DOI10.3934/nhm.2014.9.433zbMath1305.74068OpenAlexW2078922022MaRDI QIDQ480083

Cristian Barbarosie, Anca-Maria Toader

Publication date: 8 December 2014

Published in: Networks and Heterogeneous Media (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/nhm.2014.9.433

zbMATH Keywords

parallel computationshape optimizationfunctionally graded materialstopology optimizationalternate directions algorithmcellular problemlocally periodic homogenizationperiodicity optimization

Mathematics Subject Classification ID

Homogenization in equilibrium problems of solid mechanics (74Q05) Optimization of shapes other than minimal surfaces (49Q10) Analysis of microstructure in solids (74N15) Inverse problems in optimal control (49N45)

Related Items (5)

Locally Periodic Unfolding Method and Two-Scale Convergence on Surfaces of Locally Periodic Microstructures ⋮ Coupled optimization of macroscopic structures and lattice infill ⋮ Two-Scale Elastic Shape Optimization for Additive Manufacturing ⋮ MFSE-based two-scale concurrent topology optimization with connectable multiple micro materials ⋮ Homogenization of frame lattices leading to second gradient models coupling classical strain and strain-gradient terms

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• Efficient Two-Scale Optimization of Manufacturable Graded Structures
• Shape optimization by the homogenization method

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