Optimality criteria method in 2D linearized elasticity problems

DOI10.1016/j.apnum.2020.10.002zbMath1457.74161OpenAlexW3092112698MaRDI QIDQ2227685

Marko Vrdoljak, Krešimir Burazin, Ivana Crnjac

Publication date: 15 February 2021

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apnum.2020.10.002

zbMATH Keywords

linearized elasticitycompliance optimizationHashin-Shtrikman bound

Mathematics Subject Classification ID

Linear elasticity with initial stresses (74B10) Bounds on effective properties in solid mechanics (74Q20) Composite and mixture properties (74E30) Compliance or weight optimization in solid mechanics (74P05)

Uses Software

• deal.ii

Cites Work

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• On Hashin-Shtrikman bounds for mixtures of two isotropic materials
• Homogenization and optimal bounds in linear elasticity
• Structural optimization. Vol. 1: Optimality criteria
• Optimal bounds for the effective energy of a mixture of isotropic, incompressible, elastic materials
• Variational bounds on the effective moduli of anisotropic composites
• Approximate structural reanalysis based on series expansion
• Variant of optimality criteria method for multiple state optimal design problems
• Convergence of the optimality criteria method for multiple state optimal design problems
• The deal.II library, version 8.5
• Numerical Approximation of a One-Dimensional Elliptic Optimal Design Problem
• Optimal Bounds and Microgeometries for Elastic Two-Phase Composites
• Explicit optimal bounds on the elastic energy of a two-phase composite in two space dimensions
• Optimal lower bounds on the elastic energy of a composite made from two non-well-ordered isotropic materials
• Shape optimization by the homogenization method

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