Sensitivity of the macroscopic elasticity tensor to topological microstructural changes

DOI10.1016/j.jmps.2008.11.008zbMath1170.74372OpenAlexW1996943444MaRDI QIDQ835876

Antonio André Novotny, Eduardo Alberto De Souza Neto, Sebastián M. Giusti, Raúl Antonino Feijóo

Publication date: 31 August 2009

Published in: Journal of the Mechanics and Physics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmps.2008.11.008

zbMATH Keywords

elasticity tensorsensitivity analysistopological derivativemulti-scale modellinghomogenizedsynthesis of microstructures

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05) Micromechanics of solids (74M25) Effective constitutive equations in solid mechanics (74Q15)

Related Items (13)

On micro-to-macro transitions for multi-scale analysis of non-linear heterogeneous materials: unified variational basis and finite element implementation ⋮ Homogenized couple stress model of optimal auxetic microstructures computed by topology optimization ⋮ Reconstruction and stability analysis of potential appearing in time‐fractional subdiffusion ⋮ Emergence of elastostatic strain-gradient effects from topological optimization ⋮ A mortar based approach for the enforcement of periodic boundary conditions on arbitrarily generated meshes ⋮ An adaptive sub-incremental strategy for the solution of homogenization-based multi-scale problems ⋮ Topological derivatives of shape functionals. II: First-order method and applications ⋮ Topological sensitivity analysis of a multi-scale constitutive model considering a cracked microstructure ⋮ Remarks on symmetry conditions in computational homogenisation problems ⋮ Topological derivative for multi-scale linear elasticity models applied to the synthesis of microstructures ⋮ Sensitivity of the second order homogenized elasticity tensor to topological microstructural changes ⋮ Topological sensitivity analysis in heterogeneous anisotropic elasticity problem. Theoretical and computational aspects ⋮ On topological derivatives for contact problems in elasticity

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