Homogenization and optimal design of an elastic material reinforced by means of quasi-periodic fibres of higher rigidity

DOI10.1016/j.mcm.2007.02.004zbMath1135.74040OpenAlexW2011604223MaRDI QIDQ2427099

Alain Brillard, Mustapha El Jarroudi

Publication date: 8 May 2008

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2007.02.004

zbMATH Keywords

gamma-convergencetwo-scale convergence

Mathematics Subject Classification ID

Effective constitutive equations in solid mechanics (74Q15) Composite and mixture properties (74E30) Homogenization in equilibrium problems of solid mechanics (74Q05) Homogenization in context of PDEs; PDEs in media with periodic structure (35B27)

Related Items (4)

Homogenization of elastic materials reinforced by rigid notched fibres ⋮ Homogenization of an elastic material reinforced with thin rigid von Kármán ribbons ⋮ Homogenization of a nonlinear elastic fibre-reinforced composite: a second gradient nonlinear elastic material ⋮ Homogenization of rectangular cross-section fibre-reinforced materials: bending-torsion effects

Cites Work

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• Optimal quasiperiodic design for a heat transfer problem
• Homogenization of a nonlinear elastic structure periodically reinforced along identical fibres of high rigidity
• An introduction to \(\Gamma\)-convergence
• A second gradient material resulting from the homogenization of an heterogeneous linear elastic medium
• Asymptotic behaviour of a cylindrical elastic structure periodically reinforced along identical fibres
• Three models of non periodic fibrous materials obtained by homogenization

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