Homogenization of a nonlinear elastic structure periodically reinforced along identical fibres of high rigidity

DOI10.1016/j.nonrwa.2005.07.004zbMath1106.74050OpenAlexW2048399518MaRDI QIDQ864229

Mustapha El Jarroudi, Alain Brillard

Publication date: 13 February 2007

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2005.07.004

zbMATH Keywords

nonlinear elasticityepi-convergencereinforcementfibresSaint Venant--Kirchhoff material

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) 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 (5)

Asymptotic analysis of deformation behavior in high-contrast fiber-reinforced materials: Rigidity and anisotropy ⋮ Homogenization and optimal design of an elastic material reinforced by means of quasi-periodic fibres of higher rigidity ⋮ 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 ⋮ On static and evolutionary homogenization in crystal plasticity for stratified composites

Cites Work

• Homogenization of nonconvex integral functionals and cellular elastic materials
• 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
• An extension theorem from connected sets, and homogenization in general periodic domains
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