ASYMPTOTIC BEHAVIOR OF STRUCTURES MADE OF PLATES

DOI10.1142/S0219530505000613zbMath1111.74029arXiv1109.1903MaRDI QIDQ5711098

Georges Griso

Publication date: 9 December 2005

Published in: Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.1903

zbMATH Keywords

junctionslinear elasticityplatesunfolding method

Mathematics Subject Classification ID

Analytic approximation of solutions (perturbation methods, asymptotic methods, series, etc.) of equilibrium problems in solid mechanics (74G10) Plates (74K20) Homogenization in equilibrium problems of solid mechanics (74Q05)

Related Items (24)

Decomposition of shell deformations - asymptotic behavior of the Green-St Venant strain tensor ⋮ Junction between a plate and a rod of comparable thickness in nonlinear elasticity ⋮ Straight rod with different order of thickness ⋮ On the general homogenization of von Kármán plate equations from three-dimensional nonlinear elasticity ⋮ Junction of a periodic family of elastic rods with a thin plate. II. ⋮ Homogenization of periodically heterogeneous thin beams ⋮ Asymptotic behavior of a structure made by a plate and a straight rod ⋮ On the simultaneous homogenization and dimension reduction in elasticity and locality of \(\varGamma\)-closure ⋮ Korn inequalities for a reinforced plate ⋮ Asymptotic behavior of structures made of straight rods ⋮ Decomposition of plate displacements via Kirchhoff–Love displacements ⋮ Asymptotic behavior of a plate with a non-planar top surface ⋮ ASYMPTOTIC BEHAVIOR OF STRUCTURES MADE OF CURVED RODS ⋮ A new linear shell model for shells with little regularity ⋮ Rigorous derivation of a linear sixth-order thin-film equation as a reduced model for thin fluid-thin structure interaction problems ⋮ A review on rigorous derivation of reduced models for fluid-structure interaction systems ⋮ Derivation of homogenized Euler-Lagrange equations for von Kármán rods ⋮ Decompositions of displacements of thin structures ⋮ The uniform Korn-Poincaré inequality in thin domains ⋮ Decomposition of the deformations of a thin shell. Asymptotic behavior of the Green-St Venant's strain tensor ⋮ Solutions of the von Kàrmàn equations via the non-variational Galerkin-B-spline approach ⋮ Derivation of plate equations by the unfolding method applied to the three-dimensional equations ⋮ Spectral and evolution analysis of composite elastic plates with high contrast ⋮ Asymptotic analysis of a junction of hyperelastic rods

Cites Work

• Modeling of a folded plate
• Periodic unfolding and homogenization
• Asymptotic behavior of structures made of plates
• Asymptotic behaviour of curved rods by the unfolding method
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