A new model for thin plates with rapidly varying thickness. III. Comparison of different scalings
From MaRDI portal
Publication:3742834
DOI10.1090/qam/840441zbMath0605.73048OpenAlexW26590304MaRDI QIDQ3742834
Robert V. Kohn, Michael S. Vogelius
Publication date: 1986
Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/qam/840441
bendingslow variationvarying thicknessfast variationsame scale as the mean thicknessset of dual variational principlessymmetric plates
Related Items (19)
Asymptotic analysis of linearly elastic shells. I: Justification of membrane shell equations ⋮ Optimal boundary conditions for the Navier-Stokes fluid in a bounded domain with a thin layer ⋮ ON THE ZERO THICKNESS LIMIT OF THIN FERROMAGNETIC FILMS WITH SURFACE ANISOTROPY ENERGY ⋮ Micromechanical modeling of piezo-magneto-thermo-elastic composite structures. Part II: Applications ⋮ A mathematical model for turbulent transport through thin randomly oscillating layers surrounding a fixed domain ⋮ Dynamic modeling and determination of effective properties of smart composite plates with rapidly varying thickness ⋮ Generating optimal topologies in structural design using a homogenization method ⋮ Geometrically non‐linear elastic model for a thin composite layer with wavy surfaces ⋮ Plane stress analysis of magnetoelectric composite and reinforced plates: Applications to wafer‐ and rib‐reinforced plates and three‐layered honeycomb shells ⋮ On the rate of convergence for perforated plates with a small interior Dirichlet zone ⋮ Epi-limit on HB and homogenization of heterogeneous plastic plates ⋮ Variational principles for stiffness of a non-homogeneous plate ⋮ The effect of different scalings in the modelling of nonlinearly elastic plates with rapidly varying thickness ⋮ Modeling and optimization of non-symmetric plates ⋮ Homogenization and effective properties of plates weakened by partially penetrating fissures: Asymptotic analysis ⋮ Dynamics of a reinforced viscoelastic plate ⋮ Average of the Navier's law on the rapidly oscillating boundary ⋮ On the rate of convergence of solutions in domain with periodic multilevel oscillating boundary ⋮ Asymptotics of the solution of the problem of deformation of an arbitrary locally periodic thin plate
This page was built for publication: A new model for thin plates with rapidly varying thickness. III. Comparison of different scalings
