Nonlinear boundary conditions in Kirchhoff-Love plate theory

DOI10.1007/s10659-009-9198-0zbMath1273.74172OpenAlexW1988750508MaRDI QIDQ834640

Gérard Michaille, Oana Iosifescu, Christian Licht

Publication date: 27 August 2009

Published in: Journal of Elasticity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10659-009-9198-0

zbMATH Keywords

variational convergenceasymptotic kinematicsTrotter theory

Mathematics Subject Classification ID

Plates (74K20) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (5)

Nonlinear boundary conditions in Kirchhoff-Love plate theory ⋮ Transient response of a thin linearly elastic plate with Norton or Tresca friction ⋮ Dynamics of elastic bodies connected by a thin soft viscoelastic layer ⋮ Asymptotic modeling of the transient response of nonlinear Kelvin-Voigt viscoelastic thin plates with Norton or Tresca friction by Trotter theory. ⋮ Dynamics of two linearly elastic bodies connected by a heavy thin soft viscoelastic layer

Cites Work

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• Quasiconvexity at the boundary, positivity of the second variation and elastic stability
• Nonlinear boundary conditions in Kirchhoff-Love plate theory
• Non-homogeneous media and vibration theory
• Convex analysis and measurable multifunctions
• On the inadequacy of the scaling of linear elasticity for 3D-2D asymptotics in a nonlinear setting
• Asymptotic modeling of assemblies of thin linearly elastic plates
• Variational Analysis in Sobolev andBVSpaces

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