A nonlinear elastic plate model of moderate thickness: Existence, uniqueness and duality

DOI10.1007/BF00041792zbMath0876.73036OpenAlexW2153156644MaRDI QIDQ1357188

Józef Joachim Telega, Włodzimierz Robert Bielski

Publication date: 2 December 1997

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

Full work available at URL: https://doi.org/10.1007/bf00041792

zbMATH Keywords

dual problemminimax approachtransverse shear deformationsLagrangian approachsmall loadings

Mathematics Subject Classification ID

Plates (74K20)

Related Items (2)

Full weak uniqueness in anisotropic time-dependent Mindlin theory for plates ⋮ Existence of solutions to obstacle problems for linear and nonlinear elastic plates.

Cites Work

• A refined nonlinear theory of plates with transverse shear deformation
• A general nonlinear third-order theory of plates with moderate thickness
• Les equations de von Kármán
• Null Lagrangians, weak continuity, and variational problems of arbitrary order
• On refined plate models based on kinematical assumptions
• A Higher Order Shear Deformation Theory for the Vibration of Thick Plates
• Micropolar Flow past a Slightly Deformed Fluid Sphere
• Direct methods in the calculus of variations
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