On refined plate models based on kinematical assumptions

DOI10.1007/BF00541387zbMath0604.73057MaRDI QIDQ3741198

Tomasz Lewiński

Publication date: 1987

Published in: Ingenieur-Archiv (Search for Journal in Brave)

zbMATH Keywords

energy-consistent modelenergy-inconsistentJemielita's kinematical hypothesisthick, elastic, isotropic plates

Mathematics Subject Classification ID

Plates (74K20) Theory of constitutive functions in solid mechanics (74A20)

Related Items (8)

A nonlinear elastic plate model of moderate thickness: Existence, uniqueness and duality ⋮ A relook at Reissner's theory of plates in bending ⋮ Modified Kirchhoff's theory of plates including transverse shear deformations ⋮ FEM analysis of Cosserat plates and shells based on some constitutive relations ⋮ On displacement-based theories of sandwich plates with soft core ⋮ On vibration and buckling of symmetric laminated plates according to shear deformation theories. I ⋮ Comparison of various linear plate theories in the light of a consistent second-order approximation ⋮ Existence of solutions to obstacle problems for linear and nonlinear elastic plates.

Cites Work

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• A refined nonlinear theory of plates with transverse shear deformation
• Decaying states of plane strain in a semi-infinite strip and boundary conditions for plate theory
• An accurate, simple theory of the statics and dynamics of elastic plates
• On transverse bending of plates, including the effect of transverse shear deformation
• An asymptotic theory for vibrating plates
• Eine systematische Herleitung verbesserter Plattengleichungen
• Zum Randwertproblem der schwingenden schubelastischen Platte
• On a certain mixed variational theorem and a proposed application
• A Twelvth Order Theory of Transverse Bending of Transversely Isotropic Plates
• A High-Order Theory of Plate Deformation—Part 1: Homogeneous Plates
• Methods of refining the classical theory of bending and extension of plates
• A bound on the error in plate theory
• [https://portal.mardi4nfdi.de/wiki/Publication:5785861 �ber die Ber�cksichtigung der Schubverzerrung in ebenen Platten]
• On a Variational Theorem in Elasticity
• Verallgemeinerte Theorie der Plattenstatik
• On the Theory of Bending of Elastic Plates

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