The derivation of a thick and thin plate formulation without ad hoc assumptions

DOI10.1007/BF00044515zbMath0781.73040OpenAlexW2049068252MaRDI QIDQ1205207

Reinhard Piltner

Publication date: 1 April 1993

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

Full work available at URL: https://doi.org/10.1007/bf00044515

zbMATH Keywords

bendingisotropic materialsstretchinghomogeneous and nonhomogeneous boundary conditionsthree-dimensional elasticity solution representations

Mathematics Subject Classification ID

Plates (74K20)

Related Items (5)

Overview about Solution Representations for Elasticity Problems and Some Selected Particular Solutions ⋮ Thermoelasticity theory and the decomposed form of thick plates for extensional deformation ⋮ A 2-D model that accounts for 3-D fringing in MEMS devices ⋮ Some remarks on Trefftz type approximations ⋮ A mixed finite element for plate bending with eight enhanced strain modes

Cites Work

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• Special finite elements with holes and internal cracks
• A High-Order Theory of Plate Deformation—Part 1: Homogeneous Plates
• An exact analysis for vibration of simply-supported homogeneous and laminated thick rectangular plates
• A boundary element algorithm using compatible boundary displacements and tractions
• [https://portal.mardi4nfdi.de/wiki/Publication:5785861 �ber die Ber�cksichtigung der Schubverzerrung in ebenen Platten]
• On bending of elastic plates

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