A consistent deduction of von Kármán-type plate theories from three-dimensional nonlinear continuum mechanics

DOI10.1007/BF01182348zbMath1002.74060MaRDI QIDQ5942638

Holm Altenbach, J. Meenen

Publication date: 9 September 2001

Published in: Acta Mechanica (Search for Journal in Brave)

zbMATH Keywords

series representationGreen's strain tensorkinematical variablesprinciple of virtual displacementssecond Piola-Kirchhoff stress tensorthree-dimensional nonlinear continuum mechanicsvon Kármán-type plate theories

Mathematics Subject Classification ID

Plates (74K20)

Related Items (6)

Analysis Of Homogeneous And Non-Homogeneous Plates ⋮ On the elastostatics of thin periodic plates with large deflections ⋮ Nonlinear large deformation problem of rectangular thin plates and its perturbation solution under cylindrical bending: Transform from plate/membrane to beam/cable ⋮ Nonlinear dynamics of rectangular plates: investigation of modal interaction in free and forced vibrations ⋮ On the Different Possibilities to Derive Plate and Shell Theories ⋮ On the Theories of Plates and Shells at the Nanoscale

Cites Work

• Unnamed Item
• An accurate, simple theory of the statics and dynamics of elastic plates
• Nonlinear flexural vibrations of layered plates
• A Simple Higher-Order Theory for Laminated Composite Plates
• Kontinuumsmechanik
• A High-Order Theory of Plate Deformation—Part 1: Homogeneous Plates
• Shear Deformation in Heterogeneous Anisotropic Plates
• [https://portal.mardi4nfdi.de/wiki/Publication:5785861 �ber die Ber�cksichtigung der Schubverzerrung in ebenen Platten]
• On bending of elastic plates
• On the Theory of Bending of Elastic Plates

This page was built for publication: A consistent deduction of von Kármán-type plate theories from three-dimensional nonlinear continuum mechanics