First Integrals and the Residual Solution for Orthotropic Plates in Plane Strain or Axisymmetric Deformations

DOI10.1002/sapm198879293zbMath0655.73030OpenAlexW2151718813MaRDI QIDQ3802728

Frederic Y. M. Wan, Yihan Lin

Publication date: 1988

Published in: Studies in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/sapm198879293

zbMATH Keywords

plane strainorthotropic platesaxisymmetric deformationsclasses of exact solutionsanalogue of Lévy solutionequations of three-dimensional linear orthotropic elasticityisotropic rectangular stripsPapkovich-Fadle eigenfunction solutionsset of exact necessary conditions for residual stateset of first integrals

Mathematics Subject Classification ID

Anisotropy in solid mechanics (74E10) Plates (74K20)

Related Items

Semi infinite Orthotropic Cantilevered Strips and the Foundations of Plate Theories, Boundary conditions for plate bending in one-dimensional hexagonal quasicrystals, The decomposed form and boundary conditions of elastic beams with free faces, The general form of the three-dimensional elastic field inside an isotropic plate with free faces, The appropriate edge conditions for two-dimensional quasicrystal semi-infinite strips with mixed edge-data, A higher-order asymptotic analysis for orthotropic plates in stress edge conditions, On Torsion of Prismatic Bodies, Boundary conditions at the edge of a thin or thick plate bonded to an elastic support

Cites Work

• Decaying states of plane strain in a semi-infinite strip and boundary conditions for plate theory
• On plate theories and Saint-Venant's principle
• The traction boundary value problem for the elastostatic semi-infinite strip; existence of solution, and completeness of the Papkovich-Fadle eigenfunctions
• A boundary-layer theory for elastic plates
• On the theory of plane stress
• The Interior Solution for Linear Problems of Elastic Plates
• On the derivation of boundary conditions for plate theory
• Symmetric Bending of Thick Circular Plates