The decomposed form and boundary conditions of elastic beams with free faces

DOI10.1007/s00707-007-0481-5zbMath1397.74114OpenAlexW2104222911MaRDI QIDQ932004

B. E. Eshmatov

Publication date: 8 July 2008

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

Full work available at URL: https://doi.org/10.1007/s00707-007-0481-5

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Explicit solutions of equilibrium problems in solid mechanics (74G05)

Cites Work

• Unnamed Item
• Decaying states of plane strain in a semi-infinite strip and boundary conditions for plate theory
• The equivalence of the refined theory and the decomposition theorem of rectangular beams
• On plate theories and Saint-Venant's principle
• The semiinfinite strip \(x\geq 0,-1\leq y\leq 1\); completeness of the Papkovich-Fadle eigenfunctions when \(\phi_{xx}(0,y)\), \(_ y(0,y)\) are prescribed
• The traction boundary value problem for the elastostatic semi-infinite strip; existence of solution, and completeness of the Papkovich-Fadle eigenfunctions
• The general form of the three-dimensional elastic field inside an isotropic plate with free faces
• Stress boundary conditions for plate bending.
• The decomposed form of the three-dimensional elastic plate
• The decomposed form of magnetoelastic beams with free faces
• Boundary conditions for elastic beam bending
• The refined theory of deep rectangular beams based on general solutions of elasticity
• A refined beam theory based on the refined plate theory
• First Integrals and the Residual Solution for Orthotropic Plates in Plane Strain or Axisymmetric Deformations
• The Interior Solution for Linear Problems of Elastic Plates
• A new rectangular beam theory