On the Foundations of the Theory of Thin Elastic Shells

DOI10.1002/sapm1958371371zbMath0086.18103OpenAlexW2334930656MaRDI QIDQ3258781

Millard W. jun. Johnson, Eric Reissner

Publication date: 1959

Published in: Journal of Mathematics and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/sapm1958371371

zbMATH Keywords

mechanics of solids

Related Items

Methods for justifying and refining the theory of shells (Survey of recent results) ⋮ An Asymptotic Dynamic Theory for Cylindrical Shells ⋮ On shells of revolution with the Love-Kirchhoff hypotheses ⋮ New variational-asymptotic formulations for 3-D stress analyses of laminated composite shells with a circular hole ⋮ Generalized Kirchhoff-Love assumptions for thick shells: Application to thermal stresses in rectilinear tubes ⋮ Boundary layer and its interaction with the interior state of stress of an elastic thin shell ⋮ Asymptotic Expansions and Influence Coefficients for Edge-Loaded Conical Shells ⋮ Equivalent-single-layer discontinuous Galerkin methods for static analysis of multilayered shells ⋮ Reissnerian algorithms of the first kind in the theory of cylindric shells ⋮ On Asymptotic Expansions and Error Bounds in the Derivation of Two-Dimensional Shell Theory ⋮ A comparative study of elasticity, shell and boundary layer solutions applied to axially compressed cylinders ⋮ A three-dimensional asymptotic analysis of anisotropic inhomogeneous and laminated cylindrical shells ⋮ A boundary layer theory for the end problem of a circular cylinder ⋮ An asymptotic theory for the motion of elastic plates ⋮ Asymptotic theories for the unsymmetric vibrations of cylindrical shells. I: Derivation. II: Application ⋮ An asymptotic theory for the vibration of non-homogeneous plates ⋮ Particle modelling of an elastic arch in three dimensions