Boundary layer and its interaction with the interior state of stress of an elastic thin shell

DOI10.1016/0021-8928(69)90005-7zbMath0223.73054OpenAlexW1521390158MaRDI QIDQ5629314

A. L. Gol'denvejzer

Publication date: 1969

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

Full work available at URL: https://doi.org/10.1016/0021-8928(69)90005-7

Mathematics Subject Classification ID

Membranes (74K15)

Related Items (10)

Asymptotically correct boundary conditions for the higher-order theory of plate bending ⋮ Algorithms of the asymptotic construction of linear two-dimensional thin shell theory and the St.-Venant principle ⋮ Hybrid asymptotic-direct approach to the problem of finite vibrations of a curved layered strip ⋮ Internal and boundary calculations of thin elastic bodies ⋮ On elementary theories of linear elastic beams, plates and shells (Review paper) ⋮ Asymptotic analysis of boundary and initial conditions in the dynamics of thin plates ⋮ Asymptotic splitting in the three-dimensional problem of elasticity for non-homogeneous piezoelectric plates ⋮ Two-dimensional linear model of elastic shell accounting for general anisotropy of material ⋮ Three-dimensional analysis of an antiparallel piezoelectric bimorph ⋮ Three-dimensional thermomechanical deformations of functionally graded rectangular plates

Cites Work

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• On the Foundations of the Theory of Thin Elastic Shells
• A theory for the small rotationally symmetric deformations of cylindrical shells
• Derivation of an approximate theory of shells by means of asymptotic integration of the equations of the theory of elasticity
• The state of stress in a thin plate
• Methods of refining the classical theory of bending and extension of plates
• On necessary and sufficient conditions for the existence of decaying solutions of the plane problem of the theory of elasticity for a semistrip
• On the linear theory of thin elastic shells
• Derivation of an approximate theory of bending of a plate by the method of asymptotic integration of the equations of the theory of elasticity

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