On shells of revolution with the Love-Kirchhoff hypotheses
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Publication:1118444
DOI10.1007/BF00058512zbMath0668.73035MaRDI QIDQ1118444
Frederic Y. M. Wan, Hubertus J. Weinitschke
Publication date: 1988
Published in: Journal of Engineering Mathematics (Search for Journal in Brave)
review articleGünther-Reissner formulation of the linear theoryMarguerre's shallow shell theoryReissner's geometrically nonlinear theorystatic-geometric duality
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Cites Work
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- Decaying states of plane strain in a semi-infinite strip and boundary conditions for plate theory
- Asymptotic solutions of steadily spinning shallow shells of revolution under uniform pressure
- Asymptotic forms of a simplified version of the nonlinear Reissner equations for clamped elastic spherical caps under outward pressure
- On plate theories and Saint-Venant's principle
- An investigation of the complete post-buckling behavior of axisymmetric spherical shells
- Finite displacements of annular elastic membranes
- Boundary layer solutions for some nonlinear elastic membrane problems
- On large axisymmetrical deflection states of spherical shells
- Rigorous expunction of Poisson's ratio from the Reissner-Meissner equations
- On the imperfection sensitivity of complete spherical shells
- Nonlinear boundary value problems for the annular membrane: A note on uniqueness of positive solutions
- On the calculation of limit and bifurcation points in stability problems of elastic shells
- A note on stress strain relations of the linear theory of shells
- The plane circular elastic surface under normal pressure
- Non-linear boundary values problems for the circular membrane
- Circumferentially sinusoidal stress and strain in shells of revolution
- On torsion of thin cylindrical shells
- Large deflections of axisymmetric circular membranes
- Non-linear bending of a circular plate under normal pressure
- Non-linear buckling of circular elastic plates
- A Power Series Solution of the Nonlinear Equations for Axi-Symmetrical Bending of Shallow Spherical Shells
- Iterative solutions for the non-linear bending of circular plates
- On the Foundations of the Theory of Thin Elastic Shells
- The effect of transverse shear deformation on the bending of elastic shells of revolution
- Die Analogie zwischen den Verschiebungen und den Spannungsfunktionen in der Biegetheorie der Kreiszylinderschale
- The edge effect in symmetric bending of shallow shells of revolution
- A boundary-layer theory for elastic plates
- Analoge Systeme von Schalengleichungen
- Finite Polar Dimpling of Shallow Caps Under Sub-Buckling Axisymmetric Pressure Distributions
- On the Boundary Value Problem for Systems of Ordinary Second Order Differential Equations with a Singularity of the First Kind
- Asymptotic Solutions of the Von Karman Equations for a Circular Plate Under a Concentrated Load
- Nonlinear Elastic Shell Theory
- On finite displacements of circular elastic membranes
- Asymptotic solutions for finite deformation of thin shells of revolution with a small circular hole
- Non-linear boundary value problems for the annular membrane: New results on existence of positive solutions
- Positive Solutions of Annular Elastic Membrane Problems with Finite Rotations
- On Uniqueness of Axisymmetric Deformations of Elastic Plates and Shells
- The Interior Solution for Linear Problems of Elastic Plates
- On the system of differential equations of equilibrium of shells of revolution under bending loads
- A Note on Multiple Asymptotic Series
- The axisymmetric branching behavior of complete spherical shells
- Existence theorems for some boundary value problems in the nonlinear theory of annular elastic membranes
- Stable and Unstable Axisymmetric Solutions for Membranes of Revolution
- Lateral Bending and Twisting of Thin‐Walled Curved Tubes
- Nonlinear Bending of Circular Plates
- A UNIQUENESS THEOREM FOR THE NONLINEAR AXISYMMETRIC BENDING OF CIRCULAR PLATES
- On the Stability Problem for Shallow Spherical Shells
- Imperfection Sensitivity of Externally Pressurized Spherical Shells
- Existence of buckled states of circular plates
- Two Variational Theorems for Thin Shells
- On Finite Symmetrical Deflections of Thin Shells of Revolution
- Rotationally Symmetric Stress and Strain in Shells of Revolution
- Exact Reductions of the Equations of Linear Theory of Shells of Revolution
- The Side-Force Problem for Shallow Helicoidal Shells
- On the Equations of the Linear Theory of Elastic Conical Shells
- On the Derivation of Two‐Dimensional Shell Equations from Three‐Dimensional Elasticity Theory
- Membrane buckling: A study of solution multiplicity
- Rotationally Symmetric Shearing and Bending of Helicoidal Shells
- On consistent first approximations in the general linear theory of thin elastic shells
- Nonlinear Shell Theory With Finite Rotation and Stress-Function Vectors
- Unsymmetric wrinkling of circular plates
- Laterally loaded elastic shells of revolution
- On the nonlinear theory of elastic shells under the Kirchhoff hypothesis
- A Boundary Layer Theory for Unsymmetric Deformations of Circular Cylindrical Elastic Shells
- The Non-Linear Boundary Value Problem of the Buckled Plate
- On the Theory of Thin Elastic Toroidal Shells
- Non-linear theory of curved elastic sheets