论文信息 - On the foundations of the theory of elastic shells

On the foundations of the theory of elastic shells

The foundation problem of the theory of thin elastic shells is the formulation of a two-dimensional system of differential equations and boundary conditions for a rational approximate determination of stresses and deformations in three-dimensional elastic bodies of the form of a (thin) elastic layer surrounding a surface in space, the middle surface of the shell.

E. Reissner | E. Reissner

[1] E. Reiss. A theory for the small rotationally symmetric deformations of cylindrical shells , 1960 .

[2] E. Reissner. A New Derivation of the Equations for the Deformation of Elastic Shells , 1941 .

[3] K. O. Friedrichs,et al. A boundary-layer theory for elastic plates , 1961 .

[4] E. Reissner. On the Derivation of the Theory of Thin Elastic Shells , 1963 .

[5] A Note on Membrane and Bending Stresses in Spherical Shells , 1956 .

[6] W. Flügge,et al. Die Stabilität der Kreiszylinderschale , 1932 .

[7] E. Reissner. On the derivation of boundary conditions for plate theory , 1963, Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences.

[8] E. Reissner,et al. On the Foundations of the Theory of Thin Elastic Shells , 1958 .

[9] T. Charlton. Progress in Solid Mechanics , 1962, Nature.

[10] E. Reissner. On asymptotic solutions for nonsymmetric deformations of shallow shells of revolution , 1964 .

[11] Hermann Schaefer,et al. Die Analogie zwischen den Verschiebungen und den Spannungsfunktionen in der Biegetheorie der Kreiszylinderschale , 1960 .

[12] W. Günther,et al. Analoge Systeme von Schalengleichungen , 1961 .

[13] E. Reissner,et al. Stress Strain Relations in the Theory of Thin Elastic Shells , 1952 .

[14] J. Radok,et al. The theory of thin shells , 1959 .

[15] James K. Knowles,et al. A Derivation of the Equations of Shell Theory for General Orthogonal Coordinates , 1956 .