The static–geometric analogy in the equations of thin shell structures

Timoshenko, 1951, Theory of elasticity, 24

10.1115/1.3408515

Sanders, 1959, National Aeronautics and Space Administration Technical Report R24

Maxwell, 1856, On the transformation of surfaces by bending, Trans. Cambridge Philos. Soc., 9, 445

Lur'e, 1940, General theory of elastic shells (in Russian), Prikl. Mat. Mekh., 4, 7

Koiter, 1963, The effect of axisymmetric imperfections on the buckling of cylindrical shells under axial compression, Proc. Kon. Ned. Acad. Wet. (B), 66, 265

10.1016/0020-7403(69)90017-4

Gol'denweiser, 1940, Equations of the theory of thin shells (in Russian), Prikl. Mat. Mekh., 4, 35

10.1002/sapm1946251279

(13) Gauss K. F. General investigation of curved surfaces (in Latin) (transl. by J. C. Morehead, and A. M. Hiltebeitel), (Hewlett, New York: Raven Press, 1965).

10.1016/0020-7683(72)90060-1

Donnell, 1933, National Advisory Committee for Aeronautics, 497

Calladine, Thin-walled elastic shells analysed by a Rayleigh method, Int. J. Solids Structures

Aleksandrov, 1967, Intrinsic geometry of surfaces

10.1101/SQB.1962.027.001.005

Budiansky, 1963, Progress in applied mechanics; the Prager anniversary volume, 129

10.1007/978-3-642-88291-3_7

Timoshenko, 1959, Theory of plates and shells

Naghdi, 1972, Handbuch der Physik, Band VIaa/2, 425

Hilbert, 1952, Geometry and the imagination, 193

10.1016/0020-7683(72)90036-4

Flügge, 1962, Statik und Dynamik der Schalen, 202, 10.1007/978-3-642-49870-1

Marguerre, 1939, Zur Theorie der gekrümmten Platte groβer Formänderung, Proc. 5th Intern. Cong. Appl. Mech., Cambridge, Mass., 93

Koiter, 1966, On the nonlinear theory of thin elastic shells, Proc. Kon. Ned. Acad. Wet. (B), 69, 1

Novozhilov, 1959, The theory of thin shells

Calladine, 1972, Creep in structures: Proc. IUTAM Symposium, Gothenburg, 247

10.1115/1.3408514

10.1002/9780470172766

10.1016/0020-7683(71)90080-1

10.1016/0021-8928(63)90104-7

Gol'denweiser, 1961, Theory of elastic thin shells, 92

Lur'e, 1961, Problems of continuum mechanics; the Muskhelisvili anniversary volume, 267