A class of unsymmetric stress distributions in helicoidal shells

Wan, Frederic Y. M.

doi:10.1090/qam/99910

Author: Frederic Y. M. Wan
Journal: Quart. Appl. Math. 24 (1967), 374-379
DOI: https://doi.org/10.1090/qam/99910
MathSciNet review: QAM99910
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References | Additional Information

Eric Reissner, On finite twisting and bending of circular ring sector plates and shallow helicoidal shells, Quart. Appl. Math. 11 (1954), 473–483. MR 59151, DOI https://doi.org/10.1090/S0033-569X-1954-59151-X
James K. Knowles and Eric Reissner, Torsion and extension of helicoidal shells, Quart. Appl. Math. 17 (1959/60), 409–422. MR 128149, DOI https://doi.org/10.1090/S0033-569X-1960-0128149-8
E. Reissner, On twisting and stretching of helicoidal shells, Proc. Sympos. Thin Elastic Shells (Delft, 1959) North-Holland, Amsterdam, 1960, pp. 434–466. MR 0135764
Roy George Sinclair, AXIAL TORSION AND EXTENSION OF HELICOIDAL SHELLS, ProQuest LLC, Ann Arbor, MI, 1961. Thesis (Ph.D.)–Massachusetts Institute of Technology. MR 2939262
Frederic Yui Ming Wan, TWISTING AND STRETCHING OF HELICOIDAL SHELLS, ProQuest LLC, Ann Arbor, MI, 1966. Thesis (Ph.D.)–Massachusetts Institute of Technology. MR 2939701

E. Reissner, Variational considerations for elastic beams and shells, Proc. of ASCE, J. of Eng. Mech., 88, Feb., 1962

F. Y. M. Wan, Bending of shallow helicoidal shells, (to appear)

A. E. H. Love, A treatise on the Mathematical Theory of Elasticity, Dover Publications, New York, 1944. Fourth Ed. MR 0010851
L. Maunder and E. Reissner, Pure bending of pretwisted rectangular plates, J. Mech. Phys. Solids 5 (1957), 261–266. MR 98508, DOI https://doi.org/10.1016/0022-5096%2857%2990018-2