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Mallett, R. L.; Wan, F. Y. M.

Spirally sinusoidal stress distributions in elastic helicoidal shells. (English) Zbl 0236.73096

Z. Angew. Math. Phys. 22(1971), 1029-1043 (1972).
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MSC:

74K15 Membranes
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[1] V.S. Chernin,First Integrals of the Static Equations and Compatibility Equations in Equilibrium Problems for a Rectilinear Helicoid, Akad. Nauk. SSSR, Itvestia, Mekhanika Tverdogo Tela, p. 88–96 (1969).
[2] R.L. Mallet,Circumferentially Sinusoidal Stress and Strain Distributions in Helicoidal Shells, Ph. D. Thesis, M.I.T., September 1970.
[3] L. Maunder andE. Reissner,Pure Bending of Pretwisted Rectangular Plates, J. Mech. Phys. Solids5, 261–266 (1957). · Zbl 0088.16705 · doi:10.1016/0022-5096(57)90018-2
[4] E. Reissner,On Twisting and Stretching of Helicoidal Shells, Proc. IUTAM Symp. on Thin Shell Theory (1959), p. 434–466 (1960).
[5] E. Reissner,On the Foundations of the Theory of Elastic Shells, Proc. 11th Intern. Congr. Appl. Mech. (1964), Springer-Verlag, p. 20–30 (1966). · Zbl 0125.14603
[6] E. Reissner andF.Y.M. Wan,On Stretching, Twisting, Pure Bending and Flexure of Pretwisted Elastic Plates, Int. J. Solids and Structures7, 625–637 (1971). · Zbl 0219.73066 · doi:10.1016/0020-7683(71)90118-1
[7] J.G. Simmonds,Simplification and Reduction of the Sanders-Koiter Linear Shell Equations for Various Midsurface Geometriés, Quart. Appl. Math.28, 259–275 (1970). · Zbl 0222.73093
[8] F.Y.M. Wan,A Class of Unsymmetric Stress Distributions in Helicoidal Shells, Quart. Appl. Math.24, 374–379 (1967). · Zbl 0149.43601
[9] F.Y.M. Wan,Pure Bending of Shallow Helicoidal Shells, J. Appl. Mech.35, 387–392 (1968).
[10] F.Y.M. Wan,The Side Force Problem for Shallow Helicoidal Shells, J. Appl. Mech.36, 292–295 (1969). · Zbl 0184.50902
[11] F.Y.M. Wan,Circumferentially Sinusoidal Stress Distributions in Shells of Revolution, Int. J. Solids Structures6, 959–973 (1970). · Zbl 0194.26802 · doi:10.1016/0020-7683(70)90007-7
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