The static-geometric duality and a staggered mesh scheme in the numerical solution of some shell problems. (English) Zbl 0282.73038
References:
| [1] | Cherni, On the system of differential equations of equilibrium of shells of revolution under bending loads, P.M.M. 23 pp 258– (1969) |
| [2] | Cherni, First integrals of the static equations and compatibility equations in equilibrium problems for a rectilinear helicoid, in: Akad. Nauk, SSSR, Izvestia, Mekhanika Tverdova Tela pp 89– (1969) |
| [3] | Mallett, Circumferentially sinusoidal stress and strain distributions in helicoidal shells, Ph.D. Thesis, M.I.T. (1970) |
| [4] | Mallett, Spirally sinusoidal stress distributions in elastic helicoidal shells, J. Appl. Math. & Phys. (ZAMP) 22 pp 1029– (1971) · Zbl 0236.73096 · doi:10.1007/BF01590871 |
| [5] | Maunder, Pure bending of pretwisted rectangular plates, J. Mech. Phys. Solids 5 pp 261– (1957) · Zbl 0088.16705 · doi:10.1016/0022-5096(57)90018-2 |
| [6] | Reissne, On the foundations of the theory of elastic shells, Proc. 11th Intern. Congr. Appl.Mech. pp 20– (1964) |
| [7] | Reissner, On axial extension and torsion of helicoidal shells, J. Math. and Phys. 47 pp 1– (1968) · Zbl 0159.26904 · doi:10.1002/sapm19684711 |
| [8] | Wan, A class of unsymmetric stress distributions in helicoidal shells, Quart. Appl. Math. 24 pp 374– (1967) · Zbl 0149.43601 · doi:10.1090/qam/99910 |
| [9] | Wan, Pure bending of shallow helicoidal shells, J. Appl. Mech. 35 pp 387– (1968) · doi:10.1115/1.3601207 |
| [10] | Wan, Two variational theorems for thin shells, J. Math. and Phys. 47 pp 492– (1968) · Zbl 0179.54504 · doi:10.1002/sapm1968471429 |
| [11] | Wan, The side force problem for shallow helicoidal shells, J. Appl. Mech. 36 pp 292– (1969) · Zbl 0184.50902 · doi:10.1115/1.3564623 |
| [12] | Wan, Circumferentially sinusoidal stress distributions in shells of revolution, Int. J. Solids Structures 6 pp 959– (1970) · Zbl 0194.26802 · doi:10.1016/0020-7683(70)90007-7 |
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