Abstract
In this paper, the method of composite expansions which was proposed by W. Z. Chien [1] is presented to obtain asymptotic solutions for large deflection problems of shallow spherical shells. For shallow spherical shells with simple or clamped support under a uniformly distributed load, the problems, which are to solve the corresponding asymptotic differential equations, may all be reduced to solving the minimal value of a certain functional.
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References
Chien Wei-zang, “Asymptotic behaviour of a thin clamped circular plate under uniform normal pressure at very large deflection”, Science Report of Tsing Hua University 5, 1 (1948), 71–86.
Chien Wei-zang, “Large deflection of a circular clamped plate under uniform pressure”, Chinese Journal of Physics 7, 2 (1947), 102–113.
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© 1987 Martinus Nijhoff Publishers, Dordrecht
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Huan-Wen, C. (1987). Composite expansion method applied to large deflection problems of spherical shells. In: Kai-yuan, Y. (eds) Progress in Applied Mechanics. Mechanics of Surface Structures, vol 6. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-3487-0_19
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DOI: https://doi.org/10.1007/978-94-009-3487-0_19
Publisher Name: Springer, Dordrecht
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