Abstract
In this paper we study the unsymmetrical bending of elastic flexible plates under various supports in case the tensile force acting on its boundary is zero.
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Chien Wei-zang, Sci. Rep. Nat. Tsing Hua Univ, Ser. A, Asymptotic behavior of a thin clamped circular plate under normal pressure at very large deflection, Vol. 5, (1948), 71–94.
Jiang Fu-ru, Some applications of perturbation method in plate bending problems, Applied Mathematics and Mechanics, Vol. 1 No. 1 (1980), 35–53.
Jiang Fu-ru, Unsymmetrical bending of annular and circular thin plates under various supports (I), Applied Mathematics and Mechanics, Vol. 3 No. 3, (1982) 683.
Fowkes, N. D., Quart. Appl. Math., A singular perturbation method, Part II, Vol. 26, (1968), 71–85.
Срубшик, Л. С., Об аскмлтотическом интегрировании спцтемынелинейдых уравнсдий теории пластии, П рuклагная Мамемамuка u Механuка. Т28 (1964), 335–349.
Chien Wei-zang and Yeh Kai-yuan, Acta Scientia Sinica, On the large deflection of circular plate, Vol. 3, 4, (1954), 403–436.
Bromberg, E., Comm. Pure and Appl. Math., Nonlinear bending of a circular plate under normal pressure, Vol. 9, (1956), 633–659.
Fife, P., Comm. Pure and Appl. Math., Nonlinear deflection of thin elastic plates under tension, Vol. 14, (1961), 81–112.
Alzheimer, W. E. and R. T. Davis, J. Eng. Mehc. Div. Proc. ASCE, Unsymmetrical bending of prestressed annular plates, Vol. 4, (1968), 905–917.
Erdelyi, A., Asymptotic Expansions, Dover Publications, Inc., (1956).
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Fu-ru, J. Unsymmetrical bending of annular and circular thin plates under various supports (II). Appl Math Mech 5, 1173–1184 (1984). https://doi.org/10.1007/BF01895113
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DOI: https://doi.org/10.1007/BF01895113