Next article Numerical Methods and the Bending of Ellipsoidal ShellsG. D. Galletly, W. T. Kyner, and C. E. MollerG. D. Galletly, W. T. Kyner, and C. E. Mollerhttps://doi.org/10.1137/0109043PDFPDF PLUSBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1] P. M. Naghdi and , C. Nevin De Silva, Deformation of elastic ellipsoidal shells of revolution, Proceedings of the Second U. S. National Congress of Applied Mechanics, Ann Arbor, 1954, American Society of Mechanical Engineers, New York, 1955, 333–343 MR0076557 0064.19002 Google Scholar[2] G. D. Galletly and , J. R. M. Radok, On the accuracy of some shell solutions, J. Appl. Mech., 26 (1959), 577–583 MR0110292 0091.39104 Google Scholar[3] S. D. Conte and , R. T. Dames, An alternating direction method for solving the biharmonic equation. , Math. Tables Aids Comput., 12 (1958), 198–205 MR0105813 0083.12304 CrossrefGoogle Scholar[4] G. D. Galletly, Bending of 2:1 and 3:1 open-crown ellipsoidal shells, Welding Research Council, New York, 1959, Bulletin No. 54, October Google Scholar[5] W. E. Milne, Numercal Solutions of Differential Equations, Wiley, New York, 1953 0050.12202 Google Scholar[6] G. D. Galletly, On particular integrals for toroidal shells subjected to uniform internal pressure, J. Appl. Mech., 25 (1958), 412– Google Scholar[7] G. D. Galletly, Torispherical shells—a caution to designers, Trans. A. S. M. E., Ser. B, 81 (1959), 51– Google Scholar[8] Raymond J. Roark, Formulas for stress and strain, McGraw-Hill, New York, 1943, 261– Google Scholar[9] Wilhelm Flügge, Stresses in shells, Springer-Verlag, Berlin, 1960xi+499 MR0116598 CrossrefGoogle Scholar Next article FiguresRelatedReferencesCited ByDetails Volume 9, Issue 4| 1961Journal of the Society for Industrial and Applied Mathematics489-699 History Submitted:27 January 1961Published online:10 July 2006 InformationCopyright © 1961 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0109043Article page range:pp. 489-513ISSN (print):0368-4245ISSN (online):2168-3484Publisher:Society for Industrial and Applied Mathematics