Symmetric Bending of Thick Circular Plates

Previous article Next article Symmetric Bending of Thick Circular PlatesEdward L. ReissEdward L. Reisshttps://doi.org/10.1137/0110045PDFBibTexSections ToolsAdd to favoritesExport CitationTrack CitationsEmail SectionsAbout[1A] K. O. Friedrichs, The edge effect in the bending of plates, Reissner Anniversary Volume, Contributions to Applied Mechanics, J. W. Edwards, Ann Arbor, Michigan, 1948, 197–210 MR0030431 0040.26603 Google Scholar[1B] K. O. Friedrichs, Kirchhoff's boundary conditions and the edge effect for elastic platesProc. Symposia Appl. Math. vol. 3, McGraw-Hill Book Co., New York, N. Y., 1950, 117–124 MR0042293 0041.52907 CrossrefGoogle Scholar[2] K. O. Friedrichs and , R. F. Dressler, A boundary-layer theory for elastic plates, Comm. Pure Appl. Math., 14 (1961), 1–33 MR0122117 0096.40001 CrossrefISIGoogle Scholar[3] A. E. H. Love, A treatise on the Mathematical Theory of Elasticity, Dover Publications, New York, 1944xviii+643, 4th ed. MR0010851 0063.03651 Google Scholar[4] S. Timoshenko, Theory of plates and shells, McGraw-Hill, New York, 1940 Google Scholar[5] J. J. Stoker, Mathematical problems connected with the bending and buckling of elastic plates, Bull. Amer. Math. Soc., 48 (1942), 247–261 MR0006324 0061.43001 CrossrefGoogle Scholar[6] K. O. Friedrichs, Asymptotic phenomena in mathematical physics, Bull. Amer. Math. Soc., 61 (1955), 485–504 MR0074614 0068.16406 CrossrefGoogle Scholar[7A] Eric Reissner, On the theory of bending of elastic plates, J. Math. Phys. Mass. Inst. Tech., 23 (1944), 184–191 MR0011647 0061.42501 Google Scholar[7B] Eric Reissner, The effect of transverse shear deformation on the bending of elastic plates, J. Appl. Mech., 12 (1945), A-69–A-77, On the bending of elastic plates, Quart. Appl. Math., 5 (1947), pp. 55–68 MR0012579 0063.06470 ISIGoogle Scholar[8] Edward L. Reiss and , Stanley Locke, On the theory of plane stress, Quart. Appl. Math., 19 (1961), 195–203 MR0136130 0107.18303 CrossrefGoogle Scholar[9] Edward L. Reiss, A theory for the small rotationally symmetric deformations of cylindrical shells, Comm. Pure Appl. Math., 13 (1960), 531–550 MR0135305 0111.21104 CrossrefISIGoogle Scholar[10] M. W. Johnson and , E. Reissner, On the foundations of the theory of thin elastic shells, J. Math. Phys., 37 (1959), 371–392 MR0102225 0086.18103 CrossrefGoogle Scholar[11] E. Reissner, On some problems in a shell theoryStructural mechanics, Pergamon Press, New York, 1960, 74–114 MR0129205 0106.38304 Google Scholar[12] S. Timoshenko and , J. N. Goodier, Theory of Elasticity, McGraw-Hill Book Company, Inc., New York, Toronto, London, 1951, 351–, 2nd Ed. MR0045547 0045.26402 Google Scholar[13] A. L. Goldenveizer, On Reissner's theory of the bending of plates, N.A.S.A. Rep. No. TTF-27, 1960, May, (translated from Izv. Otd. Tehn. Nauk, ANSSR, 1958, pp. 102–109) Google Scholar Previous article Next article FiguresRelatedReferencesCited byDetails Extension of an Infinite Plate with a Circular Hole13 July 2006 | Journal of the Society for Industrial and Applied Mathematics, Vol. 11, No. 4AbstractPDF (956 KB) Volume 10, Issue 4| 1962Journal of the Society for Industrial and Applied Mathematics History Submitted:26 July 1961Published online:13 July 2006 InformationCopyright © 1962 Society for Industrial and Applied MathematicsPDF Download Article & Publication DataArticle DOI:10.1137/0110045Article page range:pp. 596-609ISSN (print):0368-4245ISSN (online):2168-3484Publisher:Society for Industrial and Applied Mathematics