By Eric Reissner (auth.), Genki Yagawa, Satya N. Atluri (eds.)

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Figure 8. 00 1-29 "! Cl Z W W w a: r "- CIRCUMFERENTIAL BENDING STRESS, Ihlapo]o9,B, ON OUTER FACE AT fREE END, rf 1Ih12fPo loB,B FOR PARABOLOIDAL SHELL] . ci .... W RF .. 00 1 2 3 r,/k , 4 I: .... 00 9 (f) 10 ~-: w a: .... 1 .. , .. RF/RS . 7-" . •J .. 0 Figure 9. Uniform Pressure on Dome with Polar Opening with Fixed Support Plotted with Respect to Ratio of Boundary radii (rf/r s ), Poisson's Ratio (v). 14 DEFLECTION, (2En/a 1 p ol ..... [IEhl2llPolw FOR PARABOLOIDAL SHELL] RS- Rs·rJk CURve RF" Rf·rflk 2 3 1 , 4 Figure 10.

XII-109 Author Index Chapter I Plates and Shells Some Problems of Shearing and Twisting of Shallow Spherical Shells Eric Reissner Department of Applied Mechanics and Engineering Sciences, University of California, San Diego, La Jolla, CA 92093, USA Summary and Introduction The present account has four separate purposes. The first of these is a concise rederivation of some results for two problems of stress concentration in shallow spherical shells due to the effect of a circular hole, or rigid insert.

IJNJV1E, 19 (1983) 1741-1752. 8. D. et al: A study of quadrilateral plate bending elements with "reduced integration". 7, (1978). 9. : Variational method in elastisity and plasticity. Pergamon Press, 3rd Edition, 1982. 10. : The effect of transverse-shear deformation on bending of elastic plates. 2, June 1945, 69-77. 11. : Concepts and applications of finite element analysis. 2nd Edition, John Wiley & Sons, New York, 1981. 12. L. et al: A serendipity cubic-displacement hybrid stress element for thin and moderately thick plates.