Abstract
An exact analysis of bifurcation buckling of spherical sandwich shells, stressed by uniform external pressure beyond the elastic limits of the component materials is presented. The analysis accounts for transverse shear effects and considers buckling in axisymmetric and nonaxisymmetric modes. The material behaviour in the inelastic range is assumed according to both the J 2-incremental and J 2-deformation theories of plasticity. Results for elastic buckling follow as special cases.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Batterman, S.C. (1965). Plastic Buckling of Axially Compressed Cylindrical Shells. AIAA Journal, 3, 316–325.
Bijlaard, P.P. (1949). Theory and Tests on the Plastic Stability of Plates and Shells. J. Aero.Sc., 16:9, 529–541.
Flügge, W. (1967). Stresses in Shells, Springer Verlag Inc., New York.
Murnaghan, F.D. (1963). Introduction to Applied Mathematics, Dover Publications, New York.
Schwerin, E. (1922). Zur Stabilität der dünnwandigen Hohlkugel unter gleichmäßigem Außendruck. Z. angew. Math. u. Mech., 2:2, 81–91.
Shrivastava, S.C. (1995a). Inelastic Buckling of Rectangular Sandwich Plates. Int. J. Solids Structures, 32, 1099–1120.
Shrivastava, S.C. (1995b). Plastic Buckling of Cylindrical Sandwich Shells in Axial Compression. Abstract, Society of Engineering Science 32nd Annual Meeting, October 29-November 2, New Orleans, 547–548.
Shrivastava, S.C. (2001). Plastic Buckling of Spherical Sandwich Shells Under External Pressure. Proceedings of the International Conference on Structural Engineering, Mechanics and Computation, April 2— 4, Cape Town, South Africa, Ed. A. Zingoni, Elsevier, vol. 1, 557–564.
Timoshenko S. and Gere J. M. (1963). Theory of Elastic Stability, McGraw Hill, New York.
Van der Neut, A. (1932). De Elastische Stabiliteit van den Dunwandigen Bol, H. J. Paris, Amsterdam.
Washizu, K. (1975). Variational Methods in Elasticity and Plasticity, Pergamon Press, Oxford.
Zoelly, R. (1915). Über ein Knickungsproblem anl der Kugelschale, Dissertation, Zürich.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2002 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Shrivastava, S.C. (2002). Bifurcation Buckling of Spherical Sandwich Shells under External Pressure in Plastic Range. In: Drew, H.R., Pellegrino, S. (eds) New Approaches to Structural Mechanics, Shells and Biological Structures. Solid Mechanics and Its Applications, vol 104. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9930-6_29
Download citation
DOI: https://doi.org/10.1007/978-94-015-9930-6_29
Publisher Name: Springer, Dordrecht
Print ISBN: 978-90-481-6120-1
Online ISBN: 978-94-015-9930-6
eBook Packages: Springer Book Archive