Abstract
In this paper, Neale's generalized variational principle about incremental boundary-value problems is utilized to study the effect of initial imperfections in geometry on the critical loads of elastic-plastic buckling of thin annular plates. The calculations show that, if the effect of initial imperfections in geometry is taken into account in the solutions by J2 incremental theory, the results are very close to the bifurcational buckling loads of the perfect annular plates according to the plastic deformation theory.
Similar content being viewed by others
References
Hill, R. and M. J. Sewell,A general theory of inelastic column failure-1, Journal of the Mechanics and Physics of Solids, Vol. 8 (1960), 105–111.
Batterman, S. C.,Plastic buckling of axially compressed cylindrical shells, AIAA Journal, Vol. 3, (1965), 316–325.
Ariaratnam, S. T. and R. N. Dubey,Instability in an elastic-plastic cylindrical shell under axial compression, J. Appl. Mech., 36, 47 (1969).
Onat, E. T. and D. C. Drucker,Inelastic instability and incremental theories of plasticity, Journal of the Aerospace Sciences, Vol. 20, (1953), 181–186.
Drucker, D. C. and E. T. Onat,On the concept of stability of inelastic systems, Journal of the Aerospace Sciences, Vol. 21, (1954), 543–548.
Neale, K. W.,A method for the estimation of plastic buckling loads, Int. J. Solids Structures 10, (1974), 217–230.
Neale, K. W.,Bifurcation in an elastic-plastic cylindrical shell under torsion, J. Appl. Mech. 40 (1973), 826.
Neale, K. W.,Effect of imperfection on the plastic buckling of rectangular plates, J. Appl. Mech., 3, (1975), 115–120.
Neale, K. W.,A general variational theorem for the rate problem in elasticplasticity, Int. J. Solids Struct. 8, (1972), 865.
Jiang Zhi-qing,Elastic-plastic stability of thin annular plate, Postgraduate Thesis of Fudan University, (1981).
Author information
Authors and Affiliations
Additional information
Communicated byOuyang Chang.
Rights and permissions
About this article
Cite this article
Zhi-qing, J. Effect of initial imperfections in geometry on the elastic-plastic stability of a thin annular plate. Appl Math Mech 4, 559–570 (1983). https://doi.org/10.1007/BF01874668
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01874668