Geodesic
Buckling of elastic-plastic cylindrical and conical shells of revolution under axial impact loading
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 152 (2010) no. 4, pp. 86-105

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The article is devoted to the geometrically and physically linear and nonlinear formulations of the problems regarding the dynamic loading of shells of revolution. Analytical and numerical methods of solving the problems of impact buckling and supercritical behavior of elastic and elastic-plastic shells of revolution following axisymmetric and non-axisymmetric forms are considered. The role of boundary, wave, geometrically and physically nonlinear effects is assessed, as well as the effect of the bound nature of axisymmetric and non-axisymmetric forms in the process of buckling with multistage loss of stability. The non-axisymmetric forms of the loss of stability of cylindrical shells in the elastic-plastic region are realized according to the second and third forms both for static and dynamic loading, and, hence, the theory of shallow shells is not applicable for analyzing these processes.
Keywords: impact loading, cylindrical and conical shells, elastic-plastic buckling, critical parameters. 
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     author = {V. G. Bazhenov and M. S. Baranova and A. I. Kibetz and V. K. Lomunov and E. V. Pavlenkova},
     title = {Buckling of elastic-plastic cylindrical and conical shells of revolution under axial impact loading},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
     pages = {86--105},
     publisher = {mathdoc},
     volume = {152},
     number = {4},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2010_152_4_a8/}
}
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V. G. Bazhenov; M. S. Baranova; A. I. Kibetz; V. K. Lomunov; E. V. Pavlenkova. Buckling of elastic-plastic cylindrical and conical shells of revolution under axial impact loading. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki, Tome 152 (2010) no. 4, pp. 86-105. http://geodesic.mathdoc.fr/item/UZKU_2010_152_4_a8/