Conclusions
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1.
A short shell under moderate load is deformed into a frustum of a cone.
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2.
A long shell under moderate load also has the shape of a frustum of a cone in the acceleration stage, but in the deceleration stage the shell is divided into two parts by a moving hinge region: the zone between the fixed and hinge regions gradually escapes from the deformation process and the other zone continues in motion in the form of a frustum of a cone.
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3.
A short shell under heavy load consists in the acceleration stage, of two frustums of a cone separated by a fixed hinge region; in the deceleration stage, the shape of the shell is maintained up to a definite time, but the hinge region, gradually decelerating, moves to the free end of the shell until it stops and the generator becomes straight; at the end of the process, the shell has the shape of a frustum of a cone.
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4.
A long shell under heavy load is deformed just like a short shell in the acceleration stage, but in the deceleration stage its shape is the same only for certain values of shell dimension and of deformation time.
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Literature Cited
M. I. Erkhov, “Problems in design of construction beyond the elastic limit for dynamic load,”, in: Transactions of the Central Scientific-Research Institute of Structural Parts, Structural Design [in Russian], Vol. 6, Moscow (1970).
A. P. Kuzin and G. S. Shapiro, “Effect of a free edge on dynamic bending of a rigid-plastic cylindrical shell,” Izv. Akad. Nauk SSSR, Mekhanika, No. 3 (1965).
P. G. Hodge, “Impact pressure loading of rigid-plastic cylindrical shells,” J. Mech. Phys. Solids, No. 3 (1955).
Y. V. Nemirovsky and V. M. Mazolov, “Dynamic behavior of cylindrical shells strengthened with ring ribs,” Int. J. Solids Struct.,5 (1969).
R. Sankaranarayanan, “Dynamic response of plastic circular shells under lateral and hydrostatic pressures,” J. Aeron. Soc. (India), No. 14 (1962).
Additional information
N. E. Bauman Moscow Higher Technical School, Moscow. Omsk. Translated from Prikladnaya, Mekhanika, Vol. 11, No. 7, pp. 63–69, July, 1975.
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Kolesnikov, S.M., Kostrik, V.K. Behavior of a rigid-plastic cylindrical shell under an external pressure pulse. Soviet Applied Mechanics 11, 737–742 (1975). https://doi.org/10.1007/BF00884842
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DOI: https://doi.org/10.1007/BF00884842