Behavior of a rigid-plastic cylindrical shell under an external pressure pulse

Abstract A reinforced cylindrical shell which is loaded with a uniform excess external radial pressure can support a load considerably greater than the elastic limit. While several recent investigations have been concerned with finding the collapse load of the shell, no attention has been paid to the corresponding deformations. Although rigid-plastic theory is sufficient to determine the collapse load, the more complex elastic-plastic theory must be used in investigating the displacements. In the present paper the elastic-plastic problem is stated for an ideal sandwich shell, and the stresses and deformations are computed for a particular example. Since the computations are found to be quite laborious, an approximate technique, applicable to all shells, is developed. The paper closes with some comments on the relation between the theoretical results and the behavior to be expected in real shells.

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Dynamic Buckling of a Rigid-Plastic Cylindrical Shell: A Second Order Differential Equation Subject to Four Boundary Conditions

Inelastic Behaviour of Plates and Shells ◽

10.1007/978-3-642-82776-1_11 ◽

1986 ◽

pp. 225-241

Author(s):

Karen Zak Benbury ◽

M. A. Veluswami ◽

G. Horvay

Keyword(s):

Differential Equation ◽

Cylindrical Shell ◽

Boundary Conditions ◽

Order Differential Equation ◽

Dynamic Buckling ◽

Second Order ◽

Rigid Plastic ◽

Second Order Differential Equation ◽

Plastic Cylindrical Shell

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Plastic Deformation and Rupture of Ring-Stiffened Cylinders under Localized Pressure Pulse Loading

Shock and Vibration ◽

10.1155/1994/269484 ◽

1994 ◽

Vol 1 (3) ◽

pp. 289-301 ◽

Cited By ~ 1

Author(s):

Michelle S. Hoo Fatt

Keyword(s):

Plastic Deformation ◽

Cylindrical Shell ◽

Pressure Pulse ◽

Fracture Initiation ◽

Pulse Loading ◽

Rigid Plastic ◽

Stiffened Shell ◽

Closed Form Solutions ◽

Stiffened Cylindrical Shell ◽

Lumped Masses

An analytical solution for the dynamic plastic deformation of a ring-stiffened cylindrical shell subject to high intensity pressure pulse loading is presented. By using an analogy between a cylindrical shell that undergoes large plastic deformation and a rigid-plastic string resting on a rigid-plastic foundation, one derives closed-form solutions for the transient and final deflection profiles and fracture initiation of the shell. Discrete masses' and springs are used to describe the ring stiffeners in the stiffened shell. The problem of finding the transient deflection profile of the central bay is reduced to solving an inhomogeneous wave equation with inhomogeneous boundary conditions using the method of eigenfunction expansion. The overall deflection profile consists of both global (stiffener) and local (bay) components. This division of the shell deflection profile reveals a complex interplay between the motions of the stiffener and the bay. Furthermore, a parametric study on a ring-stiffened shell damaged by a succession of underwater explosions shows that the string-on-foundation model with ring stiffeners described by lumped masses and springs is a promising method of analyzing the structure.

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Dynamic buckling of a rigid-plastic cylindrical shell: a second order differential equation subject to four boundary conditions. Final report

10.2172/5922393 ◽

1979 ◽

Author(s):

K Zak ◽

M Veluswami ◽

G Horvay

Keyword(s):

Differential Equation ◽

Cylindrical Shell ◽

Boundary Conditions ◽

Order Differential Equation ◽

Dynamic Buckling ◽

Second Order ◽

Final Report ◽

Rigid Plastic ◽

Second Order Differential Equation ◽

Plastic Cylindrical Shell

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Carrying Capacity of an Elastic-Plastic Cylindrical Shell With Linear Strain-Hardening

Journal of Applied Mechanics ◽

10.1115/1.4011692 ◽

1958 ◽

Vol 25 (1) ◽

pp. 79-85

Author(s):

P. G. Hodge ◽

S. V. Nardo

Keyword(s):

Cylindrical Shell ◽

Carrying Capacity ◽

Circular Cylindrical Shell ◽

Maximum Load ◽

Isotropic Hardening ◽

Linear Strain ◽

Minimum Potential Energy ◽

Rigid Plastic ◽

Plastic Cylindrical Shell ◽

Minimum Potential

Abstract The approximate capacity of a thin-walled closed circular cylindrical shell, simply supported at each end and subjected to a uniform hydrostatic pressure, is determined. Elastic and plastic strains are considered, and the latter are assumed to follow a linear law of isotropic hardening. The principle of minimum potential energy is used to determine an approximate solution for the stress resultants, displacements, and maximum load. In an example, it is found that the carrying capacity is considerably lower than that predicted by either rigid-plastic theory or elasticity theory.

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