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

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.

The Flexure of a Uniformly Pressurized, Circular, Cylindrical Shell

1958 ◽  
Vol 25 (4) ◽  
pp. 453-458
Author(s):  
J. D. Wood
Keyword(s):  
Cylindrical Shell ◽  
Potential Energy ◽  
Cross Section ◽  
Circular Cylindrical Shell ◽  
Minimum Potential Energy ◽  
Minimum Potential ◽  
The Cross ◽  
The Moment

Abstract This paper presents the moment-curvature relationship and the components of displacement in the cross section of a uniformly pressurized, long, closed, circular, cylindrical shell. The shell is loaded in one of its principal planes by two equal and opposite terminal couples: First, the shell undergoes small initial displacements. These are formed by superimposing pressurization displacements upon Saint Venant displacements. Second, from this deformed position the shell is perturbed into a system of additional small displacements. A Rayleigh-Ritz technique is used to find the latter displacements from the theorem of minimum potential energy. The point at which the moment-curvature relationship becomes nonlinear is shown by several curves in this paper.

Buckling of a Cylindrical Shell Subjected to Nonuniform External Pressure

1962 ◽  
Vol 29 (4) ◽  
pp. 675-682 ◽  
Author(s):  
B. O. Almroth
Keyword(s):  
Cylindrical Shell ◽  
Lateral Pressure ◽  
Circular Cylindrical Shell ◽  
External Pressure ◽  
Buckling Analysis ◽  
Graphical Form ◽  
Minimum Potential Energy ◽  
Minimum Potential ◽  
Ritz Procedure ◽  
The Stability

A buckling analysis is presented for a circular cylindrical shell subjected to nonuniform external pressure. The general approach is not restricted with respect to the distribution of the lateral pressure. However, the final formulation is specialized for the case in which the pressure distribution is of the form p = p0 + p1 cos φ within a centrally located circumferential band. In the buckling analysis the stability criterion is based on the principle of minimum potential energy, and the Rayleigh-Ritz procedure is used to expand the displacement components in trigonometric series. Buckling pressures are computed in terms of nondimensional parameters and are presented in graphical form.

The impact torsional buckling for the rigid plastic cylindrical shell

1993 ◽  
Vol 14 (8) ◽  
pp. 693-698 ◽  
Author(s):  
Wang De-yu ◽  
Zhang Shan-yuan ◽  
Yang Gui-tong
Keyword(s):  
Cylindrical Shell ◽  
Rigid Plastic ◽  
Torsional Buckling ◽  
Plastic Cylindrical Shell ◽  
The Impact

Displacements in an Elastic-Plastic Cylindrical Shell

1956 ◽  
Vol 23 (1) ◽  
pp. 73-79
Author(s):  
P. G. Hodge
Keyword(s):  
Cylindrical Shell ◽  
Elastic Limit ◽  
Radial Pressure ◽  
Collapse Load ◽  
Rigid Plastic ◽  
Elastic Plastic ◽  
Plastic Cylindrical Shell ◽  
Theoretical Results ◽  
Reinforced Cylindrical Shell ◽  
Plastic Theory

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.

scholarly journals Elastic Stability Analysis of a Two-Layered Functionally Graded Cylindrical Shell under Axial Compression with the use of Energy Approach

2009 ◽  
Vol 18 (6) ◽  
pp. 096369350901800 ◽  
Author(s):  
H. Sepiani ◽  
A. Rastgoo ◽  
M. Ahmadi ◽  
A.Ghorbanpour Arani ◽  
K. Sepanloo
Keyword(s):  
Cylindrical Shell ◽  
Potential Energy ◽  
Axial Compression ◽  
Elastic Layer ◽  
Elastic Stability ◽  
Functionally Graded ◽  
Power Law Distribution ◽  
Minimum Potential Energy ◽  
Equilibrium Equations ◽  
Minimum Potential

This paper investigates the elastic axisymmetric buckling of a thin, simply supported functionally graded (FG) cylindrical shell embedded with an elastic layer under axial compression. The analysis is based on energy method and simplified nonlinear strain-displacement relations for axial compression. Material properties of functionally graded cylindrical shell are considered graded in the thickness direction according to a power-law distribution in terms of the volume fractions of the constituents. Using minimum potential energy together with Euler equations, equilibrium equations are obtained. Consequently, stability equation of functionally graded cylindrical shell with an elastic layer is acquired by means of minimum potential energy theory and Trefftz criteria. Another analysis is made using the equivalent properties of FG material. Numerical results for stainless steel-ceramic cylindrical shell and aluminum layer are obtained and critical load curves are analyzed for a cylindrical shell with an elastic layer. A comparison is made to the results in the literature. The results show that the elastic stability of functionally graded cylindrical shell with an elastic layer is dependent on the material composition and FGM index factor, and the shell geometry parameters and it is concluded that the application of an elastic layer increases elastic stability and significantly reduces the weight of cylindrical shells.

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