A Parametric Study of Elastic-Plastic-Creep Buckling of a Thin Cylindrical Shell

1974 ◽  
Vol 96 (3) ◽  
pp. 155-161 ◽  
Author(s):  
I. Berman ◽  
J. M. Chern ◽  
G. D. Gupta
Keyword(s):  
Cylindrical Shell ◽  
External Pressure ◽  
Buckling Load ◽  
Sustained Load ◽  
Thin Cylindrical Shell ◽  
Elastic Plastic ◽  
Creep Buckling ◽  
Explicit Reference ◽  
Class 1 ◽  
Plastic Creep

The elastic-plastic-creep buckling of a long thin cylindrical shell with initial out-of-roundness subjected to uniform external pressure is herein studied. The work is carried out by means of an economical computer program which consistently accounts for the effects of load changes and plastic strains and which has a calculation procedure based on direct integration. The ratio of the sustained load to the initial buckling load is discovered to be a parameter which relates the sustained load to the buckling time without explicit reference to the geometric parameters for the conditions considered. Other results are uncovered concerning the effect of: the shape of the imperfection, the temperature variations and the choice of creep relations on initial buckling load and buckling time. Alternatives to the expensive and time consuming calculations to meet the requirements of the time factor of safety on Code Case 1331 of the ASME Boiler and Pressure Vessel Code for Class 1 nuclear components are explored. Recommendations are made.

Effects of Material Parameter Variability on Buckling and Creep Fatigue Interaction at Elevated Temperature

1976 ◽  
Vol 98 (1) ◽  
pp. 75-80 ◽  
Author(s):  
I. Berman ◽  
A. C. Gangadharan ◽  
G. H. Jaisingh ◽  
G. D. Gupta
Keyword(s):  
Cylindrical Shell ◽  
Fatigue Damage ◽  
Initial Imperfection ◽  
External Pressure ◽  
304 Stainless Steel ◽  
Thin Cylindrical Shell ◽  
Elastic Plastic ◽  
Creep Buckling ◽  
Creep Fatigue ◽  
Type 304

The effects of variation of elastic-plastic and creep properties of type 304 stainless steel on solutions of two specific inelastic problems are studied in this paper. The problems considered are: 1 – elastic-plastic-creep buckling of a thin cylindrical shell with initial imperfection and sustained external pressure at high temperature; and 2 – creep and fatigue damage in a thin cylindrical shell subjected to cyclic thermal load and constant internal pressure. Some conclusions are drawn as to the relative importance of variations of different material parameters on initial buckling load, creep buckling time and creep and fatigue damage factors.

Elastic, Plastic, and Creep Buckling of Imperfect Cylinders Under Mechanical and Thermal Loading

1997 ◽  
Vol 119 (1) ◽  
pp. 27-36 ◽  
Author(s):  
M. R. Eslami ◽  
M. Shariyat
Keyword(s):  
Temperature Gradient ◽  
Thermal Loading ◽  
Cylindrical Shells ◽  
Elastic Shell ◽  
Fluid Pressure ◽  
External Pressure ◽  
Tangent Modulus ◽  
Arbitrary Length ◽  
Elastic Plastic ◽  
Creep Buckling

Based on the concept of secant and tangent modulus, the nonlinear equilibrium and stability equations of thin cylindrical shells under axial compression, external pressure, or external fluid pressure are derived. The resulting equations are applicable to shells without length limitation as the rotations and transverse shears are included in the derivations. The reduction factors for plastic and creep buckling are then obtained. A procedure for determining secant and tangent modulus in the very general case of elastic, plastic, or creep stress in the presence of temperature gradient is proposed. Then, using Donnell’s nonlinear theory of shells, the effect of initial imperfection on the strength of the elastic shell is discussed. The foregoing results are extended to plastic and creep buckling of cylindrical shells of arbitrary length and temperature gradient. Some design curves are proposed using the obtained equations. Finally, the present results are compared with available results in the literature and the accuracy of the method is examined.

Buckling of 2D-FG Cylindrical Shells under Combined External Pressure and Axial Compression

2013 ◽  
Vol 5 (03) ◽  
pp. 391-406 ◽  
Author(s):  
R. Mohammadzadeh ◽  
M. M. Najafizadeh ◽  
M. Nejati
Keyword(s):  
Cylindrical Shell ◽  
Axial Compression ◽  
Cylindrical Shells ◽  
Axial Direction ◽  
External Pressure ◽  
Functionally Graded ◽  
Buckling Load ◽  
Critical Buckling Load ◽  
Classical Shell Theory ◽  
The Stability

AbstractThis paper presents the stability of two-dimensional functionally graded (2D-FG) cylindrical shells subjected to combined external pressure and axial compression loads, based on classical shell theory. The material properties of functionally graded cylindrical shell are graded in two directional (radial and axial) and determined by the rule of mixture. The Euler’s equation is employed to derive the stability equations, which are solved by GDQ method to obtain the critical mechanical buckling loads of the 2D-FG cylindrical shells. The effects of shell geometry, the mechanical properties distribution in radial and axial direction on the critical buckling load are studied and compared with a cylindrical shell made of 1D-FGM. The numerical results reveal that the 2D-FGM has a significant effect on the critical buckling load.

Creep Buckling Under Varying Loads

1991 ◽  
Vol 113 (1) ◽  
pp. 41-45 ◽  
Author(s):  
N. Miyazaki ◽  
S. Hagihara ◽  
T. Munakata
Keyword(s):  
Cylindrical Shell ◽  
Spherical Shell ◽  
Circular Cylindrical Shell ◽  
Critical Time ◽  
Initial Imperfection ◽  
External Pressure ◽  
Deformation Analysis ◽  
The Finite Element Method ◽  
Creep Buckling ◽  
Damage Rule

Creep buckling analyses under stepwise varying loads are performed on a circular cylindrical shell with initial imperfection subjected to axial compression and a partial spherical shell under uniform external pressure. The finite element method is applied to a creep deformation analysis to obtain the critical time when creep buckling occurs. The results show that a linear cumulative damage rule for creep buckling can be well applied to the creep buckling of the circular cylindrical shell, but cannot to that of the partial spherical shell.

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