Plastic Analysis of Rib-Reinforced Cylindrical Shells

1967 ◽  
Vol 34 (1) ◽  
pp. 37-42 ◽  
Author(s):  
Andre Biron ◽  
Antoni Sawczuk
Keyword(s):  
Cylindrical Shell ◽  
Yield Surface ◽  
Axial Load ◽  
Constant Pressure ◽  
Yield Condition ◽  
Mapping Method ◽  
Sample Problem ◽  
Strain Mapping ◽  
Tresca Yield Condition ◽  
Plastic Analysis

Using the strain-mapping method for the Tresca yield condition, the yield surface is derived for a cylindrical shell with a wall reinforced by longitudinal ribs on one side. Results are given for the case where the axial load is zero. As a sample problem utilizing this surface and as an appropriate method for solving nonlinear equations, the solution of a cantilever shell under constant pressure is obtained.

Limit Analysis for Combined Edge and Pressure Loading on a Cylindrical Shell

1971 ◽  
Vol 93 (4) ◽  
pp. 998-1006
Author(s):  
H. S. Ho ◽  
D. P. Updike
Keyword(s):  
Cylindrical Shell ◽  
Velocity Field ◽  
Axial Force ◽  
Shear Force ◽  
Circular Cylindrical Shell ◽  
Yield Condition ◽  
External Pressure ◽  
Tresca Yield Condition ◽  
Stress States ◽  
Range Of Values

Equations describing the stress field and velocity field occurring in a circular cylindrical shell at plastic collapse are derived corresponding to stress states lying on each face of a yield surface for a uniform shell of material obeying the Tresca yield condition. They are then applied to the case of a shell under combined axisymmetric loadings (moment, shear force, and axial force) at one end and uniform internal or external pressure on the lateral surface. For a sufficiently long shell, complete solutions are obtained for a fixed far end, and for a certain range of values of axial force and pressure, they are obtained for a free far end. All the solutions are represented by either closed form or by quadratures. It is shown that in many cases the radial velocity field is proportional to the shear force.

The Yielded Compound Cylinder in Generalized Plane Strain

1961 ◽  
Vol 83 (4) ◽  
pp. 441-448 ◽  
Author(s):  
S. J. Becker
Keyword(s):  
Plane Strain ◽  
Axial Load ◽  
Axial Strain ◽  
Complete Solution ◽  
Yield Condition ◽  
Compound Cylinder ◽  
Elastic Zone ◽  
Tresca Yield Condition ◽  
Internal Pressures ◽  
Generalized Plane Strain

The theory of a previous paper [1], which was designed for plane strain of a compound cylinder, is extended to generalized plane strain, where the axial strain is a constant nonzero value for every radius and depends only on the external and internal pressures and any extraneous axial load. The method is limited to incompressible elastic material and is found to be completely solvable only if an elastic zone exists in each component. The assumed Tresca yield condition is verified in the process of obtaining the complete solution.

Yield Conditions for Rotationally Symmetric Shells Under Axisymmetric Loading

1960 ◽  
Vol 27 (2) ◽  
pp. 323-331 ◽  
Author(s):  
P. G. Hodge
Keyword(s):  
Yield Surface ◽  
Yield Condition ◽  
Uniform Pressure ◽  
Stress Space ◽  
Reasonable Accuracy ◽  
Spherical Cap ◽  
Axisymmetric Loading ◽  
Tresca Yield Condition ◽  
Rotationally Symmetric ◽  
Yield Conditions

The yield condition for a rotationally symmetric shell may be represented as a surface in a four-dimensional stress space. The exact yield surface according to the Tresca yield condition is compared with various approximations. A new approximation is suggested which combines the advantages of mathematical simplicity and reasonable accuracy. The theory is illustrated with reference to a spherical cap under uniform pressure.

On Strain-Hardened Circular Cylindrical Shells

1960 ◽  
Vol 27 (3) ◽  
pp. 489-495 ◽  
Author(s):  
Nicholas Perrone ◽  
P. G. Hodge
Keyword(s):  
Cylindrical Shell ◽  
Axial Load ◽  
Kinematic Hardening ◽  
Cylindrical Shells ◽  
Yield Condition ◽  
General Flow ◽  
Rotationally Symmetric ◽  
Hardening Theory ◽  
Circular Cylindrical Shells ◽  
Flow Laws

A consistent kinematic hardening theory termed complete hardening, based on a Tresca initial yield condition, has been applied to determine the general flow laws for rotationally symmetric shells. Representative “long” and “short” cylindrical shell problems with zero axial load are solved using complete hardening and a simpler but approximate kinematic hardening theory, termed direct hardening. The direct-hardening results compare favorably with the complete hardening ones.

Elastic-Plastic Analysis of a Radially Loaded Spherical Shell

1989 ◽  
Vol 111 (1) ◽  
pp. 39-46 ◽  
Author(s):  
G. N. Brooks ◽  
C.-P. Leung
Keyword(s):  
Spherical Shell ◽  
Shallow Shell ◽  
Efficient Solution ◽  
Solution Method ◽  
Yield Condition ◽  
Computationally Efficient ◽  
Elastic Plastic ◽  
Tresca Yield Condition ◽  
Plastic Analysis ◽  
Infinite Extent

An elastic-plastic analysis of a spherical shell loaded radially through a rigid inclusion is performed. The sphere is modeled as a shallow shell of infinite extent. The Tresca yield condition is used to derive the elastic-plastic moment-curvature relationship in a simple form. This is used to develop a computationally efficient solution method.

Dynamic Plastic Response of Cylindrical Shells Under Gaussian Impulse

1980 ◽  
Vol 24 (01) ◽  
pp. 24-30
Author(s):  
S. Anantha Ramu ◽  
K. J. Iyengar
Keyword(s):  
Cylindrical Shells ◽  
Yield Condition ◽  
Longitudinal Axis ◽  
Plastic Behavior ◽  
Plastic Response ◽  
Marine Structures ◽  
Impulsive Load ◽  
Tresca Yield Condition ◽  
Impulsive Loads

The determination of the inelastic response of cylindrical shells under general impulsive loads is of relevance to marine structures such as submarines, in analyzing their slamming damages. The present study is concerned with the plastic response of a simply supported cylindrical shell under a general axisymmetric impulsive load. The impulsive load is assumed to impart an axisymmetric velocity to the shell, with a Gaussian distribution along the longitudinal axis of the shell. A simplified Tresca yield condition is used. The shell response is determined for various forms of impulses ranging from a concentrated impulse to a uniform impulse over the entire length of the shell. Conclusions about the influence of geometry of the shell and the spatial distribution of impulse on the plastic behavior of cylindrical shells are presented.

An Approximate Model for an Elastic-Plastic Pipe Element Under Combined Loading

1975 ◽  
Vol 97 (1) ◽  
pp. 22-28 ◽  
Author(s):  
L. D. Larson ◽  
W. F. Stokey ◽  
W. E. Franzen
Keyword(s):  
Strain Hardening ◽  
Axial Load ◽  
Analytical Approach ◽  
Limit Load ◽  
Approximate Model ◽  
Experimental Results ◽  
Combined Loading ◽  
Elastic Plastic ◽  
Plastic Pipe ◽  
Plastic Analysis

An approximate model for the elastic-plastic analysis of a pipe element under combined loading is developed. The model is obtained by generalizing a limit load solution for combined pressure, bending, torsion and axial load to include strain hardening. For various combinations of loading of tubes, curvatures and twist angles are predicted and compared with experimental results and those predicted by a more rigorous analytical approach. The comparison shows that good results are obtained from the approximate model.

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