Instability in an Elastic-Plastic Cylindrical Shell Under Axial Compression

1969 ◽  
Vol 36 (1) ◽  
pp. 47-50 ◽  
Author(s):  
S. T. Ariaratnam ◽  
R. N. Dubey
Keyword(s):  
Cylindrical Shell ◽  
Axial Compression ◽  
Wide Class ◽  
Yield Surface ◽  
Critical Stress ◽  
Elastic Plastic ◽  
Plastic Cylindrical Shell ◽  
Unit Normal

The condition for bifurcation of equilibrium for an elastic-plastic cylindrical shell under axial compression is established. The shape of the yield surface has been left arbitrary; hence the result is applicable to a wide class of inelastic solids. It is shown that the value of the critical stress is quite sensitive to the variation in the unit normal to the local yield surface.

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.

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